How to Find GCF of 4961/379, 4177/1594?

GCF of 4961/379, 4177/1594

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 4961/379, 4177/1594 i.e 1/604126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4961/379, 4177/1594.

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 4961/379,4177/1594?

Given fractions are 4961/379,4177/1594

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 4961/379,4177/1594, numerators are 4961,4177

Denominators are 379,1594

The GCF of 4961,4177 is 1 .

LCM of 379,1594 is 604126.

The greatest common factor of 4961/379,4177/1594 = [GCF of 4961,4177]/[LCM of 379,1594]= 1/604126

Therefore, the GCF of 4961/379,4177/1594 is 1/604126.

Greatest Common Factor of 4961,4177

To find the highest common factor of 4961,4177, we have to find the factors of both numbers and list the highest common factor.

The factors of 4961 are 1, 11, 41, 121, 451, 4961

The factors of 4177 are 1, 4177

The HCF of 4961,4177 is 1.

Lets's calculate GCF of 4961,4177

Greatest Common Factor (GCF) of 4961,4177 By Common Division

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

Greatest Common Factor of 4961,4177 By Matching Biggest Common Factor Method

Now, list down the factors of 4961

1,11,41,121,451,4961

Now, list down the factors of 4177

1,4177

Greatest Common Factor

We found the factors 4961,4177 . The biggest common factor number is the GCF number.
So the greatest common factor 4961,4177 is 1.

Lets's calculate LCM of 379,1594

Lowest Common Multiple of 379,1594 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 604126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/604126

Therefore, the GCF of Fractions 4961/379,4177/1594 is 1/604126

Least Common Multiple of 379,1594 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 379,1594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,1594) = 1

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

GCF(379,1594) x common factors =1 x 1 = 1

LCM(379,1594) = ( 379 × 1594 ) / 1

LCM(379,1594) = 604126 / 1

LCM(379,1594) = 604126

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FAQs on GCF of Fractions of 4961/379, 4177/1594

1. What is the HCF of 4961,4177?

The HCF of 4961,4177 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 4961/379, 4177/1594?

Answer: GCF of Numerators as per given numbers 4961/379, 4177/1594 is

GCF of Numerators i.e. for 4961,4177 is 1

LCM of denominators i.e. for 379,1594 is 604126.

Thus, GCF of Fractions is 1/604126.Finally, GCF of Fractions for 4961/379, 4177/1594 is 1/604126.