How to Find GCF of 7170/299, 4125/468?

GCF of 7170/299, 4125/468

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 7170/299, 4125/468 i.e 15/10764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7170/299, 4125/468.

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 7170/299,4125/468?

Given fractions are 7170/299,4125/468

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 7170/299,4125/468, numerators are 7170,4125

Denominators are 299,468

The GCF of 7170,4125 is 15 .

LCM of 299,468 is 10764.

The greatest common factor of 7170/299,4125/468 = [GCF of 7170,4125]/[LCM of 299,468]= 15/10764

Therefore, the GCF of 7170/299,4125/468 is 15/10764.

Greatest Common Factor of 7170,4125

To find the highest common factor of 7170,4125, we have to find the factors of both numbers and list the highest common factor.

The factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170

The factors of 4125 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125

The HCF of 7170,4125 is 15.

Lets's calculate GCF of 7170,4125

Greatest Common Factor (GCF) of 7170,4125 By Common Division

3	7170, 4125
5	2390, 1375
	478, 275

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 7170,4125 By Matching Biggest Common Factor Method

Now, list down the factors of 7170

1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170

Now, list down the factors of 4125

1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125

Greatest Common Factor

We found the factors 7170,4125 . The biggest common factor number is the GCF number.
So the greatest common factor 7170,4125 is 15.

Lets's calculate LCM of 299,468

Lowest Common Multiple of 299,468 using Common Division

13	299, 468
	23, 36

∴ So the LCM of the given numbers is 13 x 23 x 36 = 10764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/10764

Therefore, the GCF of Fractions 7170/299,4125/468 is 15/10764

Least Common Multiple of 299,468 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 299,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,468) = 13

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

GCF(299,468) x common factors =13 x 1 = 13

LCM(299,468) = ( 299 × 468 ) / 13

LCM(299,468) = 139932 / 13

LCM(299,468) = 10764

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FAQs on GCF of Fractions of 7170/299, 4125/468

1. What is the HCF of 7170,4125?

The HCF of 7170,4125 is 15

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 7170/299, 4125/468?

Answer: GCF of Numerators as per given numbers 7170/299, 4125/468 is

GCF of Numerators i.e. for 7170,4125 is 15

LCM of denominators i.e. for 299,468 is 10764.

Thus, GCF of Fractions is 15/10764.Finally, GCF of Fractions for 7170/299, 4125/468 is 15/10764.