Greatest Common Factor of 3289/48, 4627/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3289/48, 4627/763

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 3289/48,4627/763

Given fractions are 3289/48,4627/763

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 3289,4627

Greatest Common Factor of Numerators i.e. GCF of 3289,4627 is 1 .

LCM of Denominators means LCM of 48,763 as per the given fractions.

LCM of 48,763 is 36624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3289,4627

GCF of Fractions 3289/48,4627/763 is 1/36624

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

Greatest Common Factor of 3289,4627 By Matching Biggest Common Factor Method

Greatest Common Factor of 3289,4627 By Matching Biggest Common Factor Method

Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1,11,13,23,143,253,299,3289

Factors of 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1,7,661,4627

Greatest Common Factor

We found the factors 3289,4627 . The biggest common factor number is the GCF number.
So the greatest common factor 3289,4627 is 1.

Lets's calculate LCM of 48,763

Given numbers has no common factors except 1. So, there LCM is their product i.e 36624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36624

Therefore, the GCF of Fractions 3289/48,4627/763 is 1/36624

Least Common Multiple of 48,763 with GCF Formula

Least Common Multiple of 48,763 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 48,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,763) = 1

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

GCF(48,763) x common factors =1 x 1 = 1

LCM(48,763) = ( 48 × 763 ) / 1

LCM(48,763) = 36624 / 1

LCM(48,763) = 36624


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 3289/48, 4627/763

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 3289/48, 4627/763?

Answer: GCF of Numerators as per given numbers 3289/48, 4627/763 is

GCF of Numerators i.e. for 3289,4627 is 1

LCM of denominators i.e. for 48,763 is 36624.

Thus, GCF of Fractions is 1/36624.Finally, GCF of Fractions for 3289/48, 4627/763 is 1/36624.