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 9929/928, 3117/738

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 9929/928, 3117/738 i.e 1/342432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9929/928, 3117/738.

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 9929/928,3117/738?

Given fractions are 9929/928,3117/738

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 9929/928,3117/738, numerators are 9929,3117

Denominators are 928,738

The GCF of 9929,3117 is 1 .

LCM of 928,738 is 342432.

The greatest common factor of 9929/928,3117/738 = [GCF of 9929,3117]/[LCM of 928,738]= 1/342432

Therefore, the GCF of 9929/928,3117/738 is 1/342432.

Greatest Common Factor of 9929,3117

To find the highest common factor of 9929,3117, we have to find the factors of both numbers and list the highest common factor.

The factors of 9929 are 1, 9929

The factors of 3117 are 1, 3, 1039, 3117

The HCF of 9929,3117 is 1.

Lets's calculate GCF of 9929,3117

Greatest Common Factor (GCF) of 9929,3117 By Common Division

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

Greatest Common Factor of 9929,3117 By Matching Biggest Common Factor Method

Greatest Common Factor of 9929,3117 By Matching Biggest Common Factor Method

Now, list down the factors of 9929

:

1,9929

Now, list down the factors of 3117

:

1,3,1039,3117

Greatest Common Factor

We found the factors 9929,3117 . The biggest common factor number is the GCF number.
So the greatest common factor 9929,3117 is 1.

Lets's calculate LCM of 928,738

Lowest Common Multiple of 928,738 using Common Division

2 928, 738
464, 369

∴ So the LCM of the given numbers is 2 x 464 x 369 = 342432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342432

Therefore, the GCF of Fractions 9929/928,3117/738 is 1/342432

Least Common Multiple of 928,738 with GCF Formula

Least Common Multiple of 928,738 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 928,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,738) = 2

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

GCF(928,738) x common factors =2 x 1 = 2

LCM(928,738) = ( 928 × 738 ) / 2

LCM(928,738) = 684864 / 2

LCM(928,738) = 342432


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9929/928, 3117/738

1. What is the HCF of 9929,3117?

The HCF of 9929,3117 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 9929/928, 3117/738?

Answer: GCF of Numerators as per given numbers 9929/928, 3117/738 is

GCF of Numerators i.e. for 9929,3117 is 1

LCM of denominators i.e. for 928,738 is 342432.

Thus, GCF of Fractions is 1/342432.Finally, GCF of Fractions for 9929/928, 3117/738 is 1/342432.