Greatest Common Factor of 646/167, 6726/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 646/167, 6726/947

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 646/167,6726/947

Given fractions are 646/167,6726/947

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 646,6726

Greatest Common Factor of Numerators i.e. GCF of 646,6726 is 38 .

LCM of Denominators means LCM of 167,947 as per the given fractions.

LCM of 167,947 is 158149 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 646,6726

GCF of Fractions 646/167,6726/947 is 38/158149

2 646, 6726
19 323, 3363
17, 177

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 646,6726 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,6726 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 6726

List of positive integer factors of 6726 that divides 6726 without a remainder.

1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726

Greatest Common Factor

We found the factors 646,6726 . The biggest common factor number is the GCF number.
So the greatest common factor 646,6726 is 38.

Lets's calculate LCM of 167,947

Given numbers has no common factors except 1. So, there LCM is their product i.e 158149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/158149

Therefore, the GCF of Fractions 646/167,6726/947 is 38/158149

Least Common Multiple of 167,947 with GCF Formula

Least Common Multiple of 167,947 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 167,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,947) = 1

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

GCF(167,947) x common factors =1 x 1 = 1

LCM(167,947) = ( 167 × 947 ) / 1

LCM(167,947) = 158149 / 1

LCM(167,947) = 158149


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 646/167, 6726/947

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 646/167, 6726/947?

Answer: GCF of Numerators as per given numbers 646/167, 6726/947 is

GCF of Numerators i.e. for 646,6726 is 38

LCM of denominators i.e. for 167,947 is 158149.

Thus, GCF of Fractions is 38/158149.Finally, GCF of Fractions for 646/167, 6726/947 is 38/158149.