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GCF of 992/325, 7027/710

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 992/325, 7027/710 i.e 1/46150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 992/325, 7027/710.

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 992/325,7027/710?

Given fractions are 992/325,7027/710

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 992/325,7027/710, numerators are 992,7027

Denominators are 325,710

The GCF of 992,7027 is 1 .

LCM of 325,710 is 46150.

The greatest common factor of 992/325,7027/710 = [GCF of 992,7027]/[LCM of 325,710]= 1/46150

Therefore, the GCF of 992/325,7027/710 is 1/46150.

Greatest Common Factor of 992,7027

To find the highest common factor of 992,7027, we have to find the factors of both numbers and list the highest common factor.

The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

The factors of 7027 are 1, 7027

The HCF of 992,7027 is 1.

Lets's calculate GCF of 992,7027

Greatest Common Factor (GCF) of 992,7027 By Common Division

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

Greatest Common Factor of 992,7027 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,7027 By Matching Biggest Common Factor Method

Now, list down the factors of 992

:

1,2,4,8,16,31,32,62,124,248,496,992

Now, list down the factors of 7027

:

1,7027

Greatest Common Factor

We found the factors 992,7027 . The biggest common factor number is the GCF number.
So the greatest common factor 992,7027 is 1.

Lets's calculate LCM of 325,710

Lowest Common Multiple of 325,710 using Common Division

5 325, 710
65, 142

∴ So the LCM of the given numbers is 5 x 65 x 142 = 46150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46150

Therefore, the GCF of Fractions 992/325,7027/710 is 1/46150

Least Common Multiple of 325,710 with GCF Formula

Least Common Multiple of 325,710 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 325,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,710) = 5

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

GCF(325,710) x common factors =5 x 1 = 5

LCM(325,710) = ( 325 × 710 ) / 5

LCM(325,710) = 230750 / 5

LCM(325,710) = 46150


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FAQs on GCF of Fractions of 992/325, 7027/710

1. What is the HCF of 992,7027?

The HCF of 992,7027 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 992/325, 7027/710?

Answer: GCF of Numerators as per given numbers 992/325, 7027/710 is

GCF of Numerators i.e. for 992,7027 is 1

LCM of denominators i.e. for 325,710 is 46150.

Thus, GCF of Fractions is 1/46150.Finally, GCF of Fractions for 992/325, 7027/710 is 1/46150.