LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 186/85, 886/422

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 186/85, 886/422 i.e 2/35870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 186/85, 886/422.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 186/85,886/422?

Given fractions are 186/85,886/422

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 186/85,886/422, numerators are 186,886

Denominators are 85,422

The GCF of 186,886 is 2 .

LCM of 85,422 is 35870.

The greatest common factor of 186/85,886/422 = [GCF of 186,886]/[LCM of 85,422]= 2/35870

Therefore, the GCF of 186/85,886/422 is 2/35870.

Greatest Common Factor of 186,886

To find the highest common factor of 186,886, we have to find the factors of both numbers and list the highest common factor.

The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186

The factors of 886 are 1, 2, 443, 886

The HCF of 186,886 is 2.

Lets's calculate GCF of 186,886

Greatest Common Factor (GCF) of 186,886 By Common Division

2 186, 886
93, 443

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 186,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,886 By Matching Biggest Common Factor Method

Now, list down the factors of 186

:

1,2,3,6,31,62,93,186

Now, list down the factors of 886

:

1,2,443,886

Greatest Common Factor

We found the factors 186,886 . The biggest common factor number is the GCF number.
So the greatest common factor 186,886 is 2.

Lets's calculate LCM of 85,422

Lowest Common Multiple of 85,422 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 35870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35870

Therefore, the GCF of Fractions 186/85,886/422 is 2/35870

Least Common Multiple of 85,422 with GCF Formula

Least Common Multiple of 85,422 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 85,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,422) = 1

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

GCF(85,422) x common factors =1 x 1 = 1

LCM(85,422) = ( 85 × 422 ) / 1

LCM(85,422) = 35870 / 1

LCM(85,422) = 35870


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 186/85, 886/422

1. What is the HCF of 186,886?

The HCF of 186,886 is 2

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 186/85, 886/422?

Answer: GCF of Numerators as per given numbers 186/85, 886/422 is

GCF of Numerators i.e. for 186,886 is 2

LCM of denominators i.e. for 85,422 is 35870.

Thus, GCF of Fractions is 2/35870.Finally, GCF of Fractions for 186/85, 886/422 is 2/35870.