Greatest Common Factor of 420/103, 3904/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/103, 3904/314

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 420/103,3904/314

Given fractions are 420/103,3904/314

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 420,3904

Greatest Common Factor of Numerators i.e. GCF of 420,3904 is 4 .

LCM of Denominators means LCM of 103,314 as per the given fractions.

LCM of 103,314 is 32342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,3904

GCF of Fractions 420/103,3904/314 is 4/32342

2 420, 3904
2 210, 1952
105, 976

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

Greatest Common Factor of 420,3904 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,3904 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 3904

List of positive integer factors of 3904 that divides 3904 without a remainder.

1,2,4,8,16,32,61,64,122,244,488,976,1952,3904

Greatest Common Factor

We found the factors 420,3904 . The biggest common factor number is the GCF number.
So the greatest common factor 420,3904 is 4.

Lets's calculate LCM of 103,314

Given numbers has no common factors except 1. So, there LCM is their product i.e 32342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/32342

Therefore, the GCF of Fractions 420/103,3904/314 is 4/32342

Least Common Multiple of 103,314 with GCF Formula

Least Common Multiple of 103,314 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 103,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,314) = 1

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

GCF(103,314) x common factors =1 x 1 = 1

LCM(103,314) = ( 103 × 314 ) / 1

LCM(103,314) = 32342 / 1

LCM(103,314) = 32342


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 420/103, 3904/314

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 420/103, 3904/314?

Answer: GCF of Numerators as per given numbers 420/103, 3904/314 is

GCF of Numerators i.e. for 420,3904 is 4

LCM of denominators i.e. for 103,314 is 32342.

Thus, GCF of Fractions is 4/32342.Finally, GCF of Fractions for 420/103, 3904/314 is 4/32342.