Greatest Common Factor of 28/88, 46/46, 989/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/88, 46/46, 989/366

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 28/88,46/46,989/366

Given fractions are 28/88,46/46,989/366

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 28,46,989

Greatest Common Factor of Numerators i.e. GCF of 28,46,989 is 1 .

LCM of Denominators means LCM of 88,46,366 as per the given fractions.

LCM of 88,46,366 is 370392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,46,989

GCF of Fractions 28/88,46/46,989/366 is 1/370392

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

Greatest Common Factor of 28,46,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,46,989 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 28,46,989 . The biggest common factor number is the GCF number.
So the greatest common factor 28,46,989 is 1.

Lets's calculate LCM of 88,46,366

2 88, 46, 366
44, 23, 183

∴ So the LCM of the given numbers is 2 x 44 x 23 x 183 = 370392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370392

Therefore, the GCF of Fractions 28/88,46/46,989/366 is 1/370392

Least Common Multiple of 88,46,366 with GCF Formula

Least Common Multiple of 88,46,366 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 88,46,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,46,366) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(88,46,366) x common factors =2 x 2 = 4

LCM(88,46,366) = ( 88 × 46 × 366 ) / 4

LCM(88,46,366) = 1481568 / 4

LCM(88,46,366) = 370392


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 28/88, 46/46, 989/366

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 28/88, 46/46, 989/366?

Answer: GCF of Numerators as per given numbers 28/88, 46/46, 989/366 is

GCF of Numerators i.e. for 28,46,989 is 1

LCM of denominators i.e. for 88,46,366 is 370392.

Thus, GCF of Fractions is 1/370392.Finally, GCF of Fractions for 28/88, 46/46, 989/366 is 1/370392.