Greatest Common Factor of 5114/705, 7045/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5114/705, 7045/448

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 5114/705,7045/448

Given fractions are 5114/705,7045/448

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 5114,7045

Greatest Common Factor of Numerators i.e. GCF of 5114,7045 is 1 .

LCM of Denominators means LCM of 705,448 as per the given fractions.

LCM of 705,448 is 315840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5114,7045

GCF of Fractions 5114/705,7045/448 is 1/315840

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

Greatest Common Factor of 5114,7045 By Matching Biggest Common Factor Method

Greatest Common Factor of 5114,7045 By Matching Biggest Common Factor Method

Factors of 5114

List of positive integer factors of 5114 that divides 5114 without a remainder.

1,2,2557,5114

Factors of 7045

List of positive integer factors of 7045 that divides 7045 without a remainder.

1,5,1409,7045

Greatest Common Factor

We found the factors 5114,7045 . The biggest common factor number is the GCF number.
So the greatest common factor 5114,7045 is 1.

Lets's calculate LCM of 705,448

Given numbers has no common factors except 1. So, there LCM is their product i.e 315840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315840

Therefore, the GCF of Fractions 5114/705,7045/448 is 1/315840

Least Common Multiple of 705,448 with GCF Formula

Least Common Multiple of 705,448 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 705,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,448) = 1

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

GCF(705,448) x common factors =1 x 1 = 1

LCM(705,448) = ( 705 × 448 ) / 1

LCM(705,448) = 315840 / 1

LCM(705,448) = 315840


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 5114/705, 7045/448

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 5114/705, 7045/448?

Answer: GCF of Numerators as per given numbers 5114/705, 7045/448 is

GCF of Numerators i.e. for 5114,7045 is 1

LCM of denominators i.e. for 705,448 is 315840.

Thus, GCF of Fractions is 1/315840.Finally, GCF of Fractions for 5114/705, 7045/448 is 1/315840.