Greatest Common Factor of 856/38, 810/96, 164/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/38, 810/96, 164/840

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 856/38,810/96,164/840

Given fractions are 856/38,810/96,164/840

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 856,810,164

Greatest Common Factor of Numerators i.e. GCF of 856,810,164 is 2 .

LCM of Denominators means LCM of 38,96,840 as per the given fractions.

LCM of 38,96,840 is 63840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,810,164

GCF of Fractions 856/38,810/96,164/840 is 2/63840

2 856, 810, 164
428, 405, 82

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

Greatest Common Factor of 856,810,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,810,164 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 856,810,164 . The biggest common factor number is the GCF number.
So the greatest common factor 856,810,164 is 2.

Lets's calculate LCM of 38,96,840

2 38, 96, 840
2 19, 48, 420
2 19, 24, 210
3 19, 12, 105
19, 4, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 4 x 35 = 63840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63840

Therefore, the GCF of Fractions 856/38,810/96,164/840 is 2/63840

Least Common Multiple of 38,96,840 with GCF Formula

Least Common Multiple of 38,96,840 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 38,96,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,96,840) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(38,96,840) x common factors =2 x 24 = 48

LCM(38,96,840) = ( 38 × 96 × 840 ) / 48

LCM(38,96,840) = 3064320 / 48

LCM(38,96,840) = 63840


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 856/38, 810/96, 164/840

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 856/38, 810/96, 164/840?

Answer: GCF of Numerators as per given numbers 856/38, 810/96, 164/840 is

GCF of Numerators i.e. for 856,810,164 is 2

LCM of denominators i.e. for 38,96,840 is 63840.

Thus, GCF of Fractions is 2/63840.Finally, GCF of Fractions for 856/38, 810/96, 164/840 is 2/63840.