Greatest Common Factor of 26/750, 416/814, 247/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/750, 416/814, 247/701

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 26/750,416/814,247/701

Given fractions are 26/750,416/814,247/701

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 26,416,247

Greatest Common Factor of Numerators i.e. GCF of 26,416,247 is 13 .

LCM of Denominators means LCM of 750,814,701 as per the given fractions.

LCM of 750,814,701 is 213980250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,416,247

GCF of Fractions 26/750,416/814,247/701 is 13/213980250

13 26, 416, 247
2, 32, 19

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 26,416,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,416,247 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 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 26,416,247 . The biggest common factor number is the GCF number.
So the greatest common factor 26,416,247 is 13.

Lets's calculate LCM of 750,814,701

2 750, 814, 701
375, 407, 701

∴ So the LCM of the given numbers is 2 x 375 x 407 x 701 = 213980250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/213980250

Therefore, the GCF of Fractions 26/750,416/814,247/701 is 13/213980250

Least Common Multiple of 750,814,701 with GCF Formula

Least Common Multiple of 750,814,701 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 750,814,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,814,701) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(750,814,701) x common factors =1 x 2 = 2

LCM(750,814,701) = ( 750 × 814 × 701 ) / 2

LCM(750,814,701) = 427960500 / 2

LCM(750,814,701) = 213980250


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 26/750, 416/814, 247/701

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 26/750, 416/814, 247/701?

Answer: GCF of Numerators as per given numbers 26/750, 416/814, 247/701 is

GCF of Numerators i.e. for 26,416,247 is 13

LCM of denominators i.e. for 750,814,701 is 213980250.

Thus, GCF of Fractions is 13/213980250.Finally, GCF of Fractions for 26/750, 416/814, 247/701 is 13/213980250.