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GCF of 402/688, 797/884

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 402/688, 797/884 i.e 1/152048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 402/688, 797/884.

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 402/688,797/884?

Given fractions are 402/688,797/884

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 402/688,797/884, numerators are 402,797

Denominators are 688,884

The GCF of 402,797 is 1 .

LCM of 688,884 is 152048.

The greatest common factor of 402/688,797/884 = [GCF of 402,797]/[LCM of 688,884]= 1/152048

Therefore, the GCF of 402/688,797/884 is 1/152048.

Greatest Common Factor of 402,797

To find the highest common factor of 402,797, we have to find the factors of both numbers and list the highest common factor.

The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402

The factors of 797 are 1, 797

The HCF of 402,797 is 1.

Lets's calculate GCF of 402,797

Greatest Common Factor (GCF) of 402,797 By Common Division

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

Greatest Common Factor of 402,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,797 By Matching Biggest Common Factor Method

Now, list down the factors of 402

:

1,2,3,6,67,134,201,402

Now, list down the factors of 797

:

1,797

Greatest Common Factor

We found the factors 402,797 . The biggest common factor number is the GCF number.
So the greatest common factor 402,797 is 1.

Lets's calculate LCM of 688,884

Lowest Common Multiple of 688,884 using Common Division

2 688, 884
2 344, 442
172, 221

∴ So the LCM of the given numbers is 2 x 2 x 172 x 221 = 152048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152048

Therefore, the GCF of Fractions 402/688,797/884 is 1/152048

Least Common Multiple of 688,884 with GCF Formula

Least Common Multiple of 688,884 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 688,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,884) = 4

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

GCF(688,884) x common factors =4 x 1 = 4

LCM(688,884) = ( 688 × 884 ) / 4

LCM(688,884) = 608192 / 4

LCM(688,884) = 152048


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FAQs on GCF of Fractions of 402/688, 797/884

1. What is the HCF of 402,797?

The HCF of 402,797 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 402/688, 797/884?

Answer: GCF of Numerators as per given numbers 402/688, 797/884 is

GCF of Numerators i.e. for 402,797 is 1

LCM of denominators i.e. for 688,884 is 152048.

Thus, GCF of Fractions is 1/152048.Finally, GCF of Fractions for 402/688, 797/884 is 1/152048.