Greatest Common Factor of 3474/525, 4608/9562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3474/525, 4608/9562

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 3474/525,4608/9562

Given fractions are 3474/525,4608/9562

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 3474,4608

Greatest Common Factor of Numerators i.e. GCF of 3474,4608 is 18 .

LCM of Denominators means LCM of 525,9562 as per the given fractions.

LCM of 525,9562 is 717150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3474,4608

GCF of Fractions 3474/525,4608/9562 is 18/717150

2 3474, 4608
3 1737, 2304
3 579, 768
193, 256

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 3474,4608 By Matching Biggest Common Factor Method

Greatest Common Factor of 3474,4608 By Matching Biggest Common Factor Method

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Factors of 4608

List of positive integer factors of 4608 that divides 4608 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608

Greatest Common Factor

We found the factors 3474,4608 . The biggest common factor number is the GCF number.
So the greatest common factor 3474,4608 is 18.

Lets's calculate LCM of 525,9562

7 525, 9562
75, 1366

∴ So the LCM of the given numbers is 7 x 75 x 1366 = 717150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/717150

Therefore, the GCF of Fractions 3474/525,4608/9562 is 18/717150

Least Common Multiple of 525,9562 with GCF Formula

Least Common Multiple of 525,9562 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 525,9562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,9562) = 7

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

GCF(525,9562) x common factors =7 x 1 = 7

LCM(525,9562) = ( 525 × 9562 ) / 7

LCM(525,9562) = 5020050 / 7

LCM(525,9562) = 717150


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 3474/525, 4608/9562

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 3474/525, 4608/9562?

Answer: GCF of Numerators as per given numbers 3474/525, 4608/9562 is

GCF of Numerators i.e. for 3474,4608 is 18

LCM of denominators i.e. for 525,9562 is 717150.

Thus, GCF of Fractions is 18/717150.Finally, GCF of Fractions for 3474/525, 4608/9562 is 18/717150.