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 424/96, 958/656

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 424/96, 958/656 i.e 2/3936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/96, 958/656.

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 424/96,958/656?

Given fractions are 424/96,958/656

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 424/96,958/656, numerators are 424,958

Denominators are 96,656

The GCF of 424,958 is 2 .

LCM of 96,656 is 3936.

The greatest common factor of 424/96,958/656 = [GCF of 424,958]/[LCM of 96,656]= 2/3936

Therefore, the GCF of 424/96,958/656 is 2/3936.

Greatest Common Factor of 424,958

To find the highest common factor of 424,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The factors of 958 are 1, 2, 479, 958

The HCF of 424,958 is 2.

Lets's calculate GCF of 424,958

Greatest Common Factor (GCF) of 424,958 By Common Division

2 424, 958
212, 479

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

Greatest Common Factor of 424,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,958 By Matching Biggest Common Factor Method

Now, list down the factors of 424

:

1,2,4,8,53,106,212,424

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 424,958 . The biggest common factor number is the GCF number.
So the greatest common factor 424,958 is 2.

Lets's calculate LCM of 96,656

Lowest Common Multiple of 96,656 using Common Division

2 96, 656
2 48, 328
2 24, 164
2 12, 82
6, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 6 x 41 = 3936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3936

Therefore, the GCF of Fractions 424/96,958/656 is 2/3936

Least Common Multiple of 96,656 with GCF Formula

Least Common Multiple of 96,656 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 96,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,656) = 16

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

GCF(96,656) x common factors =16 x 1 = 16

LCM(96,656) = ( 96 × 656 ) / 16

LCM(96,656) = 62976 / 16

LCM(96,656) = 3936


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 424/96, 958/656

1. What is the HCF of 424,958?

The HCF of 424,958 is 2

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 424/96, 958/656?

Answer: GCF of Numerators as per given numbers 424/96, 958/656 is

GCF of Numerators i.e. for 424,958 is 2

LCM of denominators i.e. for 96,656 is 3936.

Thus, GCF of Fractions is 2/3936.Finally, GCF of Fractions for 424/96, 958/656 is 2/3936.