Greatest Common Factor of 80/22, 45/41, 946/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 80/22, 45/41, 946/411

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 80/22,45/41,946/411

Given fractions are 80/22,45/41,946/411

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 80,45,946

Greatest Common Factor of Numerators i.e. GCF of 80,45,946 is 1 .

LCM of Denominators means LCM of 22,41,411 as per the given fractions.

LCM of 22,41,411 is 370722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,45,946

GCF of Fractions 80/22,45/41,946/411 is 1/370722

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

Greatest Common Factor of 80,45,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,45,946 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 80,45,946 . The biggest common factor number is the GCF number.
So the greatest common factor 80,45,946 is 1.


Lets's calculate LCM of 22,41,411

Given numbers has no common factors except 1. So, there LCM is their product i.e 370722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370722

Therefore, the GCF of Fractions 80/22,45/41,946/411 is 1/370722

Least Common Multiple of 22,41,411 with GCF Formula

Least Common Multiple of 22,41,411 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 22,41,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,41,411) = 1

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

GCF(22,41,411) x common factors =1 x 1 = 1

LCM(22,41,411) = ( 22 × 41 × 411 ) / 1

LCM(22,41,411) = 370722 / 1

LCM(22,41,411) = 370722


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 80/22, 45/41, 946/411

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 80/22, 45/41, 946/411?

Answer: GCF of Numerators as per given numbers 80/22, 45/41, 946/411 is

GCF of Numerators i.e. for 80,45,946 is 1

LCM of denominators i.e. for 22,41,411 is 370722.

Thus, GCF of Fractions is 1/370722.Finally, GCF of Fractions for 80/22, 45/41, 946/411 is 1/370722.