How to Find GCF of 646/957, 118/870, 173/194?

GCF of 646/957, 118/870, 173/194

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 646/957, 118/870, 173/194 i.e 1/928290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 646/957, 118/870, 173/194.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 646/957,118/870,173/194?

Given fractions are 646/957,118/870,173/194

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 646/957,118/870,173/194, numerators are 646,118,173

Denominators are 957,870,194

The GCF of 646,118,173 is 1 .

LCM of 957,870,194 is 928290.

The greatest common factor of 646/957,118/870,173/194 = [GCF of 646,118,173]/[LCM of 957,870,194]= 1/928290

Therefore, the GCF of 646/957,118/870,173/194 is 1/928290.

Greatest Common Factor of 646,118,173

To find the highest common factor of 646,118,173, we have to find the factors of both numbers and list the highest common factor.

The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646

The factors of 118 are 1, 2, 59, 118

The factors of 173 are 1, 173

The HCF of 646,118,173 is 1.

Lets's calculate GCF of 646,118,173

Greatest Common Factor (GCF) of 646,118,173 By Common Division

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

Greatest Common Factor of 646,118,173 By Matching Biggest Common Factor Method

Now, list down the factors of 646

1,2,17,19,34,38,323,646

Now, list down the factors of 118

1,2,59,118

Now, list down the factors of 173

1,173

Greatest Common Factor

We found the factors 646,118,173 . The biggest common factor number is the GCF number.
So the greatest common factor 646,118,173 is 1.

Lets's calculate LCM of 957,870,194

Lowest Common Multiple of 957,870,194 using Common Division

2	957, 870, 194
3	957, 435, 97
29	319, 145, 97
	11, 5, 97

∴ So the LCM of the given numbers is 2 x 3 x 29 x 11 x 5 x 97 = 928290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/928290

Therefore, the GCF of Fractions 646/957,118/870,173/194 is 1/928290

Least Common Multiple of 957,870,194 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 957,870,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,870,194) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(957,870,194) x common factors =1 x 174 = 174

LCM(957,870,194) = ( 957 × 870 × 194 ) / 174

LCM(957,870,194) = 161522460 / 174

LCM(957,870,194) = 928290

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 646/957, 118/870, 173/194

1. What is the HCF of 646,118,173?

The HCF of 646,118,173 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 646/957, 118/870, 173/194?

Answer: GCF of Numerators as per given numbers 646/957, 118/870, 173/194 is

GCF of Numerators i.e. for 646,118,173 is 1

LCM of denominators i.e. for 957,870,194 is 928290.

Thus, GCF of Fractions is 1/928290.Finally, GCF of Fractions for 646/957, 118/870, 173/194 is 1/928290.