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GCF of 716/170, 971/685

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 716/170, 971/685 i.e 1/23290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/170, 971/685.

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 716/170,971/685?

Given fractions are 716/170,971/685

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 716/170,971/685, numerators are 716,971

Denominators are 170,685

The GCF of 716,971 is 1 .

LCM of 170,685 is 23290.

The greatest common factor of 716/170,971/685 = [GCF of 716,971]/[LCM of 170,685]= 1/23290

Therefore, the GCF of 716/170,971/685 is 1/23290.

Greatest Common Factor of 716,971

To find the highest common factor of 716,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 716 are 1, 2, 4, 179, 358, 716

The factors of 971 are 1, 971

The HCF of 716,971 is 1.

Lets's calculate GCF of 716,971

Greatest Common Factor (GCF) of 716,971 By Common Division

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

Greatest Common Factor of 716,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,971 By Matching Biggest Common Factor Method

Now, list down the factors of 716

:

1,2,4,179,358,716

Now, list down the factors of 971

:

1,971

Greatest Common Factor

We found the factors 716,971 . The biggest common factor number is the GCF number.
So the greatest common factor 716,971 is 1.

Lets's calculate LCM of 170,685

Lowest Common Multiple of 170,685 using Common Division

5 170, 685
34, 137

∴ So the LCM of the given numbers is 5 x 34 x 137 = 23290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23290

Therefore, the GCF of Fractions 716/170,971/685 is 1/23290

Least Common Multiple of 170,685 with GCF Formula

Least Common Multiple of 170,685 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 170,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,685) = 5

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

GCF(170,685) x common factors =5 x 1 = 5

LCM(170,685) = ( 170 × 685 ) / 5

LCM(170,685) = 116450 / 5

LCM(170,685) = 23290


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FAQs on GCF of Fractions of 716/170, 971/685

1. What is the HCF of 716,971?

The HCF of 716,971 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 716/170, 971/685?

Answer: GCF of Numerators as per given numbers 716/170, 971/685 is

GCF of Numerators i.e. for 716,971 is 1

LCM of denominators i.e. for 170,685 is 23290.

Thus, GCF of Fractions is 1/23290.Finally, GCF of Fractions for 716/170, 971/685 is 1/23290.