How to Find GCF of 4087/885, 4019/708?

GCF of 4087/885, 4019/708

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 4087/885, 4019/708 i.e 1/3540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4087/885, 4019/708.

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 4087/885,4019/708?

Given fractions are 4087/885,4019/708

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 4087/885,4019/708, numerators are 4087,4019

Denominators are 885,708

The GCF of 4087,4019 is 1 .

LCM of 885,708 is 3540.

The greatest common factor of 4087/885,4019/708 = [GCF of 4087,4019]/[LCM of 885,708]= 1/3540

Therefore, the GCF of 4087/885,4019/708 is 1/3540.

Greatest Common Factor of 4087,4019

To find the highest common factor of 4087,4019, we have to find the factors of both numbers and list the highest common factor.

The factors of 4087 are 1, 61, 67, 4087

The factors of 4019 are 1, 4019

The HCF of 4087,4019 is 1.

Lets's calculate GCF of 4087,4019

Greatest Common Factor (GCF) of 4087,4019 By Common Division

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

Greatest Common Factor of 4087,4019 By Matching Biggest Common Factor Method

Now, list down the factors of 4087

1,61,67,4087

Now, list down the factors of 4019

1,4019

Greatest Common Factor

We found the factors 4087,4019 . The biggest common factor number is the GCF number.
So the greatest common factor 4087,4019 is 1.

Lets's calculate LCM of 885,708

Lowest Common Multiple of 885,708 using Common Division

3	885, 708
59	295, 236
	5, 4

∴ So the LCM of the given numbers is 3 x 59 x 5 x 4 = 3540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3540

Therefore, the GCF of Fractions 4087/885,4019/708 is 1/3540

Least Common Multiple of 885,708 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 885,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,708) = 177

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

GCF(885,708) x common factors =177 x 1 = 177

LCM(885,708) = ( 885 × 708 ) / 177

LCM(885,708) = 626580 / 177

LCM(885,708) = 3540

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4087/885, 4019/708

1. What is the HCF of 4087,4019?

The HCF of 4087,4019 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 4087/885, 4019/708?

Answer: GCF of Numerators as per given numbers 4087/885, 4019/708 is

GCF of Numerators i.e. for 4087,4019 is 1

LCM of denominators i.e. for 885,708 is 3540.

Thus, GCF of Fractions is 1/3540.Finally, GCF of Fractions for 4087/885, 4019/708 is 1/3540.