Greatest Common Factor of 5450/614, 1130/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5450/614, 1130/377

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 5450/614,1130/377

Given fractions are 5450/614,1130/377

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 5450,1130

Greatest Common Factor of Numerators i.e. GCF of 5450,1130 is 10 .

LCM of Denominators means LCM of 614,377 as per the given fractions.

LCM of 614,377 is 231478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5450,1130

GCF of Fractions 5450/614,1130/377 is 10/231478

2 5450, 1130
5 2725, 565
545, 113

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 5450,1130 By Matching Biggest Common Factor Method

Greatest Common Factor of 5450,1130 By Matching Biggest Common Factor Method

Factors of 5450

List of positive integer factors of 5450 that divides 5450 without a remainder.

1,2,5,10,25,50,109,218,545,1090,2725,5450

Factors of 1130

List of positive integer factors of 1130 that divides 1130 without a remainder.

1,2,5,10,113,226,565,1130

Greatest Common Factor

We found the factors 5450,1130 . The biggest common factor number is the GCF number.
So the greatest common factor 5450,1130 is 10.

Lets's calculate LCM of 614,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 231478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/231478

Therefore, the GCF of Fractions 5450/614,1130/377 is 10/231478

Least Common Multiple of 614,377 with GCF Formula

Least Common Multiple of 614,377 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 614,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,377) = 1

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

GCF(614,377) x common factors =1 x 1 = 1

LCM(614,377) = ( 614 × 377 ) / 1

LCM(614,377) = 231478 / 1

LCM(614,377) = 231478


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 5450/614, 1130/377

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 5450/614, 1130/377?

Answer: GCF of Numerators as per given numbers 5450/614, 1130/377 is

GCF of Numerators i.e. for 5450,1130 is 10

LCM of denominators i.e. for 614,377 is 231478.

Thus, GCF of Fractions is 10/231478.Finally, GCF of Fractions for 5450/614, 1130/377 is 10/231478.