Greatest Common Factor of 55/506, 493/554, 630/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/506, 493/554, 630/795

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 55/506,493/554,630/795

Given fractions are 55/506,493/554,630/795

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 55,493,630

Greatest Common Factor of Numerators i.e. GCF of 55,493,630 is 1 .

LCM of Denominators means LCM of 506,554,795 as per the given fractions.

LCM of 506,554,795 is 111428790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,493,630

GCF of Fractions 55/506,493/554,630/795 is 1/111428790

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

Greatest Common Factor of 55,493,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,493,630 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

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

Greatest Common Factor

We found the factors 55,493,630 . The biggest common factor number is the GCF number.
So the greatest common factor 55,493,630 is 1.

Lets's calculate LCM of 506,554,795

2 506, 554, 795
253, 277, 795

∴ So the LCM of the given numbers is 2 x 253 x 277 x 795 = 111428790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111428790

Therefore, the GCF of Fractions 55/506,493/554,630/795 is 1/111428790

Least Common Multiple of 506,554,795 with GCF Formula

Least Common Multiple of 506,554,795 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 506,554,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,554,795) = 1

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

GCF(506,554,795) x common factors =1 x 2 = 2

LCM(506,554,795) = ( 506 × 554 × 795 ) / 2

LCM(506,554,795) = 222857580 / 2

LCM(506,554,795) = 111428790


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 55/506, 493/554, 630/795

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 55/506, 493/554, 630/795?

Answer: GCF of Numerators as per given numbers 55/506, 493/554, 630/795 is

GCF of Numerators i.e. for 55,493,630 is 1

LCM of denominators i.e. for 506,554,795 is 111428790.

Thus, GCF of Fractions is 1/111428790.Finally, GCF of Fractions for 55/506, 493/554, 630/795 is 1/111428790.