How to Find GCF of 9133/945, 6042/9388?

GCF of 9133/945, 6042/9388

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 9133/945, 6042/9388 i.e 1/8871660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9133/945, 6042/9388.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9133/945,6042/9388?

Given fractions are 9133/945,6042/9388

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 9133/945,6042/9388, numerators are 9133,6042

Denominators are 945,9388

The GCF of 9133,6042 is 1 .

LCM of 945,9388 is 8871660.

The greatest common factor of 9133/945,6042/9388 = [GCF of 9133,6042]/[LCM of 945,9388]= 1/8871660

Therefore, the GCF of 9133/945,6042/9388 is 1/8871660.

Greatest Common Factor of 9133,6042

To find the highest common factor of 9133,6042, we have to find the factors of both numbers and list the highest common factor.

The factors of 9133 are 1, 9133

The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042

The HCF of 9133,6042 is 1.

Lets's calculate GCF of 9133,6042

Greatest Common Factor (GCF) of 9133,6042 By Common Division

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

Greatest Common Factor of 9133,6042 By Matching Biggest Common Factor Method

Now, list down the factors of 9133

1,9133

Now, list down the factors of 6042

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Greatest Common Factor

We found the factors 9133,6042 . The biggest common factor number is the GCF number.
So the greatest common factor 9133,6042 is 1.

Lets's calculate LCM of 945,9388

Lowest Common Multiple of 945,9388 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8871660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8871660

Therefore, the GCF of Fractions 9133/945,6042/9388 is 1/8871660

Least Common Multiple of 945,9388 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 945,9388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,9388) = 1

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

GCF(945,9388) x common factors =1 x 1 = 1

LCM(945,9388) = ( 945 × 9388 ) / 1

LCM(945,9388) = 8871660 / 1

LCM(945,9388) = 8871660

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9133/945, 6042/9388

1. What is the HCF of 9133,6042?

The HCF of 9133,6042 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 9133/945, 6042/9388?

Answer: GCF of Numerators as per given numbers 9133/945, 6042/9388 is

GCF of Numerators i.e. for 9133,6042 is 1

LCM of denominators i.e. for 945,9388 is 8871660.

Thus, GCF of Fractions is 1/8871660.Finally, GCF of Fractions for 9133/945, 6042/9388 is 1/8871660.