Greatest Common Factor of 410/26, 197/29, 749/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 410/26, 197/29, 749/319

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 410/26,197/29,749/319

Given fractions are 410/26,197/29,749/319

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 410,197,749

Greatest Common Factor of Numerators i.e. GCF of 410,197,749 is 1 .

LCM of Denominators means LCM of 26,29,319 as per the given fractions.

LCM of 26,29,319 is 8294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 410,197,749

GCF of Fractions 410/26,197/29,749/319 is 1/8294

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

Greatest Common Factor of 410,197,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,197,749 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 410,197,749 . The biggest common factor number is the GCF number.
So the greatest common factor 410,197,749 is 1.

Lets's calculate LCM of 26,29,319

29 26, 29, 319
26, 1, 11

∴ So the LCM of the given numbers is 29 x 26 x 1 x 11 = 8294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8294

Therefore, the GCF of Fractions 410/26,197/29,749/319 is 1/8294

Least Common Multiple of 26,29,319 with GCF Formula

Least Common Multiple of 26,29,319 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 26,29,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,29,319) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(26,29,319) x common factors =1 x 29 = 29

LCM(26,29,319) = ( 26 × 29 × 319 ) / 29

LCM(26,29,319) = 240526 / 29

LCM(26,29,319) = 8294


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 410/26, 197/29, 749/319

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 410/26, 197/29, 749/319?

Answer: GCF of Numerators as per given numbers 410/26, 197/29, 749/319 is

GCF of Numerators i.e. for 410,197,749 is 1

LCM of denominators i.e. for 26,29,319 is 8294.

Thus, GCF of Fractions is 1/8294.Finally, GCF of Fractions for 410/26, 197/29, 749/319 is 1/8294.