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GCF of 726/937, 370/827

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 726/937, 370/827 i.e 2/774899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 726/937, 370/827.

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 726/937,370/827?

Given fractions are 726/937,370/827

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 726/937,370/827, numerators are 726,370

Denominators are 937,827

The GCF of 726,370 is 2 .

LCM of 937,827 is 774899.

The greatest common factor of 726/937,370/827 = [GCF of 726,370]/[LCM of 937,827]= 2/774899

Therefore, the GCF of 726/937,370/827 is 2/774899.

Greatest Common Factor of 726,370

To find the highest common factor of 726,370, we have to find the factors of both numbers and list the highest common factor.

The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370

The HCF of 726,370 is 2.

Lets's calculate GCF of 726,370

Greatest Common Factor (GCF) of 726,370 By Common Division

2 726, 370
363, 185

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 726,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,370 By Matching Biggest Common Factor Method

Now, list down the factors of 726

:

1,2,3,6,11,22,33,66,121,242,363,726

Now, list down the factors of 370

:

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 726,370 . The biggest common factor number is the GCF number.
So the greatest common factor 726,370 is 2.

Lets's calculate LCM of 937,827

Lowest Common Multiple of 937,827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 774899

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/774899

Therefore, the GCF of Fractions 726/937,370/827 is 2/774899

Least Common Multiple of 937,827 with GCF Formula

Least Common Multiple of 937,827 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 937,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,827) = 1

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

GCF(937,827) x common factors =1 x 1 = 1

LCM(937,827) = ( 937 × 827 ) / 1

LCM(937,827) = 774899 / 1

LCM(937,827) = 774899


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FAQs on GCF of Fractions of 726/937, 370/827

1. What is the HCF of 726,370?

The HCF of 726,370 is 2

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 726/937, 370/827?

Answer: GCF of Numerators as per given numbers 726/937, 370/827 is

GCF of Numerators i.e. for 726,370 is 2

LCM of denominators i.e. for 937,827 is 774899.

Thus, GCF of Fractions is 2/774899.Finally, GCF of Fractions for 726/937, 370/827 is 2/774899.