LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 986/301, 7023/329

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 986/301, 7023/329 i.e 1/14147 easily. The following is the detailed procedure to determine the greatest common factor of fractions 986/301, 7023/329.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 986/301,7023/329?

Given fractions are 986/301,7023/329

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 986/301,7023/329, numerators are 986,7023

Denominators are 301,329

The GCF of 986,7023 is 1 .

LCM of 301,329 is 14147.

The greatest common factor of 986/301,7023/329 = [GCF of 986,7023]/[LCM of 301,329]= 1/14147

Therefore, the GCF of 986/301,7023/329 is 1/14147.

Greatest Common Factor of 986,7023

To find the highest common factor of 986,7023, we have to find the factors of both numbers and list the highest common factor.

The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986

The factors of 7023 are 1, 3, 2341, 7023

The HCF of 986,7023 is 1.

Lets's calculate GCF of 986,7023

Greatest Common Factor (GCF) of 986,7023 By Common Division

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

Greatest Common Factor of 986,7023 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,7023 By Matching Biggest Common Factor Method

Now, list down the factors of 986

:

1,2,17,29,34,58,493,986

Now, list down the factors of 7023

:

1,3,2341,7023

Greatest Common Factor

We found the factors 986,7023 . The biggest common factor number is the GCF number.
So the greatest common factor 986,7023 is 1.


Lets's calculate LCM of 301,329

Lowest Common Multiple of 301,329 using Common Division

7 301, 329
43, 47

∴ So the LCM of the given numbers is 7 x 43 x 47 = 14147

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14147

Therefore, the GCF of Fractions 986/301,7023/329 is 1/14147

Least Common Multiple of 301,329 with GCF Formula

Least Common Multiple of 301,329 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 301,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,329) = 7

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

GCF(301,329) x common factors =7 x 1 = 7

LCM(301,329) = ( 301 × 329 ) / 7

LCM(301,329) = 99029 / 7

LCM(301,329) = 14147


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 986/301, 7023/329

1. What is the HCF of 986,7023?

The HCF of 986,7023 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 986/301, 7023/329?

Answer: GCF of Numerators as per given numbers 986/301, 7023/329 is

GCF of Numerators i.e. for 986,7023 is 1

LCM of denominators i.e. for 301,329 is 14147.

Thus, GCF of Fractions is 1/14147.Finally, GCF of Fractions for 986/301, 7023/329 is 1/14147.