Greatest Common Factor of 3949/742, 6632/3758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3949/742, 6632/3758

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 3949/742,6632/3758

Given fractions are 3949/742,6632/3758

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3949,6632

Greatest Common Factor of Numerators i.e. GCF of 3949,6632 is 1 .

LCM of Denominators means LCM of 742,3758 as per the given fractions.

LCM of 742,3758 is 1394218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3949,6632

GCF of Fractions 3949/742,6632/3758 is 1/1394218

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

Greatest Common Factor of 3949,6632 By Matching Biggest Common Factor Method

Greatest Common Factor of 3949,6632 By Matching Biggest Common Factor Method

Factors of 3949

List of positive integer factors of 3949 that divides 3949 without a remainder.

1,11,359,3949

Factors of 6632

List of positive integer factors of 6632 that divides 6632 without a remainder.

1,2,4,8,829,1658,3316,6632

Greatest Common Factor

We found the factors 3949,6632 . The biggest common factor number is the GCF number.
So the greatest common factor 3949,6632 is 1.

Lets's calculate LCM of 742,3758

2 742, 3758
371, 1879

∴ So the LCM of the given numbers is 2 x 371 x 1879 = 1394218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1394218

Therefore, the GCF of Fractions 3949/742,6632/3758 is 1/1394218

Least Common Multiple of 742,3758 with GCF Formula

Least Common Multiple of 742,3758 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 742,3758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,3758) = 2

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

GCF(742,3758) x common factors =2 x 1 = 2

LCM(742,3758) = ( 742 × 3758 ) / 2

LCM(742,3758) = 2788436 / 2

LCM(742,3758) = 1394218


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3949/742, 6632/3758

1. 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.

2. What is the GCF of Fractions for 3949/742, 6632/3758?

Answer: GCF of Numerators as per given numbers 3949/742, 6632/3758 is

GCF of Numerators i.e. for 3949,6632 is 1

LCM of denominators i.e. for 742,3758 is 1394218.

Thus, GCF of Fractions is 1/1394218.Finally, GCF of Fractions for 3949/742, 6632/3758 is 1/1394218.