Greatest Common Factor of 3410/149, 4393/8380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3410/149, 4393/8380

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 3410/149,4393/8380

Given fractions are 3410/149,4393/8380

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 3410,4393

Greatest Common Factor of Numerators i.e. GCF of 3410,4393 is 1 .

LCM of Denominators means LCM of 149,8380 as per the given fractions.

LCM of 149,8380 is 1248620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3410,4393

GCF of Fractions 3410/149,4393/8380 is 1/1248620

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

Greatest Common Factor of 3410,4393 By Matching Biggest Common Factor Method

Greatest Common Factor of 3410,4393 By Matching Biggest Common Factor Method

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

Factors of 4393

List of positive integer factors of 4393 that divides 4393 without a remainder.

1,23,191,4393

Greatest Common Factor

We found the factors 3410,4393 . The biggest common factor number is the GCF number.
So the greatest common factor 3410,4393 is 1.

Lets's calculate LCM of 149,8380

Given numbers has no common factors except 1. So, there LCM is their product i.e 1248620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1248620

Therefore, the GCF of Fractions 3410/149,4393/8380 is 1/1248620

Least Common Multiple of 149,8380 with GCF Formula

Least Common Multiple of 149,8380 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 149,8380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,8380) = 1

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

GCF(149,8380) x common factors =1 x 1 = 1

LCM(149,8380) = ( 149 × 8380 ) / 1

LCM(149,8380) = 1248620 / 1

LCM(149,8380) = 1248620


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 3410/149, 4393/8380

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 3410/149, 4393/8380?

Answer: GCF of Numerators as per given numbers 3410/149, 4393/8380 is

GCF of Numerators i.e. for 3410,4393 is 1

LCM of denominators i.e. for 149,8380 is 1248620.

Thus, GCF of Fractions is 1/1248620.Finally, GCF of Fractions for 3410/149, 4393/8380 is 1/1248620.