Greatest Common Factor of 421/99, 3488/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 421/99, 3488/599

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 421/99,3488/599

Given fractions are 421/99,3488/599

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 421,3488

Greatest Common Factor of Numerators i.e. GCF of 421,3488 is 1 .

LCM of Denominators means LCM of 99,599 as per the given fractions.

LCM of 99,599 is 59301 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 421,3488

GCF of Fractions 421/99,3488/599 is 1/59301

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

Greatest Common Factor of 421,3488 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,3488 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1,2,4,8,16,32,109,218,436,872,1744,3488

Greatest Common Factor

We found the factors 421,3488 . The biggest common factor number is the GCF number.
So the greatest common factor 421,3488 is 1.

Lets's calculate LCM of 99,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 59301

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59301

Therefore, the GCF of Fractions 421/99,3488/599 is 1/59301

Least Common Multiple of 99,599 with GCF Formula

Least Common Multiple of 99,599 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 99,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,599) = 1

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

GCF(99,599) x common factors =1 x 1 = 1

LCM(99,599) = ( 99 × 599 ) / 1

LCM(99,599) = 59301 / 1

LCM(99,599) = 59301


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 421/99, 3488/599

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 421/99, 3488/599?

Answer: GCF of Numerators as per given numbers 421/99, 3488/599 is

GCF of Numerators i.e. for 421,3488 is 1

LCM of denominators i.e. for 99,599 is 59301.

Thus, GCF of Fractions is 1/59301.Finally, GCF of Fractions for 421/99, 3488/599 is 1/59301.