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 9371/920, 3631/8890

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 9371/920, 3631/8890 i.e 1/817880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9371/920, 3631/8890.

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 9371/920,3631/8890?

Given fractions are 9371/920,3631/8890

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 9371/920,3631/8890, numerators are 9371,3631

Denominators are 920,8890

The GCF of 9371,3631 is 1 .

LCM of 920,8890 is 817880.

The greatest common factor of 9371/920,3631/8890 = [GCF of 9371,3631]/[LCM of 920,8890]= 1/817880

Therefore, the GCF of 9371/920,3631/8890 is 1/817880.

Greatest Common Factor of 9371,3631

To find the highest common factor of 9371,3631, we have to find the factors of both numbers and list the highest common factor.

The factors of 9371 are 1, 9371

The factors of 3631 are 1, 3631

The HCF of 9371,3631 is 1.

Lets's calculate GCF of 9371,3631

Greatest Common Factor (GCF) of 9371,3631 By Common Division

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

Greatest Common Factor of 9371,3631 By Matching Biggest Common Factor Method

Greatest Common Factor of 9371,3631 By Matching Biggest Common Factor Method

Now, list down the factors of 9371

:

1,9371

Now, list down the factors of 3631

:

1,3631

Greatest Common Factor

We found the factors 9371,3631 . The biggest common factor number is the GCF number.
So the greatest common factor 9371,3631 is 1.

Lets's calculate LCM of 920,8890

Lowest Common Multiple of 920,8890 using Common Division

2 920, 8890
5 460, 4445
92, 889

∴ So the LCM of the given numbers is 2 x 5 x 92 x 889 = 817880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/817880

Therefore, the GCF of Fractions 9371/920,3631/8890 is 1/817880

Least Common Multiple of 920,8890 with GCF Formula

Least Common Multiple of 920,8890 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 920,8890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,8890) = 10

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

GCF(920,8890) x common factors =10 x 1 = 10

LCM(920,8890) = ( 920 × 8890 ) / 10

LCM(920,8890) = 8178800 / 10

LCM(920,8890) = 817880


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9371/920, 3631/8890

1. What is the HCF of 9371,3631?

The HCF of 9371,3631 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 9371/920, 3631/8890?

Answer: GCF of Numerators as per given numbers 9371/920, 3631/8890 is

GCF of Numerators i.e. for 9371,3631 is 1

LCM of denominators i.e. for 920,8890 is 817880.

Thus, GCF of Fractions is 1/817880.Finally, GCF of Fractions for 9371/920, 3631/8890 is 1/817880.