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GCF of 9128/970, 7729/8932

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 9128/970, 7729/8932 i.e 1/4332020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9128/970, 7729/8932.

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 9128/970,7729/8932?

Given fractions are 9128/970,7729/8932

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 9128/970,7729/8932, numerators are 9128,7729

Denominators are 970,8932

The GCF of 9128,7729 is 1 .

LCM of 970,8932 is 4332020.

The greatest common factor of 9128/970,7729/8932 = [GCF of 9128,7729]/[LCM of 970,8932]= 1/4332020

Therefore, the GCF of 9128/970,7729/8932 is 1/4332020.

Greatest Common Factor of 9128,7729

To find the highest common factor of 9128,7729, we have to find the factors of both numbers and list the highest common factor.

The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128

The factors of 7729 are 1, 59, 131, 7729

The HCF of 9128,7729 is 1.

Lets's calculate GCF of 9128,7729

Greatest Common Factor (GCF) of 9128,7729 By Common Division

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

Greatest Common Factor of 9128,7729 By Matching Biggest Common Factor Method

Greatest Common Factor of 9128,7729 By Matching Biggest Common Factor Method

Now, list down the factors of 9128

:

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Now, list down the factors of 7729

:

1,59,131,7729

Greatest Common Factor

We found the factors 9128,7729 . The biggest common factor number is the GCF number.
So the greatest common factor 9128,7729 is 1.


Lets's calculate LCM of 970,8932

Lowest Common Multiple of 970,8932 using Common Division

2 970, 8932
485, 4466

∴ So the LCM of the given numbers is 2 x 485 x 4466 = 4332020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4332020

Therefore, the GCF of Fractions 9128/970,7729/8932 is 1/4332020

Least Common Multiple of 970,8932 with GCF Formula

Least Common Multiple of 970,8932 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 970,8932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,8932) = 2

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

GCF(970,8932) x common factors =2 x 1 = 2

LCM(970,8932) = ( 970 × 8932 ) / 2

LCM(970,8932) = 8664040 / 2

LCM(970,8932) = 4332020


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9128/970, 7729/8932

1. What is the HCF of 9128,7729?

The HCF of 9128,7729 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 9128/970, 7729/8932?

Answer: GCF of Numerators as per given numbers 9128/970, 7729/8932 is

GCF of Numerators i.e. for 9128,7729 is 1

LCM of denominators i.e. for 970,8932 is 4332020.

Thus, GCF of Fractions is 1/4332020.Finally, GCF of Fractions for 9128/970, 7729/8932 is 1/4332020.