Greatest Common Factor of 898/512, 5801/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 898/512, 5801/100

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 898/512,5801/100

Given fractions are 898/512,5801/100

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 898,5801

Greatest Common Factor of Numerators i.e. GCF of 898,5801 is 1 .

LCM of Denominators means LCM of 512,100 as per the given fractions.

LCM of 512,100 is 12800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 898,5801

GCF of Fractions 898/512,5801/100 is 1/12800

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

Greatest Common Factor of 898,5801 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,5801 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 5801

List of positive integer factors of 5801 that divides 5801 without a remainder.

1,5801

Greatest Common Factor

We found the factors 898,5801 . The biggest common factor number is the GCF number.
So the greatest common factor 898,5801 is 1.

Lets's calculate LCM of 512,100

2 512, 100
2 256, 50
128, 25

∴ So the LCM of the given numbers is 2 x 2 x 128 x 25 = 12800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12800

Therefore, the GCF of Fractions 898/512,5801/100 is 1/12800

Least Common Multiple of 512,100 with GCF Formula

Least Common Multiple of 512,100 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 512,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,100) = 4

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

GCF(512,100) x common factors =4 x 1 = 4

LCM(512,100) = ( 512 × 100 ) / 4

LCM(512,100) = 51200 / 4

LCM(512,100) = 12800


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 898/512, 5801/100

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 898/512, 5801/100?

Answer: GCF of Numerators as per given numbers 898/512, 5801/100 is

GCF of Numerators i.e. for 898,5801 is 1

LCM of denominators i.e. for 512,100 is 12800.

Thus, GCF of Fractions is 1/12800.Finally, GCF of Fractions for 898/512, 5801/100 is 1/12800.