Greatest Common Factor of 366/662, 7350/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 366/662, 7350/128

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 366/662,7350/128

Given fractions are 366/662,7350/128

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 366,7350

Greatest Common Factor of Numerators i.e. GCF of 366,7350 is 6 .

LCM of Denominators means LCM of 662,128 as per the given fractions.

LCM of 662,128 is 42368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 366,7350

GCF of Fractions 366/662,7350/128 is 6/42368

2 366, 7350
3 183, 3675
61, 1225

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

Greatest Common Factor of 366,7350 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,7350 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350

Greatest Common Factor

We found the factors 366,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 366,7350 is 6.

Lets's calculate LCM of 662,128

2 662, 128
331, 64

∴ So the LCM of the given numbers is 2 x 331 x 64 = 42368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/42368

Therefore, the GCF of Fractions 366/662,7350/128 is 6/42368

Least Common Multiple of 662,128 with GCF Formula

Least Common Multiple of 662,128 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 662,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,128) = 2

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

GCF(662,128) x common factors =2 x 1 = 2

LCM(662,128) = ( 662 × 128 ) / 2

LCM(662,128) = 84736 / 2

LCM(662,128) = 42368


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 366/662, 7350/128

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 366/662, 7350/128?

Answer: GCF of Numerators as per given numbers 366/662, 7350/128 is

GCF of Numerators i.e. for 366,7350 is 6

LCM of denominators i.e. for 662,128 is 42368.

Thus, GCF of Fractions is 6/42368.Finally, GCF of Fractions for 366/662, 7350/128 is 6/42368.