Greatest Common Factor of 3754/242, 4691/3750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3754/242, 4691/3750

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 3754/242,4691/3750

Given fractions are 3754/242,4691/3750

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 3754,4691

Greatest Common Factor of Numerators i.e. GCF of 3754,4691 is 1 .

LCM of Denominators means LCM of 242,3750 as per the given fractions.

LCM of 242,3750 is 453750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3754,4691

GCF of Fractions 3754/242,4691/3750 is 1/453750

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

Greatest Common Factor of 3754,4691 By Matching Biggest Common Factor Method

Greatest Common Factor of 3754,4691 By Matching Biggest Common Factor Method

Factors of 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1,2,1877,3754

Factors of 4691

List of positive integer factors of 4691 that divides 4691 without a remainder.

1,4691

Greatest Common Factor

We found the factors 3754,4691 . The biggest common factor number is the GCF number.
So the greatest common factor 3754,4691 is 1.

Lets's calculate LCM of 242,3750

2 242, 3750
121, 1875

∴ So the LCM of the given numbers is 2 x 121 x 1875 = 453750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453750

Therefore, the GCF of Fractions 3754/242,4691/3750 is 1/453750

Least Common Multiple of 242,3750 with GCF Formula

Least Common Multiple of 242,3750 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 242,3750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,3750) = 2

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

GCF(242,3750) x common factors =2 x 1 = 2

LCM(242,3750) = ( 242 × 3750 ) / 2

LCM(242,3750) = 907500 / 2

LCM(242,3750) = 453750


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 3754/242, 4691/3750

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 3754/242, 4691/3750?

Answer: GCF of Numerators as per given numbers 3754/242, 4691/3750 is

GCF of Numerators i.e. for 3754,4691 is 1

LCM of denominators i.e. for 242,3750 is 453750.

Thus, GCF of Fractions is 1/453750.Finally, GCF of Fractions for 3754/242, 4691/3750 is 1/453750.