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GCF of 3901/232, 3651/835

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 3901/232, 3651/835 i.e 1/193720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3901/232, 3651/835.

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 3901/232,3651/835?

Given fractions are 3901/232,3651/835

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 3901/232,3651/835, numerators are 3901,3651

Denominators are 232,835

The GCF of 3901,3651 is 1 .

LCM of 232,835 is 193720.

The greatest common factor of 3901/232,3651/835 = [GCF of 3901,3651]/[LCM of 232,835]= 1/193720

Therefore, the GCF of 3901/232,3651/835 is 1/193720.

Greatest Common Factor of 3901,3651

To find the highest common factor of 3901,3651, we have to find the factors of both numbers and list the highest common factor.

The factors of 3901 are 1, 47, 83, 3901

The factors of 3651 are 1, 3, 1217, 3651

The HCF of 3901,3651 is 1.

Lets's calculate GCF of 3901,3651

Greatest Common Factor (GCF) of 3901,3651 By Common Division

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

Greatest Common Factor of 3901,3651 By Matching Biggest Common Factor Method

Greatest Common Factor of 3901,3651 By Matching Biggest Common Factor Method

Now, list down the factors of 3901

:

1,47,83,3901

Now, list down the factors of 3651

:

1,3,1217,3651

Greatest Common Factor

We found the factors 3901,3651 . The biggest common factor number is the GCF number.
So the greatest common factor 3901,3651 is 1.

Lets's calculate LCM of 232,835

Lowest Common Multiple of 232,835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 193720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193720

Therefore, the GCF of Fractions 3901/232,3651/835 is 1/193720

Least Common Multiple of 232,835 with GCF Formula

Least Common Multiple of 232,835 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 232,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,835) = 1

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

GCF(232,835) x common factors =1 x 1 = 1

LCM(232,835) = ( 232 × 835 ) / 1

LCM(232,835) = 193720 / 1

LCM(232,835) = 193720


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FAQs on GCF of Fractions of 3901/232, 3651/835

1. What is the HCF of 3901,3651?

The HCF of 3901,3651 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 3901/232, 3651/835?

Answer: GCF of Numerators as per given numbers 3901/232, 3651/835 is

GCF of Numerators i.e. for 3901,3651 is 1

LCM of denominators i.e. for 232,835 is 193720.

Thus, GCF of Fractions is 1/193720.Finally, GCF of Fractions for 3901/232, 3651/835 is 1/193720.