Greatest Common Factor of 442/457, 5253/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/457, 5253/785

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 442/457,5253/785

Given fractions are 442/457,5253/785

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 442,5253

Greatest Common Factor of Numerators i.e. GCF of 442,5253 is 17 .

LCM of Denominators means LCM of 457,785 as per the given fractions.

LCM of 457,785 is 358745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,5253

GCF of Fractions 442/457,5253/785 is 17/358745

17 442, 5253
26, 309

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 442,5253 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,5253 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1,3,17,51,103,309,1751,5253

Greatest Common Factor

We found the factors 442,5253 . The biggest common factor number is the GCF number.
So the greatest common factor 442,5253 is 17.

Lets's calculate LCM of 457,785

Given numbers has no common factors except 1. So, there LCM is their product i.e 358745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/358745

Therefore, the GCF of Fractions 442/457,5253/785 is 17/358745

Least Common Multiple of 457,785 with GCF Formula

Least Common Multiple of 457,785 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 457,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,785) = 1

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

GCF(457,785) x common factors =1 x 1 = 1

LCM(457,785) = ( 457 × 785 ) / 1

LCM(457,785) = 358745 / 1

LCM(457,785) = 358745


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 442/457, 5253/785

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 442/457, 5253/785?

Answer: GCF of Numerators as per given numbers 442/457, 5253/785 is

GCF of Numerators i.e. for 442,5253 is 17

LCM of denominators i.e. for 457,785 is 358745.

Thus, GCF of Fractions is 17/358745.Finally, GCF of Fractions for 442/457, 5253/785 is 17/358745.