Greatest Common Factor of 947/196, 511/384, 606/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 947/196, 511/384, 606/302

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 947/196,511/384,606/302

Given fractions are 947/196,511/384,606/302

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 947,511,606

Greatest Common Factor of Numerators i.e. GCF of 947,511,606 is 1 .

LCM of Denominators means LCM of 196,384,302 as per the given fractions.

LCM of 196,384,302 is 2841216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 947,511,606

GCF of Fractions 947/196,511/384,606/302 is 1/2841216

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 947,511,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,511,606 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 947,511,606 . The biggest common factor number is the GCF number.
So the greatest common factor 947,511,606 is 1.

Lets's calculate LCM of 196,384,302

2 196, 384, 302
2 98, 192, 151
49, 96, 151

∴ So the LCM of the given numbers is 2 x 2 x 49 x 96 x 151 = 2841216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2841216

Therefore, the GCF of Fractions 947/196,511/384,606/302 is 1/2841216

Least Common Multiple of 196,384,302 with GCF Formula

Least Common Multiple of 196,384,302 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 196,384,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,384,302) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(196,384,302) x common factors =2 x 4 = 8

LCM(196,384,302) = ( 196 × 384 × 302 ) / 8

LCM(196,384,302) = 22729728 / 8

LCM(196,384,302) = 2841216


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 947/196, 511/384, 606/302

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 947/196, 511/384, 606/302?

Answer: GCF of Numerators as per given numbers 947/196, 511/384, 606/302 is

GCF of Numerators i.e. for 947,511,606 is 1

LCM of denominators i.e. for 196,384,302 is 2841216.

Thus, GCF of Fractions is 1/2841216.Finally, GCF of Fractions for 947/196, 511/384, 606/302 is 1/2841216.