Greatest Common Factor of 7/66, 74/77, 60/800, 805/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/66, 74/77, 60/800, 805/748

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 7/66,74/77,60/800,805/748

Given fractions are 7/66,74/77,60/800,805/748

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 7,74,60,805

Greatest Common Factor of Numerators i.e. GCF of 7,74,60,805 is 1 .

LCM of Denominators means LCM of 66,77,800,748 as per the given fractions.

LCM of 66,77,800,748 is 3141600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,74,60,805

GCF of Fractions 7/66,74/77,60/800,805/748 is 1/3141600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7,74,60,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,74,60,805 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 7,74,60,805 . The biggest common factor number is the GCF number.
So the greatest common factor 7,74,60,805 is 1.

Lets's calculate LCM of 66,77,800,748

2 66, 77, 800, 748
2 33, 77, 400, 374
11 33, 77, 200, 187
3, 7, 200, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 x 7 x 200 x 17 = 3141600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3141600

Therefore, the GCF of Fractions 7/66,74/77,60/800,805/748 is 1/3141600

Least Common Multiple of 66,77,800,748 with GCF Formula

Least Common Multiple of 66,77,800,748 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 66,77,800,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,77,800,748) = 1

common factors(in case of two or more numbers have common factors) = 968

GCF(66,77,800,748) x common factors =1 x 968 = 968

LCM(66,77,800,748) = ( 66 × 77 × 800 × 748 ) / 968

LCM(66,77,800,748) = 3041068800 / 968

LCM(66,77,800,748) = 3141600


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 7/66, 74/77, 60/800, 805/748

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 7/66, 74/77, 60/800, 805/748?

Answer: GCF of Numerators as per given numbers 7/66, 74/77, 60/800, 805/748 is

GCF of Numerators i.e. for 7,74,60,805 is 1

LCM of denominators i.e. for 66,77,800,748 is 3141600.

Thus, GCF of Fractions is 1/3141600.Finally, GCF of Fractions for 7/66, 74/77, 60/800, 805/748 is 1/3141600.