How to Find GCF of 5020/158, 5916/7982?

GCF of 5020/158, 5916/7982

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 5020/158, 5916/7982 i.e 4/630578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5020/158, 5916/7982.

Enter two or more fractions separated by "commas"

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

What is the GCF of 5020/158,5916/7982?

Given fractions are 5020/158,5916/7982

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 5020/158,5916/7982, numerators are 5020,5916

Denominators are 158,7982

The GCF of 5020,5916 is 4 .

LCM of 158,7982 is 630578.

The greatest common factor of 5020/158,5916/7982 = [GCF of 5020,5916]/[LCM of 158,7982]= 4/630578

Therefore, the GCF of 5020/158,5916/7982 is 4/630578.

Greatest Common Factor of 5020,5916

To find the highest common factor of 5020,5916, we have to find the factors of both numbers and list the highest common factor.

The factors of 5020 are 1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020

The factors of 5916 are 1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958, 5916

The HCF of 5020,5916 is 4.

Lets's calculate GCF of 5020,5916

Greatest Common Factor (GCF) of 5020,5916 By Common Division

2	5020, 5916
2	2510, 2958
	1255, 1479

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5020,5916 By Matching Biggest Common Factor Method

Now, list down the factors of 5020

1,2,4,5,10,20,251,502,1004,1255,2510,5020

Now, list down the factors of 5916

1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916

Greatest Common Factor

We found the factors 5020,5916 . The biggest common factor number is the GCF number.
So the greatest common factor 5020,5916 is 4.

Lets's calculate LCM of 158,7982

Lowest Common Multiple of 158,7982 using Common Division

2	158, 7982
	79, 3991

∴ So the LCM of the given numbers is 2 x 79 x 3991 = 630578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/630578

Therefore, the GCF of Fractions 5020/158,5916/7982 is 4/630578

Least Common Multiple of 158,7982 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 158,7982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,7982) = 2

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

GCF(158,7982) x common factors =2 x 1 = 2

LCM(158,7982) = ( 158 × 7982 ) / 2

LCM(158,7982) = 1261156 / 2

LCM(158,7982) = 630578

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5020/158, 5916/7982

1. What is the HCF of 5020,5916?

The HCF of 5020,5916 is 4

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 5020/158, 5916/7982?

Answer: GCF of Numerators as per given numbers 5020/158, 5916/7982 is

GCF of Numerators i.e. for 5020,5916 is 4

LCM of denominators i.e. for 158,7982 is 630578.

Thus, GCF of Fractions is 4/630578.Finally, GCF of Fractions for 5020/158, 5916/7982 is 4/630578.