Greatest Common Factor of 4278/945, 1520/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4278/945, 1520/478

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 4278/945,1520/478

Given fractions are 4278/945,1520/478

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 4278,1520

Greatest Common Factor of Numerators i.e. GCF of 4278,1520 is 2 .

LCM of Denominators means LCM of 945,478 as per the given fractions.

LCM of 945,478 is 451710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4278,1520

GCF of Fractions 4278/945,1520/478 is 2/451710

2 4278, 1520
2139, 760

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

Greatest Common Factor of 4278,1520 By Matching Biggest Common Factor Method

Greatest Common Factor of 4278,1520 By Matching Biggest Common Factor Method

Factors of 4278

List of positive integer factors of 4278 that divides 4278 without a remainder.

1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278

Factors of 1520

List of positive integer factors of 1520 that divides 1520 without a remainder.

1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520

Greatest Common Factor

We found the factors 4278,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 4278,1520 is 2.

Lets's calculate LCM of 945,478

Given numbers has no common factors except 1. So, there LCM is their product i.e 451710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/451710

Therefore, the GCF of Fractions 4278/945,1520/478 is 2/451710

Least Common Multiple of 945,478 with GCF Formula

Least Common Multiple of 945,478 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 945,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,478) = 1

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

GCF(945,478) x common factors =1 x 1 = 1

LCM(945,478) = ( 945 × 478 ) / 1

LCM(945,478) = 451710 / 1

LCM(945,478) = 451710


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 4278/945, 1520/478

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 4278/945, 1520/478?

Answer: GCF of Numerators as per given numbers 4278/945, 1520/478 is

GCF of Numerators i.e. for 4278,1520 is 2

LCM of denominators i.e. for 945,478 is 451710.

Thus, GCF of Fractions is 2/451710.Finally, GCF of Fractions for 4278/945, 1520/478 is 2/451710.