Greatest Common Factor of 3220/504, 4553/3702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3220/504, 4553/3702

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 3220/504,4553/3702

Given fractions are 3220/504,4553/3702

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 3220,4553

Greatest Common Factor of Numerators i.e. GCF of 3220,4553 is 1 .

LCM of Denominators means LCM of 504,3702 as per the given fractions.

LCM of 504,3702 is 310968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3220,4553

GCF of Fractions 3220/504,4553/3702 is 1/310968

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

Greatest Common Factor of 3220,4553 By Matching Biggest Common Factor Method

Greatest Common Factor of 3220,4553 By Matching Biggest Common Factor Method

Factors of 3220

List of positive integer factors of 3220 that divides 3220 without a remainder.

1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220

Factors of 4553

List of positive integer factors of 4553 that divides 4553 without a remainder.

1,29,157,4553

Greatest Common Factor

We found the factors 3220,4553 . The biggest common factor number is the GCF number.
So the greatest common factor 3220,4553 is 1.

Lets's calculate LCM of 504,3702

2 504, 3702
3 252, 1851
84, 617

∴ So the LCM of the given numbers is 2 x 3 x 84 x 617 = 310968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310968

Therefore, the GCF of Fractions 3220/504,4553/3702 is 1/310968

Least Common Multiple of 504,3702 with GCF Formula

Least Common Multiple of 504,3702 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 504,3702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,3702) = 6

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

GCF(504,3702) x common factors =6 x 1 = 6

LCM(504,3702) = ( 504 × 3702 ) / 6

LCM(504,3702) = 1865808 / 6

LCM(504,3702) = 310968


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 3220/504, 4553/3702

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 3220/504, 4553/3702?

Answer: GCF of Numerators as per given numbers 3220/504, 4553/3702 is

GCF of Numerators i.e. for 3220,4553 is 1

LCM of denominators i.e. for 504,3702 is 310968.

Thus, GCF of Fractions is 1/310968.Finally, GCF of Fractions for 3220/504, 4553/3702 is 1/310968.