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GCF of 634/768, 3295/996

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 634/768, 3295/996 i.e 1/63744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 634/768, 3295/996.

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 634/768,3295/996?

Given fractions are 634/768,3295/996

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 634/768,3295/996, numerators are 634,3295

Denominators are 768,996

The GCF of 634,3295 is 1 .

LCM of 768,996 is 63744.

The greatest common factor of 634/768,3295/996 = [GCF of 634,3295]/[LCM of 768,996]= 1/63744

Therefore, the GCF of 634/768,3295/996 is 1/63744.

Greatest Common Factor of 634,3295

To find the highest common factor of 634,3295, we have to find the factors of both numbers and list the highest common factor.

The factors of 634 are 1, 2, 317, 634

The factors of 3295 are 1, 5, 659, 3295

The HCF of 634,3295 is 1.

Lets's calculate GCF of 634,3295

Greatest Common Factor (GCF) of 634,3295 By Common Division

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

Greatest Common Factor of 634,3295 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,3295 By Matching Biggest Common Factor Method

Now, list down the factors of 634

:

1,2,317,634

Now, list down the factors of 3295

:

1,5,659,3295

Greatest Common Factor

We found the factors 634,3295 . The biggest common factor number is the GCF number.
So the greatest common factor 634,3295 is 1.

Lets's calculate LCM of 768,996

Lowest Common Multiple of 768,996 using Common Division

2 768, 996
2 384, 498
3 192, 249
64, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 64 x 83 = 63744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63744

Therefore, the GCF of Fractions 634/768,3295/996 is 1/63744

Least Common Multiple of 768,996 with GCF Formula

Least Common Multiple of 768,996 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 768,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,996) = 12

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

GCF(768,996) x common factors =12 x 1 = 12

LCM(768,996) = ( 768 × 996 ) / 12

LCM(768,996) = 764928 / 12

LCM(768,996) = 63744


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FAQs on GCF of Fractions of 634/768, 3295/996

1. What is the HCF of 634,3295?

The HCF of 634,3295 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 634/768, 3295/996?

Answer: GCF of Numerators as per given numbers 634/768, 3295/996 is

GCF of Numerators i.e. for 634,3295 is 1

LCM of denominators i.e. for 768,996 is 63744.

Thus, GCF of Fractions is 1/63744.Finally, GCF of Fractions for 634/768, 3295/996 is 1/63744.