Greatest Common Factor of 7076/430, 7994/3083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7076/430, 7994/3083

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 7076/430,7994/3083

Given fractions are 7076/430,7994/3083

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 7076,7994

Greatest Common Factor of Numerators i.e. GCF of 7076,7994 is 2 .

LCM of Denominators means LCM of 430,3083 as per the given fractions.

LCM of 430,3083 is 1325690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7076,7994

GCF of Fractions 7076/430,7994/3083 is 2/1325690

2 7076, 7994
3538, 3997

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

Greatest Common Factor of 7076,7994 By Matching Biggest Common Factor Method

Greatest Common Factor of 7076,7994 By Matching Biggest Common Factor Method

Factors of 7076

List of positive integer factors of 7076 that divides 7076 without a remainder.

1,2,4,29,58,61,116,122,244,1769,3538,7076

Factors of 7994

List of positive integer factors of 7994 that divides 7994 without a remainder.

1,2,7,14,571,1142,3997,7994

Greatest Common Factor

We found the factors 7076,7994 . The biggest common factor number is the GCF number.
So the greatest common factor 7076,7994 is 2.

Lets's calculate LCM of 430,3083

Given numbers has no common factors except 1. So, there LCM is their product i.e 1325690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1325690

Therefore, the GCF of Fractions 7076/430,7994/3083 is 2/1325690

Least Common Multiple of 430,3083 with GCF Formula

Least Common Multiple of 430,3083 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 430,3083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,3083) = 1

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

GCF(430,3083) x common factors =1 x 1 = 1

LCM(430,3083) = ( 430 × 3083 ) / 1

LCM(430,3083) = 1325690 / 1

LCM(430,3083) = 1325690


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 7076/430, 7994/3083

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 7076/430, 7994/3083?

Answer: GCF of Numerators as per given numbers 7076/430, 7994/3083 is

GCF of Numerators i.e. for 7076,7994 is 2

LCM of denominators i.e. for 430,3083 is 1325690.

Thus, GCF of Fractions is 2/1325690.Finally, GCF of Fractions for 7076/430, 7994/3083 is 2/1325690.