Greatest Common Factor of 450/4070, 784/3940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/4070, 784/3940

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 450/4070,784/3940

Given fractions are 450/4070,784/3940

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 450,784

Greatest Common Factor of Numerators i.e. GCF of 450,784 is 2 .

LCM of Denominators means LCM of 4070,3940 as per the given fractions.

LCM of 4070,3940 is 1603580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,784

GCF of Fractions 450/4070,784/3940 is 2/1603580

2 450, 784
225, 392

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

Greatest Common Factor of 450,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,784 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 450,784 . The biggest common factor number is the GCF number.
So the greatest common factor 450,784 is 2.

Lets's calculate LCM of 4070,3940

2 4070, 3940
5 2035, 1970
407, 394

∴ So the LCM of the given numbers is 2 x 5 x 407 x 394 = 1603580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1603580

Therefore, the GCF of Fractions 450/4070,784/3940 is 2/1603580

Least Common Multiple of 4070,3940 with GCF Formula

Least Common Multiple of 4070,3940 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 4070,3940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4070,3940) = 10

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

GCF(4070,3940) x common factors =10 x 1 = 10

LCM(4070,3940) = ( 4070 × 3940 ) / 10

LCM(4070,3940) = 16035800 / 10

LCM(4070,3940) = 1603580


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 450/4070, 784/3940

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 450/4070, 784/3940?

Answer: GCF of Numerators as per given numbers 450/4070, 784/3940 is

GCF of Numerators i.e. for 450,784 is 2

LCM of denominators i.e. for 4070,3940 is 1603580.

Thus, GCF of Fractions is 2/1603580.Finally, GCF of Fractions for 450/4070, 784/3940 is 2/1603580.