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GCF of 6827/634, 7187/870

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 6827/634, 7187/870 i.e 1/275790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6827/634, 7187/870.

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 6827/634,7187/870?

Given fractions are 6827/634,7187/870

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 6827/634,7187/870, numerators are 6827,7187

Denominators are 634,870

The GCF of 6827,7187 is 1 .

LCM of 634,870 is 275790.

The greatest common factor of 6827/634,7187/870 = [GCF of 6827,7187]/[LCM of 634,870]= 1/275790

Therefore, the GCF of 6827/634,7187/870 is 1/275790.

Greatest Common Factor of 6827,7187

To find the highest common factor of 6827,7187, we have to find the factors of both numbers and list the highest common factor.

The factors of 6827 are 1, 6827

The factors of 7187 are 1, 7187

The HCF of 6827,7187 is 1.

Lets's calculate GCF of 6827,7187

Greatest Common Factor (GCF) of 6827,7187 By Common Division

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

Greatest Common Factor of 6827,7187 By Matching Biggest Common Factor Method

Greatest Common Factor of 6827,7187 By Matching Biggest Common Factor Method

Now, list down the factors of 6827

:

1,6827

Now, list down the factors of 7187

:

1,7187

Greatest Common Factor

We found the factors 6827,7187 . The biggest common factor number is the GCF number.
So the greatest common factor 6827,7187 is 1.

Lets's calculate LCM of 634,870

Lowest Common Multiple of 634,870 using Common Division

2 634, 870
317, 435

∴ So the LCM of the given numbers is 2 x 317 x 435 = 275790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275790

Therefore, the GCF of Fractions 6827/634,7187/870 is 1/275790

Least Common Multiple of 634,870 with GCF Formula

Least Common Multiple of 634,870 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 634,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,870) = 2

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

GCF(634,870) x common factors =2 x 1 = 2

LCM(634,870) = ( 634 × 870 ) / 2

LCM(634,870) = 551580 / 2

LCM(634,870) = 275790


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FAQs on GCF of Fractions of 6827/634, 7187/870

1. What is the HCF of 6827,7187?

The HCF of 6827,7187 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 6827/634, 7187/870?

Answer: GCF of Numerators as per given numbers 6827/634, 7187/870 is

GCF of Numerators i.e. for 6827,7187 is 1

LCM of denominators i.e. for 634,870 is 275790.

Thus, GCF of Fractions is 1/275790.Finally, GCF of Fractions for 6827/634, 7187/870 is 1/275790.