Greatest Common Factor of 6577/78, 8104/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6577/78, 8104/430

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 6577/78,8104/430

Given fractions are 6577/78,8104/430

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 6577,8104

Greatest Common Factor of Numerators i.e. GCF of 6577,8104 is 1 .

LCM of Denominators means LCM of 78,430 as per the given fractions.

LCM of 78,430 is 16770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6577,8104

GCF of Fractions 6577/78,8104/430 is 1/16770

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

Greatest Common Factor of 6577,8104 By Matching Biggest Common Factor Method

Greatest Common Factor of 6577,8104 By Matching Biggest Common Factor Method

Factors of 6577

List of positive integer factors of 6577 that divides 6577 without a remainder.

1,6577

Factors of 8104

List of positive integer factors of 8104 that divides 8104 without a remainder.

1,2,4,8,1013,2026,4052,8104

Greatest Common Factor

We found the factors 6577,8104 . The biggest common factor number is the GCF number.
So the greatest common factor 6577,8104 is 1.

Lets's calculate LCM of 78,430

2 78, 430
39, 215

∴ So the LCM of the given numbers is 2 x 39 x 215 = 16770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16770

Therefore, the GCF of Fractions 6577/78,8104/430 is 1/16770

Least Common Multiple of 78,430 with GCF Formula

Least Common Multiple of 78,430 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 78,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,430) = 2

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

GCF(78,430) x common factors =2 x 1 = 2

LCM(78,430) = ( 78 × 430 ) / 2

LCM(78,430) = 33540 / 2

LCM(78,430) = 16770


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 6577/78, 8104/430

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 6577/78, 8104/430?

Answer: GCF of Numerators as per given numbers 6577/78, 8104/430 is

GCF of Numerators i.e. for 6577,8104 is 1

LCM of denominators i.e. for 78,430 is 16770.

Thus, GCF of Fractions is 1/16770.Finally, GCF of Fractions for 6577/78, 8104/430 is 1/16770.