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GCF of 970/595, 711/977

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 970/595, 711/977 i.e 1/581315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/595, 711/977.

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 970/595,711/977?

Given fractions are 970/595,711/977

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 970/595,711/977, numerators are 970,711

Denominators are 595,977

The GCF of 970,711 is 1 .

LCM of 595,977 is 581315.

The greatest common factor of 970/595,711/977 = [GCF of 970,711]/[LCM of 595,977]= 1/581315

Therefore, the GCF of 970/595,711/977 is 1/581315.

Greatest Common Factor of 970,711

To find the highest common factor of 970,711, we have to find the factors of both numbers and list the highest common factor.

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970

The factors of 711 are 1, 3, 9, 79, 237, 711

The HCF of 970,711 is 1.

Lets's calculate GCF of 970,711

Greatest Common Factor (GCF) of 970,711 By Common Division

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

Greatest Common Factor of 970,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,711 By Matching Biggest Common Factor Method

Now, list down the factors of 970

:

1,2,5,10,97,194,485,970

Now, list down the factors of 711

:

1,3,9,79,237,711

Greatest Common Factor

We found the factors 970,711 . The biggest common factor number is the GCF number.
So the greatest common factor 970,711 is 1.

Lets's calculate LCM of 595,977

Lowest Common Multiple of 595,977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 581315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/581315

Therefore, the GCF of Fractions 970/595,711/977 is 1/581315

Least Common Multiple of 595,977 with GCF Formula

Least Common Multiple of 595,977 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 595,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,977) = 1

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

GCF(595,977) x common factors =1 x 1 = 1

LCM(595,977) = ( 595 × 977 ) / 1

LCM(595,977) = 581315 / 1

LCM(595,977) = 581315


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FAQs on GCF of Fractions of 970/595, 711/977

1. What is the HCF of 970,711?

The HCF of 970,711 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 970/595, 711/977?

Answer: GCF of Numerators as per given numbers 970/595, 711/977 is

GCF of Numerators i.e. for 970,711 is 1

LCM of denominators i.e. for 595,977 is 581315.

Thus, GCF of Fractions is 1/581315.Finally, GCF of Fractions for 970/595, 711/977 is 1/581315.