How to Find GCF of 576/600, 3800/646?

GCF of 576/600, 3800/646

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 576/600, 3800/646 i.e 8/193800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 576/600, 3800/646.

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 576/600,3800/646?

Given fractions are 576/600,3800/646

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 576/600,3800/646, numerators are 576,3800

Denominators are 600,646

The GCF of 576,3800 is 8 .

LCM of 600,646 is 193800.

The greatest common factor of 576/600,3800/646 = [GCF of 576,3800]/[LCM of 600,646]= 8/193800

Therefore, the GCF of 576/600,3800/646 is 8/193800.

Greatest Common Factor of 576,3800

To find the highest common factor of 576,3800, we have to find the factors of both numbers and list the highest common factor.

The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800

The HCF of 576,3800 is 8.

Lets's calculate GCF of 576,3800

Greatest Common Factor (GCF) of 576,3800 By Common Division

2	576, 3800
2	288, 1900
2	144, 950
	72, 475

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 576,3800 By Matching Biggest Common Factor Method

Now, list down the factors of 576

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Now, list down the factors of 3800

1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800

Greatest Common Factor

We found the factors 576,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 576,3800 is 8.

Lets's calculate LCM of 600,646

Lowest Common Multiple of 600,646 using Common Division

2	600, 646
	300, 323

∴ So the LCM of the given numbers is 2 x 300 x 323 = 193800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/193800

Therefore, the GCF of Fractions 576/600,3800/646 is 8/193800

Least Common Multiple of 600,646 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 600,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,646) = 2

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

GCF(600,646) x common factors =2 x 1 = 2

LCM(600,646) = ( 600 × 646 ) / 2

LCM(600,646) = 387600 / 2

LCM(600,646) = 193800

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FAQs on GCF of Fractions of 576/600, 3800/646

1. What is the HCF of 576,3800?

The HCF of 576,3800 is 8

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 576/600, 3800/646?

Answer: GCF of Numerators as per given numbers 576/600, 3800/646 is

GCF of Numerators i.e. for 576,3800 is 8

LCM of denominators i.e. for 600,646 is 193800.

Thus, GCF of Fractions is 8/193800.Finally, GCF of Fractions for 576/600, 3800/646 is 8/193800.