How to Find GCF of 9875/466, 9671/2796?

GCF of 9875/466, 9671/2796

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 9875/466, 9671/2796 i.e 1/2796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9875/466, 9671/2796.

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 9875/466,9671/2796?

Given fractions are 9875/466,9671/2796

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 9875/466,9671/2796, numerators are 9875,9671

Denominators are 466,2796

The GCF of 9875,9671 is 1 .

LCM of 466,2796 is 2796.

The greatest common factor of 9875/466,9671/2796 = [GCF of 9875,9671]/[LCM of 466,2796]= 1/2796

Therefore, the GCF of 9875/466,9671/2796 is 1/2796.

Greatest Common Factor of 9875,9671

To find the highest common factor of 9875,9671, we have to find the factors of both numbers and list the highest common factor.

The factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875

The factors of 9671 are 1, 19, 509, 9671

The HCF of 9875,9671 is 1.

Lets's calculate GCF of 9875,9671

Greatest Common Factor (GCF) of 9875,9671 By Common Division

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

Greatest Common Factor of 9875,9671 By Matching Biggest Common Factor Method

Now, list down the factors of 9875

1,5,25,79,125,395,1975,9875

Now, list down the factors of 9671

1,19,509,9671

Greatest Common Factor

We found the factors 9875,9671 . The biggest common factor number is the GCF number.
So the greatest common factor 9875,9671 is 1.

Lets's calculate LCM of 466,2796

Lowest Common Multiple of 466,2796 using Common Division

2	466, 2796
233	233, 1398
	1, 6

∴ So the LCM of the given numbers is 2 x 233 x 1 x 6 = 2796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2796

Therefore, the GCF of Fractions 9875/466,9671/2796 is 1/2796

Least Common Multiple of 466,2796 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 466,2796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,2796) = 466

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

GCF(466,2796) x common factors =466 x 1 = 466

LCM(466,2796) = ( 466 × 2796 ) / 466

LCM(466,2796) = 1302936 / 466

LCM(466,2796) = 2796

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FAQs on GCF of Fractions of 9875/466, 9671/2796

1. What is the HCF of 9875,9671?

The HCF of 9875,9671 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 9875/466, 9671/2796?

Answer: GCF of Numerators as per given numbers 9875/466, 9671/2796 is

GCF of Numerators i.e. for 9875,9671 is 1

LCM of denominators i.e. for 466,2796 is 2796.

Thus, GCF of Fractions is 1/2796.Finally, GCF of Fractions for 9875/466, 9671/2796 is 1/2796.