Greatest Common Factor of 777/856, 1850/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 777/856, 1850/152

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 777/856,1850/152

Given fractions are 777/856,1850/152

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 777,1850

Greatest Common Factor of Numerators i.e. GCF of 777,1850 is 37 .

LCM of Denominators means LCM of 856,152 as per the given fractions.

LCM of 856,152 is 16264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 777,1850

GCF of Fractions 777/856,1850/152 is 37/16264

37 777, 1850
21, 50

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 777,1850 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,1850 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 1850

List of positive integer factors of 1850 that divides 1850 without a remainder.

1,2,5,10,25,37,50,74,185,370,925,1850

Greatest Common Factor

We found the factors 777,1850 . The biggest common factor number is the GCF number.
So the greatest common factor 777,1850 is 37.

Lets's calculate LCM of 856,152

2 856, 152
2 428, 76
2 214, 38
107, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 19 = 16264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/16264

Therefore, the GCF of Fractions 777/856,1850/152 is 37/16264

Least Common Multiple of 856,152 with GCF Formula

Least Common Multiple of 856,152 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 856,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,152) = 8

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

GCF(856,152) x common factors =8 x 1 = 8

LCM(856,152) = ( 856 × 152 ) / 8

LCM(856,152) = 130112 / 8

LCM(856,152) = 16264


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 777/856, 1850/152

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 777/856, 1850/152?

Answer: GCF of Numerators as per given numbers 777/856, 1850/152 is

GCF of Numerators i.e. for 777,1850 is 37

LCM of denominators i.e. for 856,152 is 16264.

Thus, GCF of Fractions is 37/16264.Finally, GCF of Fractions for 777/856, 1850/152 is 37/16264.