Greatest Common Factor of 45/88, 85/722, 407/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/88, 85/722, 407/286

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 45/88,85/722,407/286

Given fractions are 45/88,85/722,407/286

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 45,85,407

Greatest Common Factor of Numerators i.e. GCF of 45,85,407 is 1 .

LCM of Denominators means LCM of 88,722,286 as per the given fractions.

LCM of 88,722,286 is 412984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,85,407

GCF of Fractions 45/88,85/722,407/286 is 1/412984

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

Greatest Common Factor of 45,85,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,85,407 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 45,85,407 . The biggest common factor number is the GCF number.
So the greatest common factor 45,85,407 is 1.

Lets's calculate LCM of 88,722,286

2 88, 722, 286
11 44, 361, 143
4, 361, 13

∴ So the LCM of the given numbers is 2 x 11 x 4 x 361 x 13 = 412984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412984

Therefore, the GCF of Fractions 45/88,85/722,407/286 is 1/412984

Least Common Multiple of 88,722,286 with GCF Formula

Least Common Multiple of 88,722,286 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 88,722,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,722,286) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(88,722,286) x common factors =2 x 22 = 44

LCM(88,722,286) = ( 88 × 722 × 286 ) / 44

LCM(88,722,286) = 18171296 / 44

LCM(88,722,286) = 412984


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 45/88, 85/722, 407/286

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 45/88, 85/722, 407/286?

Answer: GCF of Numerators as per given numbers 45/88, 85/722, 407/286 is

GCF of Numerators i.e. for 45,85,407 is 1

LCM of denominators i.e. for 88,722,286 is 412984.

Thus, GCF of Fractions is 1/412984.Finally, GCF of Fractions for 45/88, 85/722, 407/286 is 1/412984.