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GCF of 634/386, 503/790

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 634/386, 503/790 i.e 1/152470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 634/386, 503/790.

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 634/386,503/790?

Given fractions are 634/386,503/790

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 634/386,503/790, numerators are 634,503

Denominators are 386,790

The GCF of 634,503 is 1 .

LCM of 386,790 is 152470.

The greatest common factor of 634/386,503/790 = [GCF of 634,503]/[LCM of 386,790]= 1/152470

Therefore, the GCF of 634/386,503/790 is 1/152470.

Greatest Common Factor of 634,503

To find the highest common factor of 634,503, 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 503 are 1, 503

The HCF of 634,503 is 1.

Lets's calculate GCF of 634,503

Greatest Common Factor (GCF) of 634,503 By Common Division

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

Greatest Common Factor of 634,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,503 By Matching Biggest Common Factor Method

Now, list down the factors of 634

:

1,2,317,634

Now, list down the factors of 503

:

1,503

Greatest Common Factor

We found the factors 634,503 . The biggest common factor number is the GCF number.
So the greatest common factor 634,503 is 1.

Lets's calculate LCM of 386,790

Lowest Common Multiple of 386,790 using Common Division

2 386, 790
193, 395

∴ So the LCM of the given numbers is 2 x 193 x 395 = 152470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152470

Therefore, the GCF of Fractions 634/386,503/790 is 1/152470

Least Common Multiple of 386,790 with GCF Formula

Least Common Multiple of 386,790 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 386,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,790) = 2

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

GCF(386,790) x common factors =2 x 1 = 2

LCM(386,790) = ( 386 × 790 ) / 2

LCM(386,790) = 304940 / 2

LCM(386,790) = 152470


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FAQs on GCF of Fractions of 634/386, 503/790

1. What is the HCF of 634,503?

The HCF of 634,503 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 634/386, 503/790?

Answer: GCF of Numerators as per given numbers 634/386, 503/790 is

GCF of Numerators i.e. for 634,503 is 1

LCM of denominators i.e. for 386,790 is 152470.

Thus, GCF of Fractions is 1/152470.Finally, GCF of Fractions for 634/386, 503/790 is 1/152470.