Greatest Common Factor of 4976/362, 1400/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4976/362, 1400/303

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 4976/362,1400/303

Given fractions are 4976/362,1400/303

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 4976,1400

Greatest Common Factor of Numerators i.e. GCF of 4976,1400 is 8 .

LCM of Denominators means LCM of 362,303 as per the given fractions.

LCM of 362,303 is 109686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4976,1400

GCF of Fractions 4976/362,1400/303 is 8/109686

2 4976, 1400
2 2488, 700
2 1244, 350
622, 175

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4976,1400 By Matching Biggest Common Factor Method

Greatest Common Factor of 4976,1400 By Matching Biggest Common Factor Method

Factors of 4976

List of positive integer factors of 4976 that divides 4976 without a remainder.

1,2,4,8,16,311,622,1244,2488,4976

Factors of 1400

List of positive integer factors of 1400 that divides 1400 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400

Greatest Common Factor

We found the factors 4976,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 4976,1400 is 8.

Lets's calculate LCM of 362,303

Given numbers has no common factors except 1. So, there LCM is their product i.e 109686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/109686

Therefore, the GCF of Fractions 4976/362,1400/303 is 8/109686

Least Common Multiple of 362,303 with GCF Formula

Least Common Multiple of 362,303 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 362,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,303) = 1

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

GCF(362,303) x common factors =1 x 1 = 1

LCM(362,303) = ( 362 × 303 ) / 1

LCM(362,303) = 109686 / 1

LCM(362,303) = 109686


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 4976/362, 1400/303

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 4976/362, 1400/303?

Answer: GCF of Numerators as per given numbers 4976/362, 1400/303 is

GCF of Numerators i.e. for 4976,1400 is 8

LCM of denominators i.e. for 362,303 is 109686.

Thus, GCF of Fractions is 8/109686.Finally, GCF of Fractions for 4976/362, 1400/303 is 8/109686.