GCF of 7849/733, 9089/132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7849/733, 9089/132 i.e 1/96756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7849/733, 9089/132.
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 7849/733,9089/132?
Given fractions are 7849/733,9089/132
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 7849/733,9089/132, numerators are 7849,9089
Denominators are 733,132
The GCF of 7849,9089 is 1 .
LCM of 733,132 is 96756.
The greatest common factor of 7849/733,9089/132 = [GCF of 7849,9089]/[LCM of 733,132]= 1/96756
Therefore, the GCF of 7849/733,9089/132 is 1/96756.
To find the highest common factor of 7849,9089, we have to find the factors of both numbers and list the highest common factor.
The factors of 7849 are 1, 47, 167, 7849
The factors of 9089 are 1, 61, 149, 9089
The HCF of 7849,9089 is 1.
Lets's calculate GCF of 7849,9089
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7849,9089 By Matching Biggest Common Factor Method
Now, list down the factors of 7849
:1,47,167,7849
Now, list down the factors of 9089
:1,61,149,9089
Greatest Common Factor
We found the factors 7849,9089 . The biggest common factor number is the GCF number.
So the greatest common factor 7849,9089 is 1.
Lets's calculate LCM of 733,132
Given numbers has no common factors except 1. So, there LCM is their product i.e 96756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96756
Therefore, the GCF of Fractions 7849/733,9089/132 is 1/96756
Least Common Multiple of 733,132 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 733,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,132) x common factors =1 x 1 = 1
LCM(733,132) = ( 733 × 132 ) / 1
LCM(733,132) = 96756 / 1
LCM(733,132) = 96756
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FAQs on GCF of Fractions of 7849/733, 9089/132
1. What is the HCF of 7849,9089?
The HCF of 7849,9089 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 7849/733, 9089/132?
Answer: GCF of Numerators as per given numbers 7849/733, 9089/132 is
GCF of Numerators i.e. for 7849,9089 is 1
LCM of denominators i.e. for 733,132 is 96756.
Thus, GCF of Fractions is 1/96756.Finally, GCF of Fractions for 7849/733, 9089/132 is 1/96756.