How to Find GCF of 3173/846, 5081/5926?

GCF of 3173/846, 5081/5926

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 3173/846, 5081/5926 i.e 1/2506698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3173/846, 5081/5926.

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 3173/846,5081/5926?

Given fractions are 3173/846,5081/5926

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 3173/846,5081/5926, numerators are 3173,5081

Denominators are 846,5926

The GCF of 3173,5081 is 1 .

LCM of 846,5926 is 2506698.

The greatest common factor of 3173/846,5081/5926 = [GCF of 3173,5081]/[LCM of 846,5926]= 1/2506698

Therefore, the GCF of 3173/846,5081/5926 is 1/2506698.

Greatest Common Factor of 3173,5081

To find the highest common factor of 3173,5081, we have to find the factors of both numbers and list the highest common factor.

The factors of 3173 are 1, 19, 167, 3173

The factors of 5081 are 1, 5081

The HCF of 3173,5081 is 1.

Lets's calculate GCF of 3173,5081

Greatest Common Factor (GCF) of 3173,5081 By Common Division

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

Greatest Common Factor of 3173,5081 By Matching Biggest Common Factor Method

Now, list down the factors of 3173

1,19,167,3173

Now, list down the factors of 5081

1,5081

Greatest Common Factor

We found the factors 3173,5081 . The biggest common factor number is the GCF number.
So the greatest common factor 3173,5081 is 1.

Lets's calculate LCM of 846,5926

Lowest Common Multiple of 846,5926 using Common Division

2	846, 5926
	423, 2963

∴ So the LCM of the given numbers is 2 x 423 x 2963 = 2506698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2506698

Therefore, the GCF of Fractions 3173/846,5081/5926 is 1/2506698

Least Common Multiple of 846,5926 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 846,5926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,5926) = 2

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

GCF(846,5926) x common factors =2 x 1 = 2

LCM(846,5926) = ( 846 × 5926 ) / 2

LCM(846,5926) = 5013396 / 2

LCM(846,5926) = 2506698

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FAQs on GCF of Fractions of 3173/846, 5081/5926

1. What is the HCF of 3173,5081?

The HCF of 3173,5081 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 3173/846, 5081/5926?

Answer: GCF of Numerators as per given numbers 3173/846, 5081/5926 is

GCF of Numerators i.e. for 3173,5081 is 1

LCM of denominators i.e. for 846,5926 is 2506698.

Thus, GCF of Fractions is 1/2506698.Finally, GCF of Fractions for 3173/846, 5081/5926 is 1/2506698.