Greatest Common Factor of 554/85, 106/49, 123/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 554/85, 106/49, 123/505

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 554/85,106/49,123/505

Given fractions are 554/85,106/49,123/505

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 554,106,123

Greatest Common Factor of Numerators i.e. GCF of 554,106,123 is 1 .

LCM of Denominators means LCM of 85,49,505 as per the given fractions.

LCM of 85,49,505 is 420665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 554,106,123

GCF of Fractions 554/85,106/49,123/505 is 1/420665

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

Greatest Common Factor of 554,106,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,106,123 By Matching Biggest Common Factor Method

Factors of 554

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

1,2,277,554

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 554,106,123 . The biggest common factor number is the GCF number.
So the greatest common factor 554,106,123 is 1.

Lets's calculate LCM of 85,49,505

5 85, 49, 505
17, 49, 101

∴ So the LCM of the given numbers is 5 x 17 x 49 x 101 = 420665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420665

Therefore, the GCF of Fractions 554/85,106/49,123/505 is 1/420665

Least Common Multiple of 85,49,505 with GCF Formula

Least Common Multiple of 85,49,505 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 85,49,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,49,505) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,49,505) x common factors =1 x 5 = 5

LCM(85,49,505) = ( 85 × 49 × 505 ) / 5

LCM(85,49,505) = 2103325 / 5

LCM(85,49,505) = 420665


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 554/85, 106/49, 123/505

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 554/85, 106/49, 123/505?

Answer: GCF of Numerators as per given numbers 554/85, 106/49, 123/505 is

GCF of Numerators i.e. for 554,106,123 is 1

LCM of denominators i.e. for 85,49,505 is 420665.

Thus, GCF of Fractions is 1/420665.Finally, GCF of Fractions for 554/85, 106/49, 123/505 is 1/420665.