How to Find GCF of 28/31, 635/36, 962/634?

GCF of 28/31, 635/36, 962/634

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 28/31, 635/36, 962/634 i.e 1/353772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/31, 635/36, 962/634.

Enter two or more fractions separated by "commas"

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

What is the GCF of 28/31,635/36,962/634?

Given fractions are 28/31,635/36,962/634

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 28/31,635/36,962/634, numerators are 28,635,962

Denominators are 31,36,634

The GCF of 28,635,962 is 1 .

LCM of 31,36,634 is 353772.

The greatest common factor of 28/31,635/36,962/634 = [GCF of 28,635,962]/[LCM of 31,36,634]= 1/353772

Therefore, the GCF of 28/31,635/36,962/634 is 1/353772.

Greatest Common Factor of 28,635,962

To find the highest common factor of 28,635,962, we have to find the factors of both numbers and list the highest common factor.

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 635 are 1, 5, 127, 635

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The HCF of 28,635,962 is 1.

Lets's calculate GCF of 28,635,962

Greatest Common Factor (GCF) of 28,635,962 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 28,635,962 By Matching Biggest Common Factor Method

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 635

1,5,127,635

Now, list down the factors of 962

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 28,635,962 . The biggest common factor number is the GCF number.
So the greatest common factor 28,635,962 is 1.

Lets's calculate LCM of 31,36,634

Lowest Common Multiple of 31,36,634 using Common Division

2	31, 36, 634
	31, 18, 317

∴ So the LCM of the given numbers is 2 x 31 x 18 x 317 = 353772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353772

Therefore, the GCF of Fractions 28/31,635/36,962/634 is 1/353772

Least Common Multiple of 31,36,634 with GCF Formula

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

We need to calculate greatest common factor of 31,36,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,36,634) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,36,634) x common factors =1 x 2 = 2

LCM(31,36,634) = ( 31 × 36 × 634 ) / 2

LCM(31,36,634) = 707544 / 2

LCM(31,36,634) = 353772

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 28/31, 635/36, 962/634

1. What is the HCF of 28,635,962?

The HCF of 28,635,962 is 1

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 28/31, 635/36, 962/634?

Answer: GCF of Numerators as per given numbers 28/31, 635/36, 962/634 is

GCF of Numerators i.e. for 28,635,962 is 1

LCM of denominators i.e. for 31,36,634 is 353772.

Thus, GCF of Fractions is 1/353772.Finally, GCF of Fractions for 28/31, 635/36, 962/634 is 1/353772.