Greatest Common Factor of 7026/779, 5825/1663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7026/779, 5825/1663

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 7026/779,5825/1663

Given fractions are 7026/779,5825/1663

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 7026,5825

Greatest Common Factor of Numerators i.e. GCF of 7026,5825 is 1 .

LCM of Denominators means LCM of 779,1663 as per the given fractions.

LCM of 779,1663 is 1295477 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7026,5825

GCF of Fractions 7026/779,5825/1663 is 1/1295477

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

Greatest Common Factor of 7026,5825 By Matching Biggest Common Factor Method

Greatest Common Factor of 7026,5825 By Matching Biggest Common Factor Method

Factors of 7026

List of positive integer factors of 7026 that divides 7026 without a remainder.

1,2,3,6,1171,2342,3513,7026

Factors of 5825

List of positive integer factors of 5825 that divides 5825 without a remainder.

1,5,25,233,1165,5825

Greatest Common Factor

We found the factors 7026,5825 . The biggest common factor number is the GCF number.
So the greatest common factor 7026,5825 is 1.

Lets's calculate LCM of 779,1663

Given numbers has no common factors except 1. So, there LCM is their product i.e 1295477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1295477

Therefore, the GCF of Fractions 7026/779,5825/1663 is 1/1295477

Least Common Multiple of 779,1663 with GCF Formula

Least Common Multiple of 779,1663 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 779,1663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,1663) = 1

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

GCF(779,1663) x common factors =1 x 1 = 1

LCM(779,1663) = ( 779 × 1663 ) / 1

LCM(779,1663) = 1295477 / 1

LCM(779,1663) = 1295477


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 7026/779, 5825/1663

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 7026/779, 5825/1663?

Answer: GCF of Numerators as per given numbers 7026/779, 5825/1663 is

GCF of Numerators i.e. for 7026,5825 is 1

LCM of denominators i.e. for 779,1663 is 1295477.

Thus, GCF of Fractions is 1/1295477.Finally, GCF of Fractions for 7026/779, 5825/1663 is 1/1295477.