Greatest Common Factor of 706/36, 8598/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 706/36, 8598/988

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 706/36,8598/988

Given fractions are 706/36,8598/988

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 706,8598

Greatest Common Factor of Numerators i.e. GCF of 706,8598 is 2 .

LCM of Denominators means LCM of 36,988 as per the given fractions.

LCM of 36,988 is 8892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 706,8598

GCF of Fractions 706/36,8598/988 is 2/8892

2 706, 8598
353, 4299

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

Greatest Common Factor of 706,8598 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,8598 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 8598

List of positive integer factors of 8598 that divides 8598 without a remainder.

1,2,3,6,1433,2866,4299,8598

Greatest Common Factor

We found the factors 706,8598 . The biggest common factor number is the GCF number.
So the greatest common factor 706,8598 is 2.

Lets's calculate LCM of 36,988

2 36, 988
2 18, 494
9, 247

∴ So the LCM of the given numbers is 2 x 2 x 9 x 247 = 8892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8892

Therefore, the GCF of Fractions 706/36,8598/988 is 2/8892

Least Common Multiple of 36,988 with GCF Formula

Least Common Multiple of 36,988 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 36,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,988) = 4

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

GCF(36,988) x common factors =4 x 1 = 4

LCM(36,988) = ( 36 × 988 ) / 4

LCM(36,988) = 35568 / 4

LCM(36,988) = 8892


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 706/36, 8598/988

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 706/36, 8598/988?

Answer: GCF of Numerators as per given numbers 706/36, 8598/988 is

GCF of Numerators i.e. for 706,8598 is 2

LCM of denominators i.e. for 36,988 is 8892.

Thus, GCF of Fractions is 2/8892.Finally, GCF of Fractions for 706/36, 8598/988 is 2/8892.