Greatest Common Factor of 1/89, 88/89, 49/882, 363/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/89, 88/89, 49/882, 363/258

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 1/89,88/89,49/882,363/258

Given fractions are 1/89,88/89,49/882,363/258

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 1,88,49,363

Greatest Common Factor of Numerators i.e. GCF of 1,88,49,363 is 1 .

LCM of Denominators means LCM of 89,89,882,258 as per the given fractions.

LCM of 89,89,882,258 is 3375414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,88,49,363

GCF of Fractions 1/89,88/89,49/882,363/258 is 1/3375414

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

Greatest Common Factor of 1,88,49,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,88,49,363 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 1,88,49,363 . The biggest common factor number is the GCF number.
So the greatest common factor 1,88,49,363 is 1.

Lets's calculate LCM of 89,89,882,258

2 89, 89, 882, 258
3 89, 89, 441, 129
89 89, 89, 147, 43
1, 1, 147, 43

∴ So the LCM of the given numbers is 2 x 3 x 89 x 1 x 1 x 147 x 43 = 3375414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3375414

Therefore, the GCF of Fractions 1/89,88/89,49/882,363/258 is 1/3375414

Least Common Multiple of 89,89,882,258 with GCF Formula

Least Common Multiple of 89,89,882,258 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 89,89,882,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,89,882,258) = 1

common factors(in case of two or more numbers have common factors) = 534

GCF(89,89,882,258) x common factors =1 x 534 = 534

LCM(89,89,882,258) = ( 89 × 89 × 882 × 258 ) / 534

LCM(89,89,882,258) = 1802471076 / 534

LCM(89,89,882,258) = 3375414


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 1/89, 88/89, 49/882, 363/258

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 1/89, 88/89, 49/882, 363/258?

Answer: GCF of Numerators as per given numbers 1/89, 88/89, 49/882, 363/258 is

GCF of Numerators i.e. for 1,88,49,363 is 1

LCM of denominators i.e. for 89,89,882,258 is 3375414.

Thus, GCF of Fractions is 1/3375414.Finally, GCF of Fractions for 1/89, 88/89, 49/882, 363/258 is 1/3375414.