How to Find GCF of 5861/186, 8857/1355?

GCF of 5861/186, 8857/1355

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 5861/186, 8857/1355 i.e 1/252030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5861/186, 8857/1355.

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 5861/186,8857/1355?

Given fractions are 5861/186,8857/1355

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 5861/186,8857/1355, numerators are 5861,8857

Denominators are 186,1355

The GCF of 5861,8857 is 1 .

LCM of 186,1355 is 252030.

The greatest common factor of 5861/186,8857/1355 = [GCF of 5861,8857]/[LCM of 186,1355]= 1/252030

Therefore, the GCF of 5861/186,8857/1355 is 1/252030.

Greatest Common Factor of 5861,8857

To find the highest common factor of 5861,8857, we have to find the factors of both numbers and list the highest common factor.

The factors of 5861 are 1, 5861

The factors of 8857 are 1, 17, 521, 8857

The HCF of 5861,8857 is 1.

Lets's calculate GCF of 5861,8857

Greatest Common Factor (GCF) of 5861,8857 By Common Division

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

Greatest Common Factor of 5861,8857 By Matching Biggest Common Factor Method

Now, list down the factors of 5861

1,5861

Now, list down the factors of 8857

1,17,521,8857

Greatest Common Factor

We found the factors 5861,8857 . The biggest common factor number is the GCF number.
So the greatest common factor 5861,8857 is 1.

Lets's calculate LCM of 186,1355

Lowest Common Multiple of 186,1355 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 252030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252030

Therefore, the GCF of Fractions 5861/186,8857/1355 is 1/252030

Least Common Multiple of 186,1355 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 186,1355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,1355) = 1

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

GCF(186,1355) x common factors =1 x 1 = 1

LCM(186,1355) = ( 186 × 1355 ) / 1

LCM(186,1355) = 252030 / 1

LCM(186,1355) = 252030

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FAQs on GCF of Fractions of 5861/186, 8857/1355

1. What is the HCF of 5861,8857?

The HCF of 5861,8857 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 5861/186, 8857/1355?

Answer: GCF of Numerators as per given numbers 5861/186, 8857/1355 is

GCF of Numerators i.e. for 5861,8857 is 1

LCM of denominators i.e. for 186,1355 is 252030.

Thus, GCF of Fractions is 1/252030.Finally, GCF of Fractions for 5861/186, 8857/1355 is 1/252030.