Greatest Common Factor of 3764/39, 2629/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3764/39, 2629/448

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 3764/39,2629/448

Given fractions are 3764/39,2629/448

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 3764,2629

Greatest Common Factor of Numerators i.e. GCF of 3764,2629 is 1 .

LCM of Denominators means LCM of 39,448 as per the given fractions.

LCM of 39,448 is 17472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3764,2629

GCF of Fractions 3764/39,2629/448 is 1/17472

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

Greatest Common Factor of 3764,2629 By Matching Biggest Common Factor Method

Greatest Common Factor of 3764,2629 By Matching Biggest Common Factor Method

Factors of 3764

List of positive integer factors of 3764 that divides 3764 without a remainder.

1,2,4,941,1882,3764

Factors of 2629

List of positive integer factors of 2629 that divides 2629 without a remainder.

1,11,239,2629

Greatest Common Factor

We found the factors 3764,2629 . The biggest common factor number is the GCF number.
So the greatest common factor 3764,2629 is 1.

Lets's calculate LCM of 39,448

Given numbers has no common factors except 1. So, there LCM is their product i.e 17472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17472

Therefore, the GCF of Fractions 3764/39,2629/448 is 1/17472

Least Common Multiple of 39,448 with GCF Formula

Least Common Multiple of 39,448 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 39,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,448) = 1

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

GCF(39,448) x common factors =1 x 1 = 1

LCM(39,448) = ( 39 × 448 ) / 1

LCM(39,448) = 17472 / 1

LCM(39,448) = 17472


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 3764/39, 2629/448

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 3764/39, 2629/448?

Answer: GCF of Numerators as per given numbers 3764/39, 2629/448 is

GCF of Numerators i.e. for 3764,2629 is 1

LCM of denominators i.e. for 39,448 is 17472.

Thus, GCF of Fractions is 1/17472.Finally, GCF of Fractions for 3764/39, 2629/448 is 1/17472.