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 205/59, 947/990

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 205/59, 947/990 i.e 1/58410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 205/59, 947/990.

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 205/59,947/990?

Given fractions are 205/59,947/990

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 205/59,947/990, numerators are 205,947

Denominators are 59,990

The GCF of 205,947 is 1 .

LCM of 59,990 is 58410.

The greatest common factor of 205/59,947/990 = [GCF of 205,947]/[LCM of 59,990]= 1/58410

Therefore, the GCF of 205/59,947/990 is 1/58410.

Greatest Common Factor of 205,947

To find the highest common factor of 205,947, we have to find the factors of both numbers and list the highest common factor.

The factors of 205 are 1, 5, 41, 205

The factors of 947 are 1, 947

The HCF of 205,947 is 1.

Lets's calculate GCF of 205,947

Greatest Common Factor (GCF) of 205,947 By Common Division

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

Greatest Common Factor of 205,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,947 By Matching Biggest Common Factor Method

Now, list down the factors of 205

:

1,5,41,205

Now, list down the factors of 947

:

1,947

Greatest Common Factor

We found the factors 205,947 . The biggest common factor number is the GCF number.
So the greatest common factor 205,947 is 1.

Lets's calculate LCM of 59,990

Lowest Common Multiple of 59,990 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 58410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58410

Therefore, the GCF of Fractions 205/59,947/990 is 1/58410

Least Common Multiple of 59,990 with GCF Formula

Least Common Multiple of 59,990 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 59,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,990) = 1

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

GCF(59,990) x common factors =1 x 1 = 1

LCM(59,990) = ( 59 × 990 ) / 1

LCM(59,990) = 58410 / 1

LCM(59,990) = 58410


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 205/59, 947/990

1. What is the HCF of 205,947?

The HCF of 205,947 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 205/59, 947/990?

Answer: GCF of Numerators as per given numbers 205/59, 947/990 is

GCF of Numerators i.e. for 205,947 is 1

LCM of denominators i.e. for 59,990 is 58410.

Thus, GCF of Fractions is 1/58410.Finally, GCF of Fractions for 205/59, 947/990 is 1/58410.