Greatest Common Factor of 4678/802, 2070/7355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4678/802, 2070/7355

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 4678/802,2070/7355

Given fractions are 4678/802,2070/7355

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 4678,2070

Greatest Common Factor of Numerators i.e. GCF of 4678,2070 is 2 .

LCM of Denominators means LCM of 802,7355 as per the given fractions.

LCM of 802,7355 is 5898710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4678,2070

GCF of Fractions 4678/802,2070/7355 is 2/5898710

2 4678, 2070
2339, 1035

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4678,2070 By Matching Biggest Common Factor Method

Greatest Common Factor of 4678,2070 By Matching Biggest Common Factor Method

Factors of 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1,2,2339,4678

Factors of 2070

List of positive integer factors of 2070 that divides 2070 without a remainder.

1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070

Greatest Common Factor

We found the factors 4678,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 4678,2070 is 2.

Lets's calculate LCM of 802,7355

Given numbers has no common factors except 1. So, there LCM is their product i.e 5898710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5898710

Therefore, the GCF of Fractions 4678/802,2070/7355 is 2/5898710

Least Common Multiple of 802,7355 with GCF Formula

Least Common Multiple of 802,7355 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 802,7355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,7355) = 1

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

GCF(802,7355) x common factors =1 x 1 = 1

LCM(802,7355) = ( 802 × 7355 ) / 1

LCM(802,7355) = 5898710 / 1

LCM(802,7355) = 5898710


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 4678/802, 2070/7355

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 4678/802, 2070/7355?

Answer: GCF of Numerators as per given numbers 4678/802, 2070/7355 is

GCF of Numerators i.e. for 4678,2070 is 2

LCM of denominators i.e. for 802,7355 is 5898710.

Thus, GCF of Fractions is 2/5898710.Finally, GCF of Fractions for 4678/802, 2070/7355 is 2/5898710.