How to Find GCF of 3987/360, 1619/8540?

GCF of 3987/360, 1619/8540

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 3987/360, 1619/8540 i.e 1/153720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3987/360, 1619/8540.

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 3987/360,1619/8540?

Given fractions are 3987/360,1619/8540

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 3987/360,1619/8540, numerators are 3987,1619

Denominators are 360,8540

The GCF of 3987,1619 is 1 .

LCM of 360,8540 is 153720.

The greatest common factor of 3987/360,1619/8540 = [GCF of 3987,1619]/[LCM of 360,8540]= 1/153720

Therefore, the GCF of 3987/360,1619/8540 is 1/153720.

Greatest Common Factor of 3987,1619

To find the highest common factor of 3987,1619, we have to find the factors of both numbers and list the highest common factor.

The factors of 3987 are 1, 3, 9, 443, 1329, 3987

The factors of 1619 are 1, 1619

The HCF of 3987,1619 is 1.

Lets's calculate GCF of 3987,1619

Greatest Common Factor (GCF) of 3987,1619 By Common Division

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

Greatest Common Factor of 3987,1619 By Matching Biggest Common Factor Method

Now, list down the factors of 3987

1,3,9,443,1329,3987

Now, list down the factors of 1619

1,1619

Greatest Common Factor

We found the factors 3987,1619 . The biggest common factor number is the GCF number.
So the greatest common factor 3987,1619 is 1.

Lets's calculate LCM of 360,8540

Lowest Common Multiple of 360,8540 using Common Division

2	360, 8540
2	180, 4270
5	90, 2135
	18, 427

∴ So the LCM of the given numbers is 2 x 2 x 5 x 18 x 427 = 153720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153720

Therefore, the GCF of Fractions 3987/360,1619/8540 is 1/153720

Least Common Multiple of 360,8540 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 360,8540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,8540) = 20

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

GCF(360,8540) x common factors =20 x 1 = 20

LCM(360,8540) = ( 360 × 8540 ) / 20

LCM(360,8540) = 3074400 / 20

LCM(360,8540) = 153720

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FAQs on GCF of Fractions of 3987/360, 1619/8540

1. What is the HCF of 3987,1619?

The HCF of 3987,1619 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 3987/360, 1619/8540?

Answer: GCF of Numerators as per given numbers 3987/360, 1619/8540 is

GCF of Numerators i.e. for 3987,1619 is 1

LCM of denominators i.e. for 360,8540 is 153720.

Thus, GCF of Fractions is 1/153720.Finally, GCF of Fractions for 3987/360, 1619/8540 is 1/153720.