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GCF of 8963/270, 2062/9508

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 8963/270, 2062/9508 i.e 1/1283580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8963/270, 2062/9508.

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 8963/270,2062/9508?

Given fractions are 8963/270,2062/9508

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 8963/270,2062/9508, numerators are 8963,2062

Denominators are 270,9508

The GCF of 8963,2062 is 1 .

LCM of 270,9508 is 1283580.

The greatest common factor of 8963/270,2062/9508 = [GCF of 8963,2062]/[LCM of 270,9508]= 1/1283580

Therefore, the GCF of 8963/270,2062/9508 is 1/1283580.

Greatest Common Factor of 8963,2062

To find the highest common factor of 8963,2062, we have to find the factors of both numbers and list the highest common factor.

The factors of 8963 are 1, 8963

The factors of 2062 are 1, 2, 1031, 2062

The HCF of 8963,2062 is 1.

Lets's calculate GCF of 8963,2062

Greatest Common Factor (GCF) of 8963,2062 By Common Division

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

Greatest Common Factor of 8963,2062 By Matching Biggest Common Factor Method

Greatest Common Factor of 8963,2062 By Matching Biggest Common Factor Method

Now, list down the factors of 8963

:

1,8963

Now, list down the factors of 2062

:

1,2,1031,2062

Greatest Common Factor

We found the factors 8963,2062 . The biggest common factor number is the GCF number.
So the greatest common factor 8963,2062 is 1.

Lets's calculate LCM of 270,9508

Lowest Common Multiple of 270,9508 using Common Division

2 270, 9508
135, 4754

∴ So the LCM of the given numbers is 2 x 135 x 4754 = 1283580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1283580

Therefore, the GCF of Fractions 8963/270,2062/9508 is 1/1283580

Least Common Multiple of 270,9508 with GCF Formula

Least Common Multiple of 270,9508 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 270,9508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,9508) = 2

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

GCF(270,9508) x common factors =2 x 1 = 2

LCM(270,9508) = ( 270 × 9508 ) / 2

LCM(270,9508) = 2567160 / 2

LCM(270,9508) = 1283580


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FAQs on GCF of Fractions of 8963/270, 2062/9508

1. What is the HCF of 8963,2062?

The HCF of 8963,2062 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 8963/270, 2062/9508?

Answer: GCF of Numerators as per given numbers 8963/270, 2062/9508 is

GCF of Numerators i.e. for 8963,2062 is 1

LCM of denominators i.e. for 270,9508 is 1283580.

Thus, GCF of Fractions is 1/1283580.Finally, GCF of Fractions for 8963/270, 2062/9508 is 1/1283580.