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 398/92, 597/687

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 398/92, 597/687 i.e 199/63204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 398/92, 597/687.

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 398/92,597/687?

Given fractions are 398/92,597/687

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 398/92,597/687, numerators are 398,597

Denominators are 92,687

The GCF of 398,597 is 199 .

LCM of 92,687 is 63204.

The greatest common factor of 398/92,597/687 = [GCF of 398,597]/[LCM of 92,687]= 199/63204

Therefore, the GCF of 398/92,597/687 is 199/63204.

Greatest Common Factor of 398,597

To find the highest common factor of 398,597, we have to find the factors of both numbers and list the highest common factor.

The factors of 398 are 1, 2, 199, 398

The factors of 597 are 1, 3, 199, 597

The HCF of 398,597 is 199.

Lets's calculate GCF of 398,597

Greatest Common Factor (GCF) of 398,597 By Common Division

199 398, 597
2, 3

∴ So the GCF of the given numbers is 199 = 199

Greatest Common Factor of 398,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,597 By Matching Biggest Common Factor Method

Now, list down the factors of 398

:

1,2,199,398

Now, list down the factors of 597

:

1,3,199,597

Greatest Common Factor

We found the factors 398,597 . The biggest common factor number is the GCF number.
So the greatest common factor 398,597 is 199.

Lets's calculate LCM of 92,687

Lowest Common Multiple of 92,687 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 63204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 199/63204

Therefore, the GCF of Fractions 398/92,597/687 is 199/63204

Least Common Multiple of 92,687 with GCF Formula

Least Common Multiple of 92,687 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 92,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,687) = 1

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

GCF(92,687) x common factors =1 x 1 = 1

LCM(92,687) = ( 92 × 687 ) / 1

LCM(92,687) = 63204 / 1

LCM(92,687) = 63204


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 398/92, 597/687

1. What is the HCF of 398,597?

The HCF of 398,597 is 199

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 398/92, 597/687?

Answer: GCF of Numerators as per given numbers 398/92, 597/687 is

GCF of Numerators i.e. for 398,597 is 199

LCM of denominators i.e. for 92,687 is 63204.

Thus, GCF of Fractions is 199/63204.Finally, GCF of Fractions for 398/92, 597/687 is 199/63204.