Greatest Common Factor of 3/85, 45/51, 48/177, 520/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/85, 45/51, 48/177, 520/427

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 3/85,45/51,48/177,520/427

Given fractions are 3/85,45/51,48/177,520/427

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 3,45,48,520

Greatest Common Factor of Numerators i.e. GCF of 3,45,48,520 is 1 .

LCM of Denominators means LCM of 85,51,177,427 as per the given fractions.

LCM of 85,51,177,427 is 6424215 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,45,48,520

GCF of Fractions 3/85,45/51,48/177,520/427 is 1/6424215

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

Greatest Common Factor of 3,45,48,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,45,48,520 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 45

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

1,3,5,9,15,45

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 3,45,48,520 . The biggest common factor number is the GCF number.
So the greatest common factor 3,45,48,520 is 1.

Lets's calculate LCM of 85,51,177,427

3 85, 51, 177, 427
17 85, 17, 59, 427
5, 1, 59, 427

∴ So the LCM of the given numbers is 3 x 17 x 5 x 1 x 59 x 427 = 6424215

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6424215

Therefore, the GCF of Fractions 3/85,45/51,48/177,520/427 is 1/6424215

Least Common Multiple of 85,51,177,427 with GCF Formula

Least Common Multiple of 85,51,177,427 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 85,51,177,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,51,177,427) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(85,51,177,427) x common factors =1 x 51 = 51

LCM(85,51,177,427) = ( 85 × 51 × 177 × 427 ) / 51

LCM(85,51,177,427) = 327634965 / 51

LCM(85,51,177,427) = 6424215


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 3/85, 45/51, 48/177, 520/427

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 3/85, 45/51, 48/177, 520/427?

Answer: GCF of Numerators as per given numbers 3/85, 45/51, 48/177, 520/427 is

GCF of Numerators i.e. for 3,45,48,520 is 1

LCM of denominators i.e. for 85,51,177,427 is 6424215.

Thus, GCF of Fractions is 1/6424215.Finally, GCF of Fractions for 3/85, 45/51, 48/177, 520/427 is 1/6424215.