How to Find GCF of 5180/315, 5008/1781?

GCF of 5180/315, 5008/1781

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 5180/315, 5008/1781 i.e 4/561015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5180/315, 5008/1781.

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 5180/315,5008/1781?

Given fractions are 5180/315,5008/1781

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 5180/315,5008/1781, numerators are 5180,5008

Denominators are 315,1781

The GCF of 5180,5008 is 4 .

LCM of 315,1781 is 561015.

The greatest common factor of 5180/315,5008/1781 = [GCF of 5180,5008]/[LCM of 315,1781]= 4/561015

Therefore, the GCF of 5180/315,5008/1781 is 4/561015.

Greatest Common Factor of 5180,5008

To find the highest common factor of 5180,5008, we have to find the factors of both numbers and list the highest common factor.

The factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180

The factors of 5008 are 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008

The HCF of 5180,5008 is 4.

Lets's calculate GCF of 5180,5008

Greatest Common Factor (GCF) of 5180,5008 By Common Division

2	5180, 5008
2	2590, 2504
	1295, 1252

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

Greatest Common Factor of 5180,5008 By Matching Biggest Common Factor Method

Now, list down the factors of 5180

1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180

Now, list down the factors of 5008

1,2,4,8,16,313,626,1252,2504,5008

Greatest Common Factor

We found the factors 5180,5008 . The biggest common factor number is the GCF number.
So the greatest common factor 5180,5008 is 4.

Lets's calculate LCM of 315,1781

Lowest Common Multiple of 315,1781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 561015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/561015

Therefore, the GCF of Fractions 5180/315,5008/1781 is 4/561015

Least Common Multiple of 315,1781 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 315,1781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,1781) = 1

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

GCF(315,1781) x common factors =1 x 1 = 1

LCM(315,1781) = ( 315 × 1781 ) / 1

LCM(315,1781) = 561015 / 1

LCM(315,1781) = 561015

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FAQs on GCF of Fractions of 5180/315, 5008/1781

1. What is the HCF of 5180,5008?

The HCF of 5180,5008 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 5180/315, 5008/1781?

Answer: GCF of Numerators as per given numbers 5180/315, 5008/1781 is

GCF of Numerators i.e. for 5180,5008 is 4

LCM of denominators i.e. for 315,1781 is 561015.

Thus, GCF of Fractions is 4/561015.Finally, GCF of Fractions for 5180/315, 5008/1781 is 4/561015.