Greatest Common Factor of 4216/452, 2100/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4216/452, 2100/262

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 4216/452,2100/262

Given fractions are 4216/452,2100/262

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 4216,2100

Greatest Common Factor of Numerators i.e. GCF of 4216,2100 is 4 .

LCM of Denominators means LCM of 452,262 as per the given fractions.

LCM of 452,262 is 59212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4216,2100

GCF of Fractions 4216/452,2100/262 is 4/59212

2 4216, 2100
2 2108, 1050
1054, 525

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

Greatest Common Factor of 4216,2100 By Matching Biggest Common Factor Method

Greatest Common Factor of 4216,2100 By Matching Biggest Common Factor Method

Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216

Factors of 2100

List of positive integer factors of 2100 that divides 2100 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100

Greatest Common Factor

We found the factors 4216,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 4216,2100 is 4.

Lets's calculate LCM of 452,262

2 452, 262
226, 131

∴ So the LCM of the given numbers is 2 x 226 x 131 = 59212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/59212

Therefore, the GCF of Fractions 4216/452,2100/262 is 4/59212

Least Common Multiple of 452,262 with GCF Formula

Least Common Multiple of 452,262 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 452,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,262) = 2

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

GCF(452,262) x common factors =2 x 1 = 2

LCM(452,262) = ( 452 × 262 ) / 2

LCM(452,262) = 118424 / 2

LCM(452,262) = 59212


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 4216/452, 2100/262

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 4216/452, 2100/262?

Answer: GCF of Numerators as per given numbers 4216/452, 2100/262 is

GCF of Numerators i.e. for 4216,2100 is 4

LCM of denominators i.e. for 452,262 is 59212.

Thus, GCF of Fractions is 4/59212.Finally, GCF of Fractions for 4216/452, 2100/262 is 4/59212.