How to Find GCF of 3777/352, 4559/8020?

GCF of 3777/352, 4559/8020

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 3777/352, 4559/8020 i.e 1/705760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3777/352, 4559/8020.

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 3777/352,4559/8020?

Given fractions are 3777/352,4559/8020

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 3777/352,4559/8020, numerators are 3777,4559

Denominators are 352,8020

The GCF of 3777,4559 is 1 .

LCM of 352,8020 is 705760.

The greatest common factor of 3777/352,4559/8020 = [GCF of 3777,4559]/[LCM of 352,8020]= 1/705760

Therefore, the GCF of 3777/352,4559/8020 is 1/705760.

Greatest Common Factor of 3777,4559

To find the highest common factor of 3777,4559, we have to find the factors of both numbers and list the highest common factor.

The factors of 3777 are 1, 3, 1259, 3777

The factors of 4559 are 1, 47, 97, 4559

The HCF of 3777,4559 is 1.

Lets's calculate GCF of 3777,4559

Greatest Common Factor (GCF) of 3777,4559 By Common Division

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

Greatest Common Factor of 3777,4559 By Matching Biggest Common Factor Method

Now, list down the factors of 3777

1,3,1259,3777

Now, list down the factors of 4559

1,47,97,4559

Greatest Common Factor

We found the factors 3777,4559 . The biggest common factor number is the GCF number.
So the greatest common factor 3777,4559 is 1.

Lets's calculate LCM of 352,8020

Lowest Common Multiple of 352,8020 using Common Division

2	352, 8020
2	176, 4010
	88, 2005

∴ So the LCM of the given numbers is 2 x 2 x 88 x 2005 = 705760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/705760

Therefore, the GCF of Fractions 3777/352,4559/8020 is 1/705760

Least Common Multiple of 352,8020 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 352,8020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,8020) = 4

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

GCF(352,8020) x common factors =4 x 1 = 4

LCM(352,8020) = ( 352 × 8020 ) / 4

LCM(352,8020) = 2823040 / 4

LCM(352,8020) = 705760

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FAQs on GCF of Fractions of 3777/352, 4559/8020

1. What is the HCF of 3777,4559?

The HCF of 3777,4559 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 3777/352, 4559/8020?

Answer: GCF of Numerators as per given numbers 3777/352, 4559/8020 is

GCF of Numerators i.e. for 3777,4559 is 1

LCM of denominators i.e. for 352,8020 is 705760.

Thus, GCF of Fractions is 1/705760.Finally, GCF of Fractions for 3777/352, 4559/8020 is 1/705760.