Greatest Common Factor of 605/221, 616/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 605/221, 616/754

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 605/221,616/754

Given fractions are 605/221,616/754

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 605,616

Greatest Common Factor of Numerators i.e. GCF of 605,616 is 11 .

LCM of Denominators means LCM of 221,754 as per the given fractions.

LCM of 221,754 is 12818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 605,616

GCF of Fractions 605/221,616/754 is 11/12818

11 605, 616
55, 56

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 605,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,616 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 605,616 . The biggest common factor number is the GCF number.
So the greatest common factor 605,616 is 11.

Lets's calculate LCM of 221,754

13 221, 754
17, 58

∴ So the LCM of the given numbers is 13 x 17 x 58 = 12818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/12818

Therefore, the GCF of Fractions 605/221,616/754 is 11/12818

Least Common Multiple of 221,754 with GCF Formula

Least Common Multiple of 221,754 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 221,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,754) = 13

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

GCF(221,754) x common factors =13 x 1 = 13

LCM(221,754) = ( 221 × 754 ) / 13

LCM(221,754) = 166634 / 13

LCM(221,754) = 12818


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 605/221, 616/754

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 605/221, 616/754?

Answer: GCF of Numerators as per given numbers 605/221, 616/754 is

GCF of Numerators i.e. for 605,616 is 11

LCM of denominators i.e. for 221,754 is 12818.

Thus, GCF of Fractions is 11/12818.Finally, GCF of Fractions for 605/221, 616/754 is 11/12818.