Greatest Common Factor of 5112/649, 3410/1400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5112/649, 3410/1400

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 5112/649,3410/1400

Given fractions are 5112/649,3410/1400

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 5112,3410

Greatest Common Factor of Numerators i.e. GCF of 5112,3410 is 2 .

LCM of Denominators means LCM of 649,1400 as per the given fractions.

LCM of 649,1400 is 908600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5112,3410

GCF of Fractions 5112/649,3410/1400 is 2/908600

2 5112, 3410
2556, 1705

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

Greatest Common Factor of 5112,3410 By Matching Biggest Common Factor Method

Greatest Common Factor of 5112,3410 By Matching Biggest Common Factor Method

Factors of 5112

List of positive integer factors of 5112 that divides 5112 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112

Factors of 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Greatest Common Factor

We found the factors 5112,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 5112,3410 is 2.

Lets's calculate LCM of 649,1400

Given numbers has no common factors except 1. So, there LCM is their product i.e 908600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/908600

Therefore, the GCF of Fractions 5112/649,3410/1400 is 2/908600

Least Common Multiple of 649,1400 with GCF Formula

Least Common Multiple of 649,1400 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 649,1400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,1400) = 1

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

GCF(649,1400) x common factors =1 x 1 = 1

LCM(649,1400) = ( 649 × 1400 ) / 1

LCM(649,1400) = 908600 / 1

LCM(649,1400) = 908600


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 5112/649, 3410/1400

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 5112/649, 3410/1400?

Answer: GCF of Numerators as per given numbers 5112/649, 3410/1400 is

GCF of Numerators i.e. for 5112,3410 is 2

LCM of denominators i.e. for 649,1400 is 908600.

Thus, GCF of Fractions is 2/908600.Finally, GCF of Fractions for 5112/649, 3410/1400 is 2/908600.