Greatest Common Factor of 97/416, 28/352, 553/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/416, 28/352, 553/162

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 97/416,28/352,553/162

Given fractions are 97/416,28/352,553/162

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 97,28,553

Greatest Common Factor of Numerators i.e. GCF of 97,28,553 is 1 .

LCM of Denominators means LCM of 416,352,162 as per the given fractions.

LCM of 416,352,162 is 370656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,28,553

GCF of Fractions 97/416,28/352,553/162 is 1/370656

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

Greatest Common Factor of 97,28,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,28,553 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 28

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

1,2,4,7,14,28

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 97,28,553 . The biggest common factor number is the GCF number.
So the greatest common factor 97,28,553 is 1.

Lets's calculate LCM of 416,352,162

2 416, 352, 162
2 208, 176, 81
2 104, 88, 81
2 52, 44, 81
2 26, 22, 81
13, 11, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 11 x 81 = 370656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370656

Therefore, the GCF of Fractions 97/416,28/352,553/162 is 1/370656

Least Common Multiple of 416,352,162 with GCF Formula

Least Common Multiple of 416,352,162 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 416,352,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,352,162) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(416,352,162) x common factors =2 x 32 = 64

LCM(416,352,162) = ( 416 × 352 × 162 ) / 64

LCM(416,352,162) = 23721984 / 64

LCM(416,352,162) = 370656


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 97/416, 28/352, 553/162

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 97/416, 28/352, 553/162?

Answer: GCF of Numerators as per given numbers 97/416, 28/352, 553/162 is

GCF of Numerators i.e. for 97,28,553 is 1

LCM of denominators i.e. for 416,352,162 is 370656.

Thus, GCF of Fractions is 1/370656.Finally, GCF of Fractions for 97/416, 28/352, 553/162 is 1/370656.