How to Find GCF of 9679/876, 2766/2210?

GCF of 9679/876, 2766/2210

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 9679/876, 2766/2210 i.e 1/967980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9679/876, 2766/2210.

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 9679/876,2766/2210?

Given fractions are 9679/876,2766/2210

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 9679/876,2766/2210, numerators are 9679,2766

Denominators are 876,2210

The GCF of 9679,2766 is 1 .

LCM of 876,2210 is 967980.

The greatest common factor of 9679/876,2766/2210 = [GCF of 9679,2766]/[LCM of 876,2210]= 1/967980

Therefore, the GCF of 9679/876,2766/2210 is 1/967980.

Greatest Common Factor of 9679,2766

To find the highest common factor of 9679,2766, we have to find the factors of both numbers and list the highest common factor.

The factors of 9679 are 1, 9679

The factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766

The HCF of 9679,2766 is 1.

Lets's calculate GCF of 9679,2766

Greatest Common Factor (GCF) of 9679,2766 By Common Division

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

Greatest Common Factor of 9679,2766 By Matching Biggest Common Factor Method

Now, list down the factors of 9679

1,9679

Now, list down the factors of 2766

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors 9679,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 9679,2766 is 1.

Lets's calculate LCM of 876,2210

Lowest Common Multiple of 876,2210 using Common Division

2	876, 2210
	438, 1105

∴ So the LCM of the given numbers is 2 x 438 x 1105 = 967980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/967980

Therefore, the GCF of Fractions 9679/876,2766/2210 is 1/967980

Least Common Multiple of 876,2210 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 876,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,2210) = 2

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

GCF(876,2210) x common factors =2 x 1 = 2

LCM(876,2210) = ( 876 × 2210 ) / 2

LCM(876,2210) = 1935960 / 2

LCM(876,2210) = 967980

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FAQs on GCF of Fractions of 9679/876, 2766/2210

1. What is the HCF of 9679,2766?

The HCF of 9679,2766 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 9679/876, 2766/2210?

Answer: GCF of Numerators as per given numbers 9679/876, 2766/2210 is

GCF of Numerators i.e. for 9679,2766 is 1

LCM of denominators i.e. for 876,2210 is 967980.

Thus, GCF of Fractions is 1/967980.Finally, GCF of Fractions for 9679/876, 2766/2210 is 1/967980.