Greatest Common Factor of 344/34, 945/28, 630/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 344/34, 945/28, 630/53

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 344/34,945/28,630/53

Given fractions are 344/34,945/28,630/53

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 344,945,630

Greatest Common Factor of Numerators i.e. GCF of 344,945,630 is 1 .

LCM of Denominators means LCM of 34,28,53 as per the given fractions.

LCM of 34,28,53 is 25228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 344,945,630

GCF of Fractions 344/34,945/28,630/53 is 1/25228

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 344,945,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,945,630 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

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 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 344,945,630 . The biggest common factor number is the GCF number.
So the greatest common factor 344,945,630 is 1.

Lets's calculate LCM of 34,28,53

2 34, 28, 53
17, 14, 53

∴ So the LCM of the given numbers is 2 x 17 x 14 x 53 = 25228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25228

Therefore, the GCF of Fractions 344/34,945/28,630/53 is 1/25228

Least Common Multiple of 34,28,53 with GCF Formula

Least Common Multiple of 34,28,53 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 34,28,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,28,53) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,28,53) x common factors =1 x 2 = 2

LCM(34,28,53) = ( 34 × 28 × 53 ) / 2

LCM(34,28,53) = 50456 / 2

LCM(34,28,53) = 25228


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 344/34, 945/28, 630/53

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 344/34, 945/28, 630/53?

Answer: GCF of Numerators as per given numbers 344/34, 945/28, 630/53 is

GCF of Numerators i.e. for 344,945,630 is 1

LCM of denominators i.e. for 34,28,53 is 25228.

Thus, GCF of Fractions is 1/25228.Finally, GCF of Fractions for 344/34, 945/28, 630/53 is 1/25228.