Greatest Common Factor of 49/64, 66/22, 889/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/64, 66/22, 889/192

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 49/64,66/22,889/192

Given fractions are 49/64,66/22,889/192

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 49,66,889

Greatest Common Factor of Numerators i.e. GCF of 49,66,889 is 1 .

LCM of Denominators means LCM of 64,22,192 as per the given fractions.

LCM of 64,22,192 is 2112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,66,889

GCF of Fractions 49/64,66/22,889/192 is 1/2112

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

Greatest Common Factor of 49,66,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,66,889 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 49,66,889 . The biggest common factor number is the GCF number.
So the greatest common factor 49,66,889 is 1.

Lets's calculate LCM of 64,22,192

2 64, 22, 192
2 32, 11, 96
2 16, 11, 48
2 8, 11, 24
2 4, 11, 12
2 2, 11, 6
1, 11, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 11 x 3 = 2112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2112

Therefore, the GCF of Fractions 49/64,66/22,889/192 is 1/2112

Least Common Multiple of 64,22,192 with GCF Formula

Least Common Multiple of 64,22,192 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 64,22,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,22,192) = 2

common factors(in case of two or more numbers have common factors) = 64

GCF(64,22,192) x common factors =2 x 64 = 128

LCM(64,22,192) = ( 64 × 22 × 192 ) / 128

LCM(64,22,192) = 270336 / 128

LCM(64,22,192) = 2112


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 49/64, 66/22, 889/192

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 49/64, 66/22, 889/192?

Answer: GCF of Numerators as per given numbers 49/64, 66/22, 889/192 is

GCF of Numerators i.e. for 49,66,889 is 1

LCM of denominators i.e. for 64,22,192 is 2112.

Thus, GCF of Fractions is 1/2112.Finally, GCF of Fractions for 49/64, 66/22, 889/192 is 1/2112.