Greatest Common Factor of 100/898, 3212/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/898, 3212/416

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 100/898,3212/416

Given fractions are 100/898,3212/416

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 100,3212

Greatest Common Factor of Numerators i.e. GCF of 100,3212 is 4 .

LCM of Denominators means LCM of 898,416 as per the given fractions.

LCM of 898,416 is 186784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,3212

GCF of Fractions 100/898,3212/416 is 4/186784

2 100, 3212
2 50, 1606
25, 803

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 100,3212 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,3212 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 3212

List of positive integer factors of 3212 that divides 3212 without a remainder.

1,2,4,11,22,44,73,146,292,803,1606,3212

Greatest Common Factor

We found the factors 100,3212 . The biggest common factor number is the GCF number.
So the greatest common factor 100,3212 is 4.

Lets's calculate LCM of 898,416

2 898, 416
449, 208

∴ So the LCM of the given numbers is 2 x 449 x 208 = 186784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/186784

Therefore, the GCF of Fractions 100/898,3212/416 is 4/186784

Least Common Multiple of 898,416 with GCF Formula

Least Common Multiple of 898,416 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 898,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,416) = 2

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

GCF(898,416) x common factors =2 x 1 = 2

LCM(898,416) = ( 898 × 416 ) / 2

LCM(898,416) = 373568 / 2

LCM(898,416) = 186784


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 100/898, 3212/416

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 100/898, 3212/416?

Answer: GCF of Numerators as per given numbers 100/898, 3212/416 is

GCF of Numerators i.e. for 100,3212 is 4

LCM of denominators i.e. for 898,416 is 186784.

Thus, GCF of Fractions is 4/186784.Finally, GCF of Fractions for 100/898, 3212/416 is 4/186784.