Greatest Common Factor of 673/553, 336/212, 456/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/553, 336/212, 456/712

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 673/553,336/212,456/712

Given fractions are 673/553,336/212,456/712

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 673,336,456

Greatest Common Factor of Numerators i.e. GCF of 673,336,456 is 1 .

LCM of Denominators means LCM of 553,212,712 as per the given fractions.

LCM of 553,212,712 is 20868008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,336,456

GCF of Fractions 673/553,336/212,456/712 is 1/20868008

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

Greatest Common Factor of 673,336,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,336,456 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 673,336,456 . The biggest common factor number is the GCF number.
So the greatest common factor 673,336,456 is 1.

Lets's calculate LCM of 553,212,712

2 553, 212, 712
2 553, 106, 356
553, 53, 178

∴ So the LCM of the given numbers is 2 x 2 x 553 x 53 x 178 = 20868008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20868008

Therefore, the GCF of Fractions 673/553,336/212,456/712 is 1/20868008

Least Common Multiple of 553,212,712 with GCF Formula

Least Common Multiple of 553,212,712 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 553,212,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,212,712) = 1

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

GCF(553,212,712) x common factors =1 x 4 = 4

LCM(553,212,712) = ( 553 × 212 × 712 ) / 4

LCM(553,212,712) = 83472032 / 4

LCM(553,212,712) = 20868008


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 673/553, 336/212, 456/712

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 673/553, 336/212, 456/712?

Answer: GCF of Numerators as per given numbers 673/553, 336/212, 456/712 is

GCF of Numerators i.e. for 673,336,456 is 1

LCM of denominators i.e. for 553,212,712 is 20868008.

Thus, GCF of Fractions is 1/20868008.Finally, GCF of Fractions for 673/553, 336/212, 456/712 is 1/20868008.