Greatest Common Factor of 625/614, 8169/6794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/614, 8169/6794

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 625/614,8169/6794

Given fractions are 625/614,8169/6794

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 625,8169

Greatest Common Factor of Numerators i.e. GCF of 625,8169 is 1 .

LCM of Denominators means LCM of 614,6794 as per the given fractions.

LCM of 614,6794 is 2085758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,8169

GCF of Fractions 625/614,8169/6794 is 1/2085758

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

Greatest Common Factor of 625,8169 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,8169 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 8169

List of positive integer factors of 8169 that divides 8169 without a remainder.

1,3,7,21,389,1167,2723,8169

Greatest Common Factor

We found the factors 625,8169 . The biggest common factor number is the GCF number.
So the greatest common factor 625,8169 is 1.

Lets's calculate LCM of 614,6794

2 614, 6794
307, 3397

∴ So the LCM of the given numbers is 2 x 307 x 3397 = 2085758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2085758

Therefore, the GCF of Fractions 625/614,8169/6794 is 1/2085758

Least Common Multiple of 614,6794 with GCF Formula

Least Common Multiple of 614,6794 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 614,6794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,6794) = 2

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

GCF(614,6794) x common factors =2 x 1 = 2

LCM(614,6794) = ( 614 × 6794 ) / 2

LCM(614,6794) = 4171516 / 2

LCM(614,6794) = 2085758


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 625/614, 8169/6794

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 625/614, 8169/6794?

Answer: GCF of Numerators as per given numbers 625/614, 8169/6794 is

GCF of Numerators i.e. for 625,8169 is 1

LCM of denominators i.e. for 614,6794 is 2085758.

Thus, GCF of Fractions is 1/2085758.Finally, GCF of Fractions for 625/614, 8169/6794 is 1/2085758.