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 110/524, 286/944

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 110/524, 286/944 i.e 22/123664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/524, 286/944.

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 110/524,286/944?

Given fractions are 110/524,286/944

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 110/524,286/944, numerators are 110,286

Denominators are 524,944

The GCF of 110,286 is 22 .

LCM of 524,944 is 123664.

The greatest common factor of 110/524,286/944 = [GCF of 110,286]/[LCM of 524,944]= 22/123664

Therefore, the GCF of 110/524,286/944 is 22/123664.

Greatest Common Factor of 110,286

To find the highest common factor of 110,286, we have to find the factors of both numbers and list the highest common factor.

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110

The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286

The HCF of 110,286 is 22.

Lets's calculate GCF of 110,286

Greatest Common Factor (GCF) of 110,286 By Common Division

2 110, 286
11 55, 143
5, 13

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 110,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,286 By Matching Biggest Common Factor Method

Now, list down the factors of 110

:

1,2,5,10,11,22,55,110

Now, list down the factors of 286

:

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 110,286 . The biggest common factor number is the GCF number.
So the greatest common factor 110,286 is 22.

Lets's calculate LCM of 524,944

Lowest Common Multiple of 524,944 using Common Division

2 524, 944
2 262, 472
131, 236

∴ So the LCM of the given numbers is 2 x 2 x 131 x 236 = 123664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/123664

Therefore, the GCF of Fractions 110/524,286/944 is 22/123664

Least Common Multiple of 524,944 with GCF Formula

Least Common Multiple of 524,944 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 524,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,944) = 4

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

GCF(524,944) x common factors =4 x 1 = 4

LCM(524,944) = ( 524 × 944 ) / 4

LCM(524,944) = 494656 / 4

LCM(524,944) = 123664


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 110/524, 286/944

1. What is the HCF of 110,286?

The HCF of 110,286 is 22

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 110/524, 286/944?

Answer: GCF of Numerators as per given numbers 110/524, 286/944 is

GCF of Numerators i.e. for 110,286 is 22

LCM of denominators i.e. for 524,944 is 123664.

Thus, GCF of Fractions is 22/123664.Finally, GCF of Fractions for 110/524, 286/944 is 22/123664.