How to Find GCF of 4125/666, 7230/2576?

GCF of 4125/666, 7230/2576

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 4125/666, 7230/2576 i.e 15/857808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4125/666, 7230/2576.

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 4125/666,7230/2576?

Given fractions are 4125/666,7230/2576

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 4125/666,7230/2576, numerators are 4125,7230

Denominators are 666,2576

The GCF of 4125,7230 is 15 .

LCM of 666,2576 is 857808.

The greatest common factor of 4125/666,7230/2576 = [GCF of 4125,7230]/[LCM of 666,2576]= 15/857808

Therefore, the GCF of 4125/666,7230/2576 is 15/857808.

Greatest Common Factor of 4125,7230

To find the highest common factor of 4125,7230, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 7230 are 1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230

The HCF of 4125,7230 is 15.

Lets's calculate GCF of 4125,7230

Greatest Common Factor (GCF) of 4125,7230 By Common Division

3	4125, 7230
5	1375, 2410
	275, 482

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

Greatest Common Factor of 4125,7230 By Matching Biggest Common Factor Method

Now, list down the factors of 4125

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

Now, list down the factors of 7230

1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230

Greatest Common Factor

We found the factors 4125,7230 . The biggest common factor number is the GCF number.
So the greatest common factor 4125,7230 is 15.

Lets's calculate LCM of 666,2576

Lowest Common Multiple of 666,2576 using Common Division

2	666, 2576
	333, 1288

∴ So the LCM of the given numbers is 2 x 333 x 1288 = 857808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/857808

Therefore, the GCF of Fractions 4125/666,7230/2576 is 15/857808

Least Common Multiple of 666,2576 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 666,2576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,2576) = 2

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

GCF(666,2576) x common factors =2 x 1 = 2

LCM(666,2576) = ( 666 × 2576 ) / 2

LCM(666,2576) = 1715616 / 2

LCM(666,2576) = 857808

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FAQs on GCF of Fractions of 4125/666, 7230/2576

1. What is the HCF of 4125,7230?

The HCF of 4125,7230 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 4125/666, 7230/2576?

Answer: GCF of Numerators as per given numbers 4125/666, 7230/2576 is

GCF of Numerators i.e. for 4125,7230 is 15

LCM of denominators i.e. for 666,2576 is 857808.

Thus, GCF of Fractions is 15/857808.Finally, GCF of Fractions for 4125/666, 7230/2576 is 15/857808.