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GCF of 775/79, 500/9122

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 775/79, 500/9122 i.e 25/720638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 775/79, 500/9122.

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 775/79,500/9122?

Given fractions are 775/79,500/9122

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 775/79,500/9122, numerators are 775,500

Denominators are 79,9122

The GCF of 775,500 is 25 .

LCM of 79,9122 is 720638.

The greatest common factor of 775/79,500/9122 = [GCF of 775,500]/[LCM of 79,9122]= 25/720638

Therefore, the GCF of 775/79,500/9122 is 25/720638.

Greatest Common Factor of 775,500

To find the highest common factor of 775,500, we have to find the factors of both numbers and list the highest common factor.

The factors of 775 are 1, 5, 25, 31, 155, 775

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The HCF of 775,500 is 25.

Lets's calculate GCF of 775,500

Greatest Common Factor (GCF) of 775,500 By Common Division

5 775, 500
5 155, 100
31, 20

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 775,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,500 By Matching Biggest Common Factor Method

Now, list down the factors of 775

:

1,5,25,31,155,775

Now, list down the factors of 500

:

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 775,500 . The biggest common factor number is the GCF number.
So the greatest common factor 775,500 is 25.

Lets's calculate LCM of 79,9122

Lowest Common Multiple of 79,9122 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 720638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/720638

Therefore, the GCF of Fractions 775/79,500/9122 is 25/720638

Least Common Multiple of 79,9122 with GCF Formula

Least Common Multiple of 79,9122 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 79,9122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,9122) = 1

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

GCF(79,9122) x common factors =1 x 1 = 1

LCM(79,9122) = ( 79 × 9122 ) / 1

LCM(79,9122) = 720638 / 1

LCM(79,9122) = 720638


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 775/79, 500/9122

1. What is the HCF of 775,500?

The HCF of 775,500 is 25

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 775/79, 500/9122?

Answer: GCF of Numerators as per given numbers 775/79, 500/9122 is

GCF of Numerators i.e. for 775,500 is 25

LCM of denominators i.e. for 79,9122 is 720638.

Thus, GCF of Fractions is 25/720638.Finally, GCF of Fractions for 775/79, 500/9122 is 25/720638.