Greatest Common Factor of 418/560, 737/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/560, 737/556

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 418/560,737/556

Given fractions are 418/560,737/556

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 418,737

Greatest Common Factor of Numerators i.e. GCF of 418,737 is 11 .

LCM of Denominators means LCM of 560,556 as per the given fractions.

LCM of 560,556 is 77840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,737

GCF of Fractions 418/560,737/556 is 11/77840

11 418, 737
38, 67

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

Greatest Common Factor of 418,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,737 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 418,737 . The biggest common factor number is the GCF number.
So the greatest common factor 418,737 is 11.

Lets's calculate LCM of 560,556

2 560, 556
2 280, 278
140, 139

∴ So the LCM of the given numbers is 2 x 2 x 140 x 139 = 77840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/77840

Therefore, the GCF of Fractions 418/560,737/556 is 11/77840

Least Common Multiple of 560,556 with GCF Formula

Least Common Multiple of 560,556 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 560,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,556) = 4

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

GCF(560,556) x common factors =4 x 1 = 4

LCM(560,556) = ( 560 × 556 ) / 4

LCM(560,556) = 311360 / 4

LCM(560,556) = 77840


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 418/560, 737/556

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 418/560, 737/556?

Answer: GCF of Numerators as per given numbers 418/560, 737/556 is

GCF of Numerators i.e. for 418,737 is 11

LCM of denominators i.e. for 560,556 is 77840.

Thus, GCF of Fractions is 11/77840.Finally, GCF of Fractions for 418/560, 737/556 is 11/77840.