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GCF of 3913/251, 4601/1962

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 3913/251, 4601/1962 i.e 43/492462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3913/251, 4601/1962.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3913/251,4601/1962?

Given fractions are 3913/251,4601/1962

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 3913/251,4601/1962, numerators are 3913,4601

Denominators are 251,1962

The GCF of 3913,4601 is 43 .

LCM of 251,1962 is 492462.

The greatest common factor of 3913/251,4601/1962 = [GCF of 3913,4601]/[LCM of 251,1962]= 43/492462

Therefore, the GCF of 3913/251,4601/1962 is 43/492462.

Greatest Common Factor of 3913,4601

To find the highest common factor of 3913,4601, we have to find the factors of both numbers and list the highest common factor.

The factors of 3913 are 1, 7, 13, 43, 91, 301, 559, 3913

The factors of 4601 are 1, 43, 107, 4601

The HCF of 3913,4601 is 43.

Lets's calculate GCF of 3913,4601

Greatest Common Factor (GCF) of 3913,4601 By Common Division

43 3913, 4601
91, 107

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 3913,4601 By Matching Biggest Common Factor Method

Greatest Common Factor of 3913,4601 By Matching Biggest Common Factor Method

Now, list down the factors of 3913

:

1,7,13,43,91,301,559,3913

Now, list down the factors of 4601

:

1,43,107,4601

Greatest Common Factor

We found the factors 3913,4601 . The biggest common factor number is the GCF number.
So the greatest common factor 3913,4601 is 43.


Lets's calculate LCM of 251,1962

Lowest Common Multiple of 251,1962 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 492462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/492462

Therefore, the GCF of Fractions 3913/251,4601/1962 is 43/492462

Least Common Multiple of 251,1962 with GCF Formula

Least Common Multiple of 251,1962 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 251,1962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,1962) = 1

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

GCF(251,1962) x common factors =1 x 1 = 1

LCM(251,1962) = ( 251 × 1962 ) / 1

LCM(251,1962) = 492462 / 1

LCM(251,1962) = 492462


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3913/251, 4601/1962

1. What is the HCF of 3913,4601?

The HCF of 3913,4601 is 43

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 3913/251, 4601/1962?

Answer: GCF of Numerators as per given numbers 3913/251, 4601/1962 is

GCF of Numerators i.e. for 3913,4601 is 43

LCM of denominators i.e. for 251,1962 is 492462.

Thus, GCF of Fractions is 43/492462.Finally, GCF of Fractions for 3913/251, 4601/1962 is 43/492462.