Greatest Common Factor of 1734/546, 7064/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1734/546, 7064/654

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 1734/546,7064/654

Given fractions are 1734/546,7064/654

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 1734,7064

Greatest Common Factor of Numerators i.e. GCF of 1734,7064 is 2 .

LCM of Denominators means LCM of 546,654 as per the given fractions.

LCM of 546,654 is 59514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1734,7064

GCF of Fractions 1734/546,7064/654 is 2/59514

2 1734, 7064
867, 3532

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

Greatest Common Factor of 1734,7064 By Matching Biggest Common Factor Method

Greatest Common Factor of 1734,7064 By Matching Biggest Common Factor Method

Factors of 1734

List of positive integer factors of 1734 that divides 1734 without a remainder.

1,2,3,6,17,34,51,102,289,578,867,1734

Factors of 7064

List of positive integer factors of 7064 that divides 7064 without a remainder.

1,2,4,8,883,1766,3532,7064

Greatest Common Factor

We found the factors 1734,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 1734,7064 is 2.

Lets's calculate LCM of 546,654

2 546, 654
3 273, 327
91, 109

∴ So the LCM of the given numbers is 2 x 3 x 91 x 109 = 59514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59514

Therefore, the GCF of Fractions 1734/546,7064/654 is 2/59514

Least Common Multiple of 546,654 with GCF Formula

Least Common Multiple of 546,654 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 546,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,654) = 6

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

GCF(546,654) x common factors =6 x 1 = 6

LCM(546,654) = ( 546 × 654 ) / 6

LCM(546,654) = 357084 / 6

LCM(546,654) = 59514


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 1734/546, 7064/654

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 1734/546, 7064/654?

Answer: GCF of Numerators as per given numbers 1734/546, 7064/654 is

GCF of Numerators i.e. for 1734,7064 is 2

LCM of denominators i.e. for 546,654 is 59514.

Thus, GCF of Fractions is 2/59514.Finally, GCF of Fractions for 1734/546, 7064/654 is 2/59514.