LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 956/522, 3632/494

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 956/522, 3632/494 i.e 4/128934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 956/522, 3632/494.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 956/522,3632/494?

Given fractions are 956/522,3632/494

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 956/522,3632/494, numerators are 956,3632

Denominators are 522,494

The GCF of 956,3632 is 4 .

LCM of 522,494 is 128934.

The greatest common factor of 956/522,3632/494 = [GCF of 956,3632]/[LCM of 522,494]= 4/128934

Therefore, the GCF of 956/522,3632/494 is 4/128934.

Greatest Common Factor of 956,3632

To find the highest common factor of 956,3632, we have to find the factors of both numbers and list the highest common factor.

The factors of 956 are 1, 2, 4, 239, 478, 956

The factors of 3632 are 1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632

The HCF of 956,3632 is 4.

Lets's calculate GCF of 956,3632

Greatest Common Factor (GCF) of 956,3632 By Common Division

2 956, 3632
2 478, 1816
239, 908

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 956,3632 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,3632 By Matching Biggest Common Factor Method

Now, list down the factors of 956

:

1,2,4,239,478,956

Now, list down the factors of 3632

:

1,2,4,8,16,227,454,908,1816,3632

Greatest Common Factor

We found the factors 956,3632 . The biggest common factor number is the GCF number.
So the greatest common factor 956,3632 is 4.

Lets's calculate LCM of 522,494

Lowest Common Multiple of 522,494 using Common Division

2 522, 494
261, 247

∴ So the LCM of the given numbers is 2 x 261 x 247 = 128934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/128934

Therefore, the GCF of Fractions 956/522,3632/494 is 4/128934

Least Common Multiple of 522,494 with GCF Formula

Least Common Multiple of 522,494 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 522,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,494) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(522,494) x common factors =2 x 1 = 2

LCM(522,494) = ( 522 × 494 ) / 2

LCM(522,494) = 257868 / 2

LCM(522,494) = 128934


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 956/522, 3632/494

1. What is the HCF of 956,3632?

The HCF of 956,3632 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 956/522, 3632/494?

Answer: GCF of Numerators as per given numbers 956/522, 3632/494 is

GCF of Numerators i.e. for 956,3632 is 4

LCM of denominators i.e. for 522,494 is 128934.

Thus, GCF of Fractions is 4/128934.Finally, GCF of Fractions for 956/522, 3632/494 is 4/128934.