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GCF of 1187/586, 8121/7700

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 1187/586, 8121/7700 i.e 1/2256100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1187/586, 8121/7700.

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 1187/586,8121/7700?

Given fractions are 1187/586,8121/7700

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 1187/586,8121/7700, numerators are 1187,8121

Denominators are 586,7700

The GCF of 1187,8121 is 1 .

LCM of 586,7700 is 2256100.

The greatest common factor of 1187/586,8121/7700 = [GCF of 1187,8121]/[LCM of 586,7700]= 1/2256100

Therefore, the GCF of 1187/586,8121/7700 is 1/2256100.

Greatest Common Factor of 1187,8121

To find the highest common factor of 1187,8121, we have to find the factors of both numbers and list the highest common factor.

The factors of 1187 are 1, 1187

The factors of 8121 are 1, 3, 2707, 8121

The HCF of 1187,8121 is 1.

Lets's calculate GCF of 1187,8121

Greatest Common Factor (GCF) of 1187,8121 By Common Division

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

Greatest Common Factor of 1187,8121 By Matching Biggest Common Factor Method

Greatest Common Factor of 1187,8121 By Matching Biggest Common Factor Method

Now, list down the factors of 1187

:

1,1187

Now, list down the factors of 8121

:

1,3,2707,8121

Greatest Common Factor

We found the factors 1187,8121 . The biggest common factor number is the GCF number.
So the greatest common factor 1187,8121 is 1.

Lets's calculate LCM of 586,7700

Lowest Common Multiple of 586,7700 using Common Division

2 586, 7700
293, 3850

∴ So the LCM of the given numbers is 2 x 293 x 3850 = 2256100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2256100

Therefore, the GCF of Fractions 1187/586,8121/7700 is 1/2256100

Least Common Multiple of 586,7700 with GCF Formula

Least Common Multiple of 586,7700 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 586,7700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,7700) = 2

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

GCF(586,7700) x common factors =2 x 1 = 2

LCM(586,7700) = ( 586 × 7700 ) / 2

LCM(586,7700) = 4512200 / 2

LCM(586,7700) = 2256100


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FAQs on GCF of Fractions of 1187/586, 8121/7700

1. What is the HCF of 1187,8121?

The HCF of 1187,8121 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 1187/586, 8121/7700?

Answer: GCF of Numerators as per given numbers 1187/586, 8121/7700 is

GCF of Numerators i.e. for 1187,8121 is 1

LCM of denominators i.e. for 586,7700 is 2256100.

Thus, GCF of Fractions is 1/2256100.Finally, GCF of Fractions for 1187/586, 8121/7700 is 1/2256100.