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GCF of 6911/970, 3694/441

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 6911/970, 3694/441 i.e 1/427770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6911/970, 3694/441.

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 6911/970,3694/441?

Given fractions are 6911/970,3694/441

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 6911/970,3694/441, numerators are 6911,3694

Denominators are 970,441

The GCF of 6911,3694 is 1 .

LCM of 970,441 is 427770.

The greatest common factor of 6911/970,3694/441 = [GCF of 6911,3694]/[LCM of 970,441]= 1/427770

Therefore, the GCF of 6911/970,3694/441 is 1/427770.

Greatest Common Factor of 6911,3694

To find the highest common factor of 6911,3694, we have to find the factors of both numbers and list the highest common factor.

The factors of 6911 are 1, 6911

The factors of 3694 are 1, 2, 1847, 3694

The HCF of 6911,3694 is 1.

Lets's calculate GCF of 6911,3694

Greatest Common Factor (GCF) of 6911,3694 By Common Division

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

Greatest Common Factor of 6911,3694 By Matching Biggest Common Factor Method

Greatest Common Factor of 6911,3694 By Matching Biggest Common Factor Method

Now, list down the factors of 6911

:

1,6911

Now, list down the factors of 3694

:

1,2,1847,3694

Greatest Common Factor

We found the factors 6911,3694 . The biggest common factor number is the GCF number.
So the greatest common factor 6911,3694 is 1.

Lets's calculate LCM of 970,441

Lowest Common Multiple of 970,441 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 427770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427770

Therefore, the GCF of Fractions 6911/970,3694/441 is 1/427770

Least Common Multiple of 970,441 with GCF Formula

Least Common Multiple of 970,441 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 970,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,441) = 1

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

GCF(970,441) x common factors =1 x 1 = 1

LCM(970,441) = ( 970 × 441 ) / 1

LCM(970,441) = 427770 / 1

LCM(970,441) = 427770


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FAQs on GCF of Fractions of 6911/970, 3694/441

1. What is the HCF of 6911,3694?

The HCF of 6911,3694 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 6911/970, 3694/441?

Answer: GCF of Numerators as per given numbers 6911/970, 3694/441 is

GCF of Numerators i.e. for 6911,3694 is 1

LCM of denominators i.e. for 970,441 is 427770.

Thus, GCF of Fractions is 1/427770.Finally, GCF of Fractions for 6911/970, 3694/441 is 1/427770.