Greatest Common Factor of 899/7553, 414/5213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 899/7553, 414/5213

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 899/7553,414/5213

Given fractions are 899/7553,414/5213

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 899,414

Greatest Common Factor of Numerators i.e. GCF of 899,414 is 1 .

LCM of Denominators means LCM of 7553,5213 as per the given fractions.

LCM of 7553,5213 is 3028753 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 899,414

GCF of Fractions 899/7553,414/5213 is 1/3028753

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

Greatest Common Factor of 899,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,414 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 899,414 . The biggest common factor number is the GCF number.
So the greatest common factor 899,414 is 1.

Lets's calculate LCM of 7553,5213

13 7553, 5213
581, 401

∴ So the LCM of the given numbers is 13 x 581 x 401 = 3028753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3028753

Therefore, the GCF of Fractions 899/7553,414/5213 is 1/3028753

Least Common Multiple of 7553,5213 with GCF Formula

Least Common Multiple of 7553,5213 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 7553,5213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7553,5213) = 13

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

GCF(7553,5213) x common factors =13 x 1 = 13

LCM(7553,5213) = ( 7553 × 5213 ) / 13

LCM(7553,5213) = 39373789 / 13

LCM(7553,5213) = 3028753


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 899/7553, 414/5213

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 899/7553, 414/5213?

Answer: GCF of Numerators as per given numbers 899/7553, 414/5213 is

GCF of Numerators i.e. for 899,414 is 1

LCM of denominators i.e. for 7553,5213 is 3028753.

Thus, GCF of Fractions is 1/3028753.Finally, GCF of Fractions for 899/7553, 414/5213 is 1/3028753.