How to Find GCF of 2705/274, 8979/1889?

GCF of 2705/274, 8979/1889

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 2705/274, 8979/1889 i.e 1/517586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2705/274, 8979/1889.

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 2705/274,8979/1889?

Given fractions are 2705/274,8979/1889

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 2705/274,8979/1889, numerators are 2705,8979

Denominators are 274,1889

The GCF of 2705,8979 is 1 .

LCM of 274,1889 is 517586.

The greatest common factor of 2705/274,8979/1889 = [GCF of 2705,8979]/[LCM of 274,1889]= 1/517586

Therefore, the GCF of 2705/274,8979/1889 is 1/517586.

Greatest Common Factor of 2705,8979

To find the highest common factor of 2705,8979, we have to find the factors of both numbers and list the highest common factor.

The factors of 2705 are 1, 5, 541, 2705

The factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979

The HCF of 2705,8979 is 1.

Lets's calculate GCF of 2705,8979

Greatest Common Factor (GCF) of 2705,8979 By Common Division

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

Greatest Common Factor of 2705,8979 By Matching Biggest Common Factor Method

Now, list down the factors of 2705

1,5,541,2705

Now, list down the factors of 8979

1,3,41,73,123,219,2993,8979

Greatest Common Factor

We found the factors 2705,8979 . The biggest common factor number is the GCF number.
So the greatest common factor 2705,8979 is 1.

Lets's calculate LCM of 274,1889

Lowest Common Multiple of 274,1889 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 517586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517586

Therefore, the GCF of Fractions 2705/274,8979/1889 is 1/517586

Least Common Multiple of 274,1889 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 274,1889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,1889) = 1

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

GCF(274,1889) x common factors =1 x 1 = 1

LCM(274,1889) = ( 274 × 1889 ) / 1

LCM(274,1889) = 517586 / 1

LCM(274,1889) = 517586

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FAQs on GCF of Fractions of 2705/274, 8979/1889

1. What is the HCF of 2705,8979?

The HCF of 2705,8979 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 2705/274, 8979/1889?

Answer: GCF of Numerators as per given numbers 2705/274, 8979/1889 is

GCF of Numerators i.e. for 2705,8979 is 1

LCM of denominators i.e. for 274,1889 is 517586.

Thus, GCF of Fractions is 1/517586.Finally, GCF of Fractions for 2705/274, 8979/1889 is 1/517586.