How to Find GCF of 3795/600, 7768/372?

GCF of 3795/600, 7768/372

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 3795/600, 7768/372 i.e 1/18600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3795/600, 7768/372.

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 3795/600,7768/372?

Given fractions are 3795/600,7768/372

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 3795/600,7768/372, numerators are 3795,7768

Denominators are 600,372

The GCF of 3795,7768 is 1 .

LCM of 600,372 is 18600.

The greatest common factor of 3795/600,7768/372 = [GCF of 3795,7768]/[LCM of 600,372]= 1/18600

Therefore, the GCF of 3795/600,7768/372 is 1/18600.

Greatest Common Factor of 3795,7768

To find the highest common factor of 3795,7768, we have to find the factors of both numbers and list the highest common factor.

The factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795

The factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768

The HCF of 3795,7768 is 1.

Lets's calculate GCF of 3795,7768

Greatest Common Factor (GCF) of 3795,7768 By Common Division

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

Greatest Common Factor of 3795,7768 By Matching Biggest Common Factor Method

Now, list down the factors of 3795

1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795

Now, list down the factors of 7768

1,2,4,8,971,1942,3884,7768

Greatest Common Factor

We found the factors 3795,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 3795,7768 is 1.

Lets's calculate LCM of 600,372

Lowest Common Multiple of 600,372 using Common Division

2	600, 372
2	300, 186
3	150, 93
	50, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 50 x 31 = 18600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18600

Therefore, the GCF of Fractions 3795/600,7768/372 is 1/18600

Least Common Multiple of 600,372 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 600,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,372) = 12

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

GCF(600,372) x common factors =12 x 1 = 12

LCM(600,372) = ( 600 × 372 ) / 12

LCM(600,372) = 223200 / 12

LCM(600,372) = 18600

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FAQs on GCF of Fractions of 3795/600, 7768/372

1. What is the HCF of 3795,7768?

The HCF of 3795,7768 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 3795/600, 7768/372?

Answer: GCF of Numerators as per given numbers 3795/600, 7768/372 is

GCF of Numerators i.e. for 3795,7768 is 1

LCM of denominators i.e. for 600,372 is 18600.

Thus, GCF of Fractions is 1/18600.Finally, GCF of Fractions for 3795/600, 7768/372 is 1/18600.