Greatest Common Factor of 1042/75, 5210/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1042/75, 5210/463

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 1042/75,5210/463

Given fractions are 1042/75,5210/463

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 1042,5210

Greatest Common Factor of Numerators i.e. GCF of 1042,5210 is 1042 .

LCM of Denominators means LCM of 75,463 as per the given fractions.

LCM of 75,463 is 34725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1042,5210

GCF of Fractions 1042/75,5210/463 is 1042/34725

2 1042, 5210
521 521, 2605
1, 5

∴ So the GCF of the given numbers is 2 x 521 = 1042

Greatest Common Factor of 1042,5210 By Matching Biggest Common Factor Method

Greatest Common Factor of 1042,5210 By Matching Biggest Common Factor Method

Factors of 1042

List of positive integer factors of 1042 that divides 1042 without a remainder.

1,2,521,1042

Factors of 5210

List of positive integer factors of 5210 that divides 5210 without a remainder.

1,2,5,10,521,1042,2605,5210

Greatest Common Factor

We found the factors 1042,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 1042,5210 is 1042.

Lets's calculate LCM of 75,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 34725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1042/34725

Therefore, the GCF of Fractions 1042/75,5210/463 is 1042/34725

Least Common Multiple of 75,463 with GCF Formula

Least Common Multiple of 75,463 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 75,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,463) = 1

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

GCF(75,463) x common factors =1 x 1 = 1

LCM(75,463) = ( 75 × 463 ) / 1

LCM(75,463) = 34725 / 1

LCM(75,463) = 34725


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 1042/75, 5210/463

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 1042/75, 5210/463?

Answer: GCF of Numerators as per given numbers 1042/75, 5210/463 is

GCF of Numerators i.e. for 1042,5210 is 1042

LCM of denominators i.e. for 75,463 is 34725.

Thus, GCF of Fractions is 1042/34725.Finally, GCF of Fractions for 1042/75, 5210/463 is 1042/34725.