Greatest Common Factor of 5740/629, 4528/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5740/629, 4528/450

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 5740/629,4528/450

Given fractions are 5740/629,4528/450

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 5740,4528

Greatest Common Factor of Numerators i.e. GCF of 5740,4528 is 4 .

LCM of Denominators means LCM of 629,450 as per the given fractions.

LCM of 629,450 is 283050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5740,4528

GCF of Fractions 5740/629,4528/450 is 4/283050

2 5740, 4528
2 2870, 2264
1435, 1132

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

Greatest Common Factor of 5740,4528 By Matching Biggest Common Factor Method

Greatest Common Factor of 5740,4528 By Matching Biggest Common Factor Method

Factors of 5740

List of positive integer factors of 5740 that divides 5740 without a remainder.

1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740

Factors of 4528

List of positive integer factors of 4528 that divides 4528 without a remainder.

1,2,4,8,16,283,566,1132,2264,4528

Greatest Common Factor

We found the factors 5740,4528 . The biggest common factor number is the GCF number.
So the greatest common factor 5740,4528 is 4.

Lets's calculate LCM of 629,450

Given numbers has no common factors except 1. So, there LCM is their product i.e 283050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/283050

Therefore, the GCF of Fractions 5740/629,4528/450 is 4/283050

Least Common Multiple of 629,450 with GCF Formula

Least Common Multiple of 629,450 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 629,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,450) = 1

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

GCF(629,450) x common factors =1 x 1 = 1

LCM(629,450) = ( 629 × 450 ) / 1

LCM(629,450) = 283050 / 1

LCM(629,450) = 283050


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 5740/629, 4528/450

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 5740/629, 4528/450?

Answer: GCF of Numerators as per given numbers 5740/629, 4528/450 is

GCF of Numerators i.e. for 5740,4528 is 4

LCM of denominators i.e. for 629,450 is 283050.

Thus, GCF of Fractions is 4/283050.Finally, GCF of Fractions for 5740/629, 4528/450 is 4/283050.