Greatest Common Factor of 3330/974, 6545/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3330/974, 6545/148

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 3330/974,6545/148

Given fractions are 3330/974,6545/148

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 3330,6545

Greatest Common Factor of Numerators i.e. GCF of 3330,6545 is 5 .

LCM of Denominators means LCM of 974,148 as per the given fractions.

LCM of 974,148 is 72076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3330,6545

GCF of Fractions 3330/974,6545/148 is 5/72076

5 3330, 6545
666, 1309

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3330,6545 By Matching Biggest Common Factor Method

Greatest Common Factor of 3330,6545 By Matching Biggest Common Factor Method

Factors of 3330

List of positive integer factors of 3330 that divides 3330 without a remainder.

1,2,3,5,6,9,10,15,18,30,37,45,74,90,111,185,222,333,370,555,666,1110,1665,3330

Factors of 6545

List of positive integer factors of 6545 that divides 6545 without a remainder.

1,5,7,11,17,35,55,77,85,119,187,385,595,935,1309,6545

Greatest Common Factor

We found the factors 3330,6545 . The biggest common factor number is the GCF number.
So the greatest common factor 3330,6545 is 5.

Lets's calculate LCM of 974,148

2 974, 148
487, 74

∴ So the LCM of the given numbers is 2 x 487 x 74 = 72076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/72076

Therefore, the GCF of Fractions 3330/974,6545/148 is 5/72076

Least Common Multiple of 974,148 with GCF Formula

Least Common Multiple of 974,148 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 974,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,148) = 2

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

GCF(974,148) x common factors =2 x 1 = 2

LCM(974,148) = ( 974 × 148 ) / 2

LCM(974,148) = 144152 / 2

LCM(974,148) = 72076


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 3330/974, 6545/148

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 3330/974, 6545/148?

Answer: GCF of Numerators as per given numbers 3330/974, 6545/148 is

GCF of Numerators i.e. for 3330,6545 is 5

LCM of denominators i.e. for 974,148 is 72076.

Thus, GCF of Fractions is 5/72076.Finally, GCF of Fractions for 3330/974, 6545/148 is 5/72076.