Greatest Common Factor of 26/830, 62/656, 597/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/830, 62/656, 597/270

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 26/830,62/656,597/270

Given fractions are 26/830,62/656,597/270

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 26,62,597

Greatest Common Factor of Numerators i.e. GCF of 26,62,597 is 1 .

LCM of Denominators means LCM of 830,656,270 as per the given fractions.

LCM of 830,656,270 is 7350480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,62,597

GCF of Fractions 26/830,62/656,597/270 is 1/7350480

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

Greatest Common Factor of 26,62,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,62,597 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 26,62,597 . The biggest common factor number is the GCF number.
So the greatest common factor 26,62,597 is 1.

Lets's calculate LCM of 830,656,270

2 830, 656, 270
5 415, 328, 135
83, 328, 27

∴ So the LCM of the given numbers is 2 x 5 x 83 x 328 x 27 = 7350480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7350480

Therefore, the GCF of Fractions 26/830,62/656,597/270 is 1/7350480

Least Common Multiple of 830,656,270 with GCF Formula

Least Common Multiple of 830,656,270 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 830,656,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,656,270) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(830,656,270) x common factors =2 x 10 = 20

LCM(830,656,270) = ( 830 × 656 × 270 ) / 20

LCM(830,656,270) = 147009600 / 20

LCM(830,656,270) = 7350480


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 26/830, 62/656, 597/270

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 26/830, 62/656, 597/270?

Answer: GCF of Numerators as per given numbers 26/830, 62/656, 597/270 is

GCF of Numerators i.e. for 26,62,597 is 1

LCM of denominators i.e. for 830,656,270 is 7350480.

Thus, GCF of Fractions is 1/7350480.Finally, GCF of Fractions for 26/830, 62/656, 597/270 is 1/7350480.