Greatest Common Factor of 5029/542, 7440/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5029/542, 7440/207

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 5029/542,7440/207

Given fractions are 5029/542,7440/207

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 5029,7440

Greatest Common Factor of Numerators i.e. GCF of 5029,7440 is 1 .

LCM of Denominators means LCM of 542,207 as per the given fractions.

LCM of 542,207 is 112194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5029,7440

GCF of Fractions 5029/542,7440/207 is 1/112194

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

Greatest Common Factor of 5029,7440 By Matching Biggest Common Factor Method

Greatest Common Factor of 5029,7440 By Matching Biggest Common Factor Method

Factors of 5029

List of positive integer factors of 5029 that divides 5029 without a remainder.

1,47,107,5029

Factors of 7440

List of positive integer factors of 7440 that divides 7440 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440

Greatest Common Factor

We found the factors 5029,7440 . The biggest common factor number is the GCF number.
So the greatest common factor 5029,7440 is 1.

Lets's calculate LCM of 542,207

Given numbers has no common factors except 1. So, there LCM is their product i.e 112194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112194

Therefore, the GCF of Fractions 5029/542,7440/207 is 1/112194

Least Common Multiple of 542,207 with GCF Formula

Least Common Multiple of 542,207 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 542,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,207) = 1

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

GCF(542,207) x common factors =1 x 1 = 1

LCM(542,207) = ( 542 × 207 ) / 1

LCM(542,207) = 112194 / 1

LCM(542,207) = 112194


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 5029/542, 7440/207

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 5029/542, 7440/207?

Answer: GCF of Numerators as per given numbers 5029/542, 7440/207 is

GCF of Numerators i.e. for 5029,7440 is 1

LCM of denominators i.e. for 542,207 is 112194.

Thus, GCF of Fractions is 1/112194.Finally, GCF of Fractions for 5029/542, 7440/207 is 1/112194.