How to Find GCF of 7092/335, 9257/1332?

GCF of 7092/335, 9257/1332

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 7092/335, 9257/1332 i.e 1/446220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7092/335, 9257/1332.

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 7092/335,9257/1332?

Given fractions are 7092/335,9257/1332

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 7092/335,9257/1332, numerators are 7092,9257

Denominators are 335,1332

The GCF of 7092,9257 is 1 .

LCM of 335,1332 is 446220.

The greatest common factor of 7092/335,9257/1332 = [GCF of 7092,9257]/[LCM of 335,1332]= 1/446220

Therefore, the GCF of 7092/335,9257/1332 is 1/446220.

Greatest Common Factor of 7092,9257

To find the highest common factor of 7092,9257, we have to find the factors of both numbers and list the highest common factor.

The factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092

The factors of 9257 are 1, 9257

The HCF of 7092,9257 is 1.

Lets's calculate GCF of 7092,9257

Greatest Common Factor (GCF) of 7092,9257 By Common Division

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

Greatest Common Factor of 7092,9257 By Matching Biggest Common Factor Method

Now, list down the factors of 7092

1,2,3,4,6,9,12,18,36,197,394,591,788,1182,1773,2364,3546,7092

Now, list down the factors of 9257

1,9257

Greatest Common Factor

We found the factors 7092,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 7092,9257 is 1.

Lets's calculate LCM of 335,1332

Lowest Common Multiple of 335,1332 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 446220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446220

Therefore, the GCF of Fractions 7092/335,9257/1332 is 1/446220

Least Common Multiple of 335,1332 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 335,1332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,1332) = 1

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

GCF(335,1332) x common factors =1 x 1 = 1

LCM(335,1332) = ( 335 × 1332 ) / 1

LCM(335,1332) = 446220 / 1

LCM(335,1332) = 446220

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7092/335, 9257/1332

1. What is the HCF of 7092,9257?

The HCF of 7092,9257 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 7092/335, 9257/1332?

Answer: GCF of Numerators as per given numbers 7092/335, 9257/1332 is

GCF of Numerators i.e. for 7092,9257 is 1

LCM of denominators i.e. for 335,1332 is 446220.

Thus, GCF of Fractions is 1/446220.Finally, GCF of Fractions for 7092/335, 9257/1332 is 1/446220.