Greatest Common Factor of 26/394, 774/361, 220/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/394, 774/361, 220/250

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 26/394,774/361,220/250

Given fractions are 26/394,774/361,220/250

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 26,774,220

Greatest Common Factor of Numerators i.e. GCF of 26,774,220 is 2 .

LCM of Denominators means LCM of 394,361,250 as per the given fractions.

LCM of 394,361,250 is 17779250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,774,220

GCF of Fractions 26/394,774/361,220/250 is 2/17779250

2 26, 774, 220
13, 387, 110

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 26,774,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,774,220 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 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 26,774,220 . The biggest common factor number is the GCF number.
So the greatest common factor 26,774,220 is 2.

Lets's calculate LCM of 394,361,250

2 394, 361, 250
197, 361, 125

∴ So the LCM of the given numbers is 2 x 197 x 361 x 125 = 17779250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17779250

Therefore, the GCF of Fractions 26/394,774/361,220/250 is 2/17779250

Least Common Multiple of 394,361,250 with GCF Formula

Least Common Multiple of 394,361,250 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 394,361,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,361,250) = 1

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

GCF(394,361,250) x common factors =1 x 2 = 2

LCM(394,361,250) = ( 394 × 361 × 250 ) / 2

LCM(394,361,250) = 35558500 / 2

LCM(394,361,250) = 17779250


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 26/394, 774/361, 220/250

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 26/394, 774/361, 220/250?

Answer: GCF of Numerators as per given numbers 26/394, 774/361, 220/250 is

GCF of Numerators i.e. for 26,774,220 is 2

LCM of denominators i.e. for 394,361,250 is 17779250.

Thus, GCF of Fractions is 2/17779250.Finally, GCF of Fractions for 26/394, 774/361, 220/250 is 2/17779250.