How to Find GCF of 1877/517, 8703/8272?

GCF of 1877/517, 8703/8272

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 1877/517, 8703/8272 i.e 1/8272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1877/517, 8703/8272.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1877/517,8703/8272?

Given fractions are 1877/517,8703/8272

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 1877/517,8703/8272, numerators are 1877,8703

Denominators are 517,8272

The GCF of 1877,8703 is 1 .

LCM of 517,8272 is 8272.

The greatest common factor of 1877/517,8703/8272 = [GCF of 1877,8703]/[LCM of 517,8272]= 1/8272

Therefore, the GCF of 1877/517,8703/8272 is 1/8272.

Greatest Common Factor of 1877,8703

To find the highest common factor of 1877,8703, we have to find the factors of both numbers and list the highest common factor.

The factors of 1877 are 1, 1877

The factors of 8703 are 1, 3, 9, 967, 2901, 8703

The HCF of 1877,8703 is 1.

Lets's calculate GCF of 1877,8703

Greatest Common Factor (GCF) of 1877,8703 By Common Division

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

Greatest Common Factor of 1877,8703 By Matching Biggest Common Factor Method

Now, list down the factors of 1877

1,1877

Now, list down the factors of 8703

1,3,9,967,2901,8703

Greatest Common Factor

We found the factors 1877,8703 . The biggest common factor number is the GCF number.
So the greatest common factor 1877,8703 is 1.

Lets's calculate LCM of 517,8272

Lowest Common Multiple of 517,8272 using Common Division

11	517, 8272
47	47, 752
	1, 16

∴ So the LCM of the given numbers is 11 x 47 x 1 x 16 = 8272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8272

Therefore, the GCF of Fractions 1877/517,8703/8272 is 1/8272

Least Common Multiple of 517,8272 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 517,8272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,8272) = 517

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

GCF(517,8272) x common factors =517 x 1 = 517

LCM(517,8272) = ( 517 × 8272 ) / 517

LCM(517,8272) = 4276624 / 517

LCM(517,8272) = 8272

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FAQs on GCF of Fractions of 1877/517, 8703/8272

1. What is the HCF of 1877,8703?

The HCF of 1877,8703 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 1877/517, 8703/8272?

Answer: GCF of Numerators as per given numbers 1877/517, 8703/8272 is

GCF of Numerators i.e. for 1877,8703 is 1

LCM of denominators i.e. for 517,8272 is 8272.

Thus, GCF of Fractions is 1/8272.Finally, GCF of Fractions for 1877/517, 8703/8272 is 1/8272.