Greatest Common Factor of 392/30, 1706/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 392/30, 1706/989

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 392/30,1706/989

Given fractions are 392/30,1706/989

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 392,1706

Greatest Common Factor of Numerators i.e. GCF of 392,1706 is 2 .

LCM of Denominators means LCM of 30,989 as per the given fractions.

LCM of 30,989 is 29670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 392,1706

GCF of Fractions 392/30,1706/989 is 2/29670

2 392, 1706
196, 853

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 392,1706 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,1706 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 1706

List of positive integer factors of 1706 that divides 1706 without a remainder.

1,2,853,1706

Greatest Common Factor

We found the factors 392,1706 . The biggest common factor number is the GCF number.
So the greatest common factor 392,1706 is 2.

Lets's calculate LCM of 30,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 29670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29670

Therefore, the GCF of Fractions 392/30,1706/989 is 2/29670

Least Common Multiple of 30,989 with GCF Formula

Least Common Multiple of 30,989 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 30,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,989) = 1

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

GCF(30,989) x common factors =1 x 1 = 1

LCM(30,989) = ( 30 × 989 ) / 1

LCM(30,989) = 29670 / 1

LCM(30,989) = 29670


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 392/30, 1706/989

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 392/30, 1706/989?

Answer: GCF of Numerators as per given numbers 392/30, 1706/989 is

GCF of Numerators i.e. for 392,1706 is 2

LCM of denominators i.e. for 30,989 is 29670.

Thus, GCF of Fractions is 2/29670.Finally, GCF of Fractions for 392/30, 1706/989 is 2/29670.