Greatest Common Factor of 578/351, 1758/4236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 578/351, 1758/4236

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 578/351,1758/4236

Given fractions are 578/351,1758/4236

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 578,1758

Greatest Common Factor of Numerators i.e. GCF of 578,1758 is 2 .

LCM of Denominators means LCM of 351,4236 as per the given fractions.

LCM of 351,4236 is 495612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 578,1758

GCF of Fractions 578/351,1758/4236 is 2/495612

2 578, 1758
289, 879

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 578,1758 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,1758 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 1758

List of positive integer factors of 1758 that divides 1758 without a remainder.

1,2,3,6,293,586,879,1758

Greatest Common Factor

We found the factors 578,1758 . The biggest common factor number is the GCF number.
So the greatest common factor 578,1758 is 2.

Lets's calculate LCM of 351,4236

3 351, 4236
117, 1412

∴ So the LCM of the given numbers is 3 x 117 x 1412 = 495612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/495612

Therefore, the GCF of Fractions 578/351,1758/4236 is 2/495612

Least Common Multiple of 351,4236 with GCF Formula

Least Common Multiple of 351,4236 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 351,4236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,4236) = 3

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

GCF(351,4236) x common factors =3 x 1 = 3

LCM(351,4236) = ( 351 × 4236 ) / 3

LCM(351,4236) = 1486836 / 3

LCM(351,4236) = 495612


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 578/351, 1758/4236

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 578/351, 1758/4236?

Answer: GCF of Numerators as per given numbers 578/351, 1758/4236 is

GCF of Numerators i.e. for 578,1758 is 2

LCM of denominators i.e. for 351,4236 is 495612.

Thus, GCF of Fractions is 2/495612.Finally, GCF of Fractions for 578/351, 1758/4236 is 2/495612.