Greatest Common Factor of 172/78, 630/15, 554/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 172/78, 630/15, 554/633

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 172/78,630/15,554/633

Given fractions are 172/78,630/15,554/633

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 172,630,554

Greatest Common Factor of Numerators i.e. GCF of 172,630,554 is 2 .

LCM of Denominators means LCM of 78,15,633 as per the given fractions.

LCM of 78,15,633 is 82290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 172,630,554

GCF of Fractions 172/78,630/15,554/633 is 2/82290

2 172, 630, 554
86, 315, 277

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 172,630,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,630,554 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 172,630,554 . The biggest common factor number is the GCF number.
So the greatest common factor 172,630,554 is 2.

Lets's calculate LCM of 78,15,633

3 78, 15, 633
26, 5, 211

∴ So the LCM of the given numbers is 3 x 26 x 5 x 211 = 82290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82290

Therefore, the GCF of Fractions 172/78,630/15,554/633 is 2/82290

Least Common Multiple of 78,15,633 with GCF Formula

Least Common Multiple of 78,15,633 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 78,15,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,15,633) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(78,15,633) x common factors =3 x 3 = 9

LCM(78,15,633) = ( 78 × 15 × 633 ) / 9

LCM(78,15,633) = 740610 / 9

LCM(78,15,633) = 82290


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 172/78, 630/15, 554/633

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 172/78, 630/15, 554/633?

Answer: GCF of Numerators as per given numbers 172/78, 630/15, 554/633 is

GCF of Numerators i.e. for 172,630,554 is 2

LCM of denominators i.e. for 78,15,633 is 82290.

Thus, GCF of Fractions is 2/82290.Finally, GCF of Fractions for 172/78, 630/15, 554/633 is 2/82290.