Greatest Common Factor of 545/414, 7419/5283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 545/414, 7419/5283

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 545/414,7419/5283

Given fractions are 545/414,7419/5283

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 545,7419

Greatest Common Factor of Numerators i.e. GCF of 545,7419 is 1 .

LCM of Denominators means LCM of 414,5283 as per the given fractions.

LCM of 414,5283 is 243018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 545,7419

GCF of Fractions 545/414,7419/5283 is 1/243018

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

Greatest Common Factor of 545,7419 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,7419 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 7419

List of positive integer factors of 7419 that divides 7419 without a remainder.

1,3,2473,7419

Greatest Common Factor

We found the factors 545,7419 . The biggest common factor number is the GCF number.
So the greatest common factor 545,7419 is 1.

Lets's calculate LCM of 414,5283

3 414, 5283
3 138, 1761
46, 587

∴ So the LCM of the given numbers is 3 x 3 x 46 x 587 = 243018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243018

Therefore, the GCF of Fractions 545/414,7419/5283 is 1/243018

Least Common Multiple of 414,5283 with GCF Formula

Least Common Multiple of 414,5283 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 414,5283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,5283) = 9

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

GCF(414,5283) x common factors =9 x 1 = 9

LCM(414,5283) = ( 414 × 5283 ) / 9

LCM(414,5283) = 2187162 / 9

LCM(414,5283) = 243018


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 545/414, 7419/5283

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 545/414, 7419/5283?

Answer: GCF of Numerators as per given numbers 545/414, 7419/5283 is

GCF of Numerators i.e. for 545,7419 is 1

LCM of denominators i.e. for 414,5283 is 243018.

Thus, GCF of Fractions is 1/243018.Finally, GCF of Fractions for 545/414, 7419/5283 is 1/243018.