Greatest Common Factor of 9534/34, 4890/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9534/34, 4890/668

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 9534/34,4890/668

Given fractions are 9534/34,4890/668

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 9534,4890

Greatest Common Factor of Numerators i.e. GCF of 9534,4890 is 6 .

LCM of Denominators means LCM of 34,668 as per the given fractions.

LCM of 34,668 is 11356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9534,4890

GCF of Fractions 9534/34,4890/668 is 6/11356

2 9534, 4890
3 4767, 2445
1589, 815

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9534,4890 By Matching Biggest Common Factor Method

Greatest Common Factor of 9534,4890 By Matching Biggest Common Factor Method

Factors of 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534

Factors of 4890

List of positive integer factors of 4890 that divides 4890 without a remainder.

1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890

Greatest Common Factor

We found the factors 9534,4890 . The biggest common factor number is the GCF number.
So the greatest common factor 9534,4890 is 6.

Lets's calculate LCM of 34,668

2 34, 668
17, 334

∴ So the LCM of the given numbers is 2 x 17 x 334 = 11356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/11356

Therefore, the GCF of Fractions 9534/34,4890/668 is 6/11356

Least Common Multiple of 34,668 with GCF Formula

Least Common Multiple of 34,668 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 34,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,668) = 2

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

GCF(34,668) x common factors =2 x 1 = 2

LCM(34,668) = ( 34 × 668 ) / 2

LCM(34,668) = 22712 / 2

LCM(34,668) = 11356


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 9534/34, 4890/668

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 9534/34, 4890/668?

Answer: GCF of Numerators as per given numbers 9534/34, 4890/668 is

GCF of Numerators i.e. for 9534,4890 is 6

LCM of denominators i.e. for 34,668 is 11356.

Thus, GCF of Fractions is 6/11356.Finally, GCF of Fractions for 9534/34, 4890/668 is 6/11356.