How to Find GCF of 2494/871, 7154/793?

GCF of 2494/871, 7154/793

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 2494/871, 7154/793 i.e 2/53131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2494/871, 7154/793.

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 2494/871,7154/793?

Given fractions are 2494/871,7154/793

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 2494/871,7154/793, numerators are 2494,7154

Denominators are 871,793

The GCF of 2494,7154 is 2 .

LCM of 871,793 is 53131.

The greatest common factor of 2494/871,7154/793 = [GCF of 2494,7154]/[LCM of 871,793]= 2/53131

Therefore, the GCF of 2494/871,7154/793 is 2/53131.

Greatest Common Factor of 2494,7154

To find the highest common factor of 2494,7154, we have to find the factors of both numbers and list the highest common factor.

The factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494

The factors of 7154 are 1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154

The HCF of 2494,7154 is 2.

Lets's calculate GCF of 2494,7154

Greatest Common Factor (GCF) of 2494,7154 By Common Division

2	2494, 7154
	1247, 3577

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

Greatest Common Factor of 2494,7154 By Matching Biggest Common Factor Method

Now, list down the factors of 2494

1,2,29,43,58,86,1247,2494

Now, list down the factors of 7154

1,2,7,14,49,73,98,146,511,1022,3577,7154

Greatest Common Factor

We found the factors 2494,7154 . The biggest common factor number is the GCF number.
So the greatest common factor 2494,7154 is 2.

Lets's calculate LCM of 871,793

Lowest Common Multiple of 871,793 using Common Division

13	871, 793
	67, 61

∴ So the LCM of the given numbers is 13 x 67 x 61 = 53131

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53131

Therefore, the GCF of Fractions 2494/871,7154/793 is 2/53131

Least Common Multiple of 871,793 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 871,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,793) = 13

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

GCF(871,793) x common factors =13 x 1 = 13

LCM(871,793) = ( 871 × 793 ) / 13

LCM(871,793) = 690703 / 13

LCM(871,793) = 53131

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FAQs on GCF of Fractions of 2494/871, 7154/793

1. What is the HCF of 2494,7154?

The HCF of 2494,7154 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 2494/871, 7154/793?

Answer: GCF of Numerators as per given numbers 2494/871, 7154/793 is

GCF of Numerators i.e. for 2494,7154 is 2

LCM of denominators i.e. for 871,793 is 53131.

Thus, GCF of Fractions is 2/53131.Finally, GCF of Fractions for 2494/871, 7154/793 is 2/53131.