How to Find GCF of 7151/844, 2506/708?

GCF of 7151/844, 2506/708

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 7151/844, 2506/708 i.e 1/149388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7151/844, 2506/708.

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 7151/844,2506/708?

Given fractions are 7151/844,2506/708

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 7151/844,2506/708, numerators are 7151,2506

Denominators are 844,708

The GCF of 7151,2506 is 1 .

LCM of 844,708 is 149388.

The greatest common factor of 7151/844,2506/708 = [GCF of 7151,2506]/[LCM of 844,708]= 1/149388

Therefore, the GCF of 7151/844,2506/708 is 1/149388.

Greatest Common Factor of 7151,2506

To find the highest common factor of 7151,2506, we have to find the factors of both numbers and list the highest common factor.

The factors of 7151 are 1, 7151

The factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506

The HCF of 7151,2506 is 1.

Lets's calculate GCF of 7151,2506

Greatest Common Factor (GCF) of 7151,2506 By Common Division

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

Greatest Common Factor of 7151,2506 By Matching Biggest Common Factor Method

Now, list down the factors of 7151

1,7151

Now, list down the factors of 2506

1,2,7,14,179,358,1253,2506

Greatest Common Factor

We found the factors 7151,2506 . The biggest common factor number is the GCF number.
So the greatest common factor 7151,2506 is 1.

Lets's calculate LCM of 844,708

Lowest Common Multiple of 844,708 using Common Division

2	844, 708
2	422, 354
	211, 177

∴ So the LCM of the given numbers is 2 x 2 x 211 x 177 = 149388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149388

Therefore, the GCF of Fractions 7151/844,2506/708 is 1/149388

Least Common Multiple of 844,708 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 844,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,708) = 4

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

GCF(844,708) x common factors =4 x 1 = 4

LCM(844,708) = ( 844 × 708 ) / 4

LCM(844,708) = 597552 / 4

LCM(844,708) = 149388

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FAQs on GCF of Fractions of 7151/844, 2506/708

1. What is the HCF of 7151,2506?

The HCF of 7151,2506 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 7151/844, 2506/708?

Answer: GCF of Numerators as per given numbers 7151/844, 2506/708 is

GCF of Numerators i.e. for 7151,2506 is 1

LCM of denominators i.e. for 844,708 is 149388.

Thus, GCF of Fractions is 1/149388.Finally, GCF of Fractions for 7151/844, 2506/708 is 1/149388.