Greatest Common Factor of 505/25, 606/9114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 505/25, 606/9114

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 505/25,606/9114

Given fractions are 505/25,606/9114

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 505,606

Greatest Common Factor of Numerators i.e. GCF of 505,606 is 101 .

LCM of Denominators means LCM of 25,9114 as per the given fractions.

LCM of 25,9114 is 227850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 505,606

GCF of Fractions 505/25,606/9114 is 101/227850

101 505, 606
5, 6

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 505,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,606 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 505,606 . The biggest common factor number is the GCF number.
So the greatest common factor 505,606 is 101.

Lets's calculate LCM of 25,9114

Given numbers has no common factors except 1. So, there LCM is their product i.e 227850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/227850

Therefore, the GCF of Fractions 505/25,606/9114 is 101/227850

Least Common Multiple of 25,9114 with GCF Formula

Least Common Multiple of 25,9114 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 25,9114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,9114) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(25,9114) x common factors =1 x 1 = 1

LCM(25,9114) = ( 25 × 9114 ) / 1

LCM(25,9114) = 227850 / 1

LCM(25,9114) = 227850


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 505/25, 606/9114

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 505/25, 606/9114?

Answer: GCF of Numerators as per given numbers 505/25, 606/9114 is

GCF of Numerators i.e. for 505,606 is 101

LCM of denominators i.e. for 25,9114 is 227850.

Thus, GCF of Fractions is 101/227850.Finally, GCF of Fractions for 505/25, 606/9114 is 101/227850.