How to Find GCF of 2746/973, 9116/1406?

GCF of 2746/973, 9116/1406

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 2746/973, 9116/1406 i.e 2/1368038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2746/973, 9116/1406.

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 2746/973,9116/1406?

Given fractions are 2746/973,9116/1406

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 2746/973,9116/1406, numerators are 2746,9116

Denominators are 973,1406

The GCF of 2746,9116 is 2 .

LCM of 973,1406 is 1368038.

The greatest common factor of 2746/973,9116/1406 = [GCF of 2746,9116]/[LCM of 973,1406]= 2/1368038

Therefore, the GCF of 2746/973,9116/1406 is 2/1368038.

Greatest Common Factor of 2746,9116

To find the highest common factor of 2746,9116, we have to find the factors of both numbers and list the highest common factor.

The factors of 2746 are 1, 2, 1373, 2746

The factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116

The HCF of 2746,9116 is 2.

Lets's calculate GCF of 2746,9116

Greatest Common Factor (GCF) of 2746,9116 By Common Division

2	2746, 9116
	1373, 4558

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2746,9116 By Matching Biggest Common Factor Method

Now, list down the factors of 2746

1,2,1373,2746

Now, list down the factors of 9116

1,2,4,43,53,86,106,172,212,2279,4558,9116

Greatest Common Factor

We found the factors 2746,9116 . The biggest common factor number is the GCF number.
So the greatest common factor 2746,9116 is 2.

Lets's calculate LCM of 973,1406

Lowest Common Multiple of 973,1406 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1368038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1368038

Therefore, the GCF of Fractions 2746/973,9116/1406 is 2/1368038

Least Common Multiple of 973,1406 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 973,1406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,1406) = 1

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

GCF(973,1406) x common factors =1 x 1 = 1

LCM(973,1406) = ( 973 × 1406 ) / 1

LCM(973,1406) = 1368038 / 1

LCM(973,1406) = 1368038

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2746/973, 9116/1406

1. What is the HCF of 2746,9116?

The HCF of 2746,9116 is 2

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 2746/973, 9116/1406?

Answer: GCF of Numerators as per given numbers 2746/973, 9116/1406 is

GCF of Numerators i.e. for 2746,9116 is 2

LCM of denominators i.e. for 973,1406 is 1368038.

Thus, GCF of Fractions is 2/1368038.Finally, GCF of Fractions for 2746/973, 9116/1406 is 2/1368038.