Greatest Common Factor of 653/466, 928/890, 119/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/466, 928/890, 119/933

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 653/466,928/890,119/933

Given fractions are 653/466,928/890,119/933

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 653,928,119

Greatest Common Factor of Numerators i.e. GCF of 653,928,119 is 1 .

LCM of Denominators means LCM of 466,890,933 as per the given fractions.

LCM of 466,890,933 is 193476210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,928,119

GCF of Fractions 653/466,928/890,119/933 is 1/193476210

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

Greatest Common Factor of 653,928,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,928,119 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 653,928,119 . The biggest common factor number is the GCF number.
So the greatest common factor 653,928,119 is 1.

Lets's calculate LCM of 466,890,933

2 466, 890, 933
233, 445, 933

∴ So the LCM of the given numbers is 2 x 233 x 445 x 933 = 193476210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193476210

Therefore, the GCF of Fractions 653/466,928/890,119/933 is 1/193476210

Least Common Multiple of 466,890,933 with GCF Formula

Least Common Multiple of 466,890,933 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 466,890,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,890,933) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(466,890,933) x common factors =1 x 2 = 2

LCM(466,890,933) = ( 466 × 890 × 933 ) / 2

LCM(466,890,933) = 386952420 / 2

LCM(466,890,933) = 193476210


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 653/466, 928/890, 119/933

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 653/466, 928/890, 119/933?

Answer: GCF of Numerators as per given numbers 653/466, 928/890, 119/933 is

GCF of Numerators i.e. for 653,928,119 is 1

LCM of denominators i.e. for 466,890,933 is 193476210.

Thus, GCF of Fractions is 1/193476210.Finally, GCF of Fractions for 653/466, 928/890, 119/933 is 1/193476210.