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GCF of 795/237, 9123/8564

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 795/237, 9123/8564 i.e 3/2029668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/237, 9123/8564.

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 795/237,9123/8564?

Given fractions are 795/237,9123/8564

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 795/237,9123/8564, numerators are 795,9123

Denominators are 237,8564

The GCF of 795,9123 is 3 .

LCM of 237,8564 is 2029668.

The greatest common factor of 795/237,9123/8564 = [GCF of 795,9123]/[LCM of 237,8564]= 3/2029668

Therefore, the GCF of 795/237,9123/8564 is 3/2029668.

Greatest Common Factor of 795,9123

To find the highest common factor of 795,9123, we have to find the factors of both numbers and list the highest common factor.

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795

The factors of 9123 are 1, 3, 3041, 9123

The HCF of 795,9123 is 3.

Lets's calculate GCF of 795,9123

Greatest Common Factor (GCF) of 795,9123 By Common Division

3 795, 9123
265, 3041

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 795,9123 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,9123 By Matching Biggest Common Factor Method

Now, list down the factors of 795

:

1,3,5,15,53,159,265,795

Now, list down the factors of 9123

:

1,3,3041,9123

Greatest Common Factor

We found the factors 795,9123 . The biggest common factor number is the GCF number.
So the greatest common factor 795,9123 is 3.

Lets's calculate LCM of 237,8564

Lowest Common Multiple of 237,8564 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2029668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2029668

Therefore, the GCF of Fractions 795/237,9123/8564 is 3/2029668

Least Common Multiple of 237,8564 with GCF Formula

Least Common Multiple of 237,8564 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 237,8564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,8564) = 1

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

GCF(237,8564) x common factors =1 x 1 = 1

LCM(237,8564) = ( 237 × 8564 ) / 1

LCM(237,8564) = 2029668 / 1

LCM(237,8564) = 2029668


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FAQs on GCF of Fractions of 795/237, 9123/8564

1. What is the HCF of 795,9123?

The HCF of 795,9123 is 3

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 795/237, 9123/8564?

Answer: GCF of Numerators as per given numbers 795/237, 9123/8564 is

GCF of Numerators i.e. for 795,9123 is 3

LCM of denominators i.e. for 237,8564 is 2029668.

Thus, GCF of Fractions is 3/2029668.Finally, GCF of Fractions for 795/237, 9123/8564 is 3/2029668.