Greatest Common Factor of 170/632, 1340/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/632, 1340/986

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 170/632,1340/986

Given fractions are 170/632,1340/986

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 170,1340

Greatest Common Factor of Numerators i.e. GCF of 170,1340 is 10 .

LCM of Denominators means LCM of 632,986 as per the given fractions.

LCM of 632,986 is 311576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,1340

GCF of Fractions 170/632,1340/986 is 10/311576

2 170, 1340
5 85, 670
17, 134

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 170,1340 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,1340 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1,2,4,5,10,20,67,134,268,335,670,1340

Greatest Common Factor

We found the factors 170,1340 . The biggest common factor number is the GCF number.
So the greatest common factor 170,1340 is 10.

Lets's calculate LCM of 632,986

2 632, 986
316, 493

∴ So the LCM of the given numbers is 2 x 316 x 493 = 311576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/311576

Therefore, the GCF of Fractions 170/632,1340/986 is 10/311576

Least Common Multiple of 632,986 with GCF Formula

Least Common Multiple of 632,986 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 632,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,986) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(632,986) x common factors =2 x 1 = 2

LCM(632,986) = ( 632 × 986 ) / 2

LCM(632,986) = 623152 / 2

LCM(632,986) = 311576


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 170/632, 1340/986

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 170/632, 1340/986?

Answer: GCF of Numerators as per given numbers 170/632, 1340/986 is

GCF of Numerators i.e. for 170,1340 is 10

LCM of denominators i.e. for 632,986 is 311576.

Thus, GCF of Fractions is 10/311576.Finally, GCF of Fractions for 170/632, 1340/986 is 10/311576.