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 890/18, 419/197

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 890/18, 419/197 i.e 1/3546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/18, 419/197.

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 890/18,419/197?

Given fractions are 890/18,419/197

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 890/18,419/197, numerators are 890,419

Denominators are 18,197

The GCF of 890,419 is 1 .

LCM of 18,197 is 3546.

The greatest common factor of 890/18,419/197 = [GCF of 890,419]/[LCM of 18,197]= 1/3546

Therefore, the GCF of 890/18,419/197 is 1/3546.

Greatest Common Factor of 890,419

To find the highest common factor of 890,419, we have to find the factors of both numbers and list the highest common factor.

The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890

The factors of 419 are 1, 419

The HCF of 890,419 is 1.

Lets's calculate GCF of 890,419

Greatest Common Factor (GCF) of 890,419 By Common Division

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

Greatest Common Factor of 890,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,419 By Matching Biggest Common Factor Method

Now, list down the factors of 890

:

1,2,5,10,89,178,445,890

Now, list down the factors of 419

:

1,419

Greatest Common Factor

We found the factors 890,419 . The biggest common factor number is the GCF number.
So the greatest common factor 890,419 is 1.

Lets's calculate LCM of 18,197

Lowest Common Multiple of 18,197 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3546

Therefore, the GCF of Fractions 890/18,419/197 is 1/3546

Least Common Multiple of 18,197 with GCF Formula

Least Common Multiple of 18,197 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 18,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,197) = 1

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

GCF(18,197) x common factors =1 x 1 = 1

LCM(18,197) = ( 18 × 197 ) / 1

LCM(18,197) = 3546 / 1

LCM(18,197) = 3546


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 890/18, 419/197

1. What is the HCF of 890,419?

The HCF of 890,419 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 890/18, 419/197?

Answer: GCF of Numerators as per given numbers 890/18, 419/197 is

GCF of Numerators i.e. for 890,419 is 1

LCM of denominators i.e. for 18,197 is 3546.

Thus, GCF of Fractions is 1/3546.Finally, GCF of Fractions for 890/18, 419/197 is 1/3546.