Greatest Common Factor of 945/43, 213/22, 312/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 945/43, 213/22, 312/575

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 945/43,213/22,312/575

Given fractions are 945/43,213/22,312/575

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 945,213,312

Greatest Common Factor of Numerators i.e. GCF of 945,213,312 is 3 .

LCM of Denominators means LCM of 43,22,575 as per the given fractions.

LCM of 43,22,575 is 543950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 945,213,312

GCF of Fractions 945/43,213/22,312/575 is 3/543950

3 945, 213, 312
315, 71, 104

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 945,213,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,213,312 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 945,213,312 . The biggest common factor number is the GCF number.
So the greatest common factor 945,213,312 is 3.

Lets's calculate LCM of 43,22,575

Given numbers has no common factors except 1. So, there LCM is their product i.e 543950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/543950

Therefore, the GCF of Fractions 945/43,213/22,312/575 is 3/543950

Least Common Multiple of 43,22,575 with GCF Formula

Least Common Multiple of 43,22,575 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 43,22,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,22,575) = 1

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

GCF(43,22,575) x common factors =1 x 1 = 1

LCM(43,22,575) = ( 43 × 22 × 575 ) / 1

LCM(43,22,575) = 543950 / 1

LCM(43,22,575) = 543950


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 945/43, 213/22, 312/575

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 945/43, 213/22, 312/575?

Answer: GCF of Numerators as per given numbers 945/43, 213/22, 312/575 is

GCF of Numerators i.e. for 945,213,312 is 3

LCM of denominators i.e. for 43,22,575 is 543950.

Thus, GCF of Fractions is 3/543950.Finally, GCF of Fractions for 945/43, 213/22, 312/575 is 3/543950.