How to Find GCF of 4173/670, 5170/5080?

GCF of 4173/670, 5170/5080

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 4173/670, 5170/5080 i.e 1/340360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4173/670, 5170/5080.

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 4173/670,5170/5080?

Given fractions are 4173/670,5170/5080

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 4173/670,5170/5080, numerators are 4173,5170

Denominators are 670,5080

The GCF of 4173,5170 is 1 .

LCM of 670,5080 is 340360.

The greatest common factor of 4173/670,5170/5080 = [GCF of 4173,5170]/[LCM of 670,5080]= 1/340360

Therefore, the GCF of 4173/670,5170/5080 is 1/340360.

Greatest Common Factor of 4173,5170

To find the highest common factor of 4173,5170, we have to find the factors of both numbers and list the highest common factor.

The factors of 4173 are 1, 3, 13, 39, 107, 321, 1391, 4173

The factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170

The HCF of 4173,5170 is 1.

Lets's calculate GCF of 4173,5170

Greatest Common Factor (GCF) of 4173,5170 By Common Division

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

Greatest Common Factor of 4173,5170 By Matching Biggest Common Factor Method

Now, list down the factors of 4173

1,3,13,39,107,321,1391,4173

Now, list down the factors of 5170

1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170

Greatest Common Factor

We found the factors 4173,5170 . The biggest common factor number is the GCF number.
So the greatest common factor 4173,5170 is 1.

Lets's calculate LCM of 670,5080

Lowest Common Multiple of 670,5080 using Common Division

2	670, 5080
5	335, 2540
	67, 508

∴ So the LCM of the given numbers is 2 x 5 x 67 x 508 = 340360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340360

Therefore, the GCF of Fractions 4173/670,5170/5080 is 1/340360

Least Common Multiple of 670,5080 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 670,5080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,5080) = 10

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

GCF(670,5080) x common factors =10 x 1 = 10

LCM(670,5080) = ( 670 × 5080 ) / 10

LCM(670,5080) = 3403600 / 10

LCM(670,5080) = 340360

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4173/670, 5170/5080

1. What is the HCF of 4173,5170?

The HCF of 4173,5170 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 4173/670, 5170/5080?

Answer: GCF of Numerators as per given numbers 4173/670, 5170/5080 is

GCF of Numerators i.e. for 4173,5170 is 1

LCM of denominators i.e. for 670,5080 is 340360.

Thus, GCF of Fractions is 1/340360.Finally, GCF of Fractions for 4173/670, 5170/5080 is 1/340360.