Greatest Common Factor of 1505/790, 4378/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1505/790, 4378/358

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 1505/790,4378/358

Given fractions are 1505/790,4378/358

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 1505,4378

Greatest Common Factor of Numerators i.e. GCF of 1505,4378 is 1 .

LCM of Denominators means LCM of 790,358 as per the given fractions.

LCM of 790,358 is 141410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1505,4378

GCF of Fractions 1505/790,4378/358 is 1/141410

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

Greatest Common Factor of 1505,4378 By Matching Biggest Common Factor Method

Greatest Common Factor of 1505,4378 By Matching Biggest Common Factor Method

Factors of 1505

List of positive integer factors of 1505 that divides 1505 without a remainder.

1,5,7,35,43,215,301,1505

Factors of 4378

List of positive integer factors of 4378 that divides 4378 without a remainder.

1,2,11,22,199,398,2189,4378

Greatest Common Factor

We found the factors 1505,4378 . The biggest common factor number is the GCF number.
So the greatest common factor 1505,4378 is 1.

Lets's calculate LCM of 790,358

2 790, 358
395, 179

∴ So the LCM of the given numbers is 2 x 395 x 179 = 141410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141410

Therefore, the GCF of Fractions 1505/790,4378/358 is 1/141410

Least Common Multiple of 790,358 with GCF Formula

Least Common Multiple of 790,358 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 790,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,358) = 2

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

GCF(790,358) x common factors =2 x 1 = 2

LCM(790,358) = ( 790 × 358 ) / 2

LCM(790,358) = 282820 / 2

LCM(790,358) = 141410


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 1505/790, 4378/358

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 1505/790, 4378/358?

Answer: GCF of Numerators as per given numbers 1505/790, 4378/358 is

GCF of Numerators i.e. for 1505,4378 is 1

LCM of denominators i.e. for 790,358 is 141410.

Thus, GCF of Fractions is 1/141410.Finally, GCF of Fractions for 1505/790, 4378/358 is 1/141410.