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GCF of 959/143, 6020/5014

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 959/143, 6020/5014 i.e 7/717002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 959/143, 6020/5014.

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 959/143,6020/5014?

Given fractions are 959/143,6020/5014

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 959/143,6020/5014, numerators are 959,6020

Denominators are 143,5014

The GCF of 959,6020 is 7 .

LCM of 143,5014 is 717002.

The greatest common factor of 959/143,6020/5014 = [GCF of 959,6020]/[LCM of 143,5014]= 7/717002

Therefore, the GCF of 959/143,6020/5014 is 7/717002.

Greatest Common Factor of 959,6020

To find the highest common factor of 959,6020, we have to find the factors of both numbers and list the highest common factor.

The factors of 959 are 1, 7, 137, 959

The factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020

The HCF of 959,6020 is 7.

Lets's calculate GCF of 959,6020

Greatest Common Factor (GCF) of 959,6020 By Common Division

7 959, 6020
137, 860

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 959,6020 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,6020 By Matching Biggest Common Factor Method

Now, list down the factors of 959

:

1,7,137,959

Now, list down the factors of 6020

:

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

Greatest Common Factor

We found the factors 959,6020 . The biggest common factor number is the GCF number.
So the greatest common factor 959,6020 is 7.


Lets's calculate LCM of 143,5014

Lowest Common Multiple of 143,5014 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 717002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/717002

Therefore, the GCF of Fractions 959/143,6020/5014 is 7/717002

Least Common Multiple of 143,5014 with GCF Formula

Least Common Multiple of 143,5014 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 143,5014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,5014) = 1

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

GCF(143,5014) x common factors =1 x 1 = 1

LCM(143,5014) = ( 143 × 5014 ) / 1

LCM(143,5014) = 717002 / 1

LCM(143,5014) = 717002


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 959/143, 6020/5014

1. What is the HCF of 959,6020?

The HCF of 959,6020 is 7

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 959/143, 6020/5014?

Answer: GCF of Numerators as per given numbers 959/143, 6020/5014 is

GCF of Numerators i.e. for 959,6020 is 7

LCM of denominators i.e. for 143,5014 is 717002.

Thus, GCF of Fractions is 7/717002.Finally, GCF of Fractions for 959/143, 6020/5014 is 7/717002.