GCF of 7909/148, 9092/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7909/148, 9092/966 i.e 1/71484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7909/148, 9092/966.
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 7909/148,9092/966?
Given fractions are 7909/148,9092/966
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 7909/148,9092/966, numerators are 7909,9092
Denominators are 148,966
The GCF of 7909,9092 is 1 .
LCM of 148,966 is 71484.
The greatest common factor of 7909/148,9092/966 = [GCF of 7909,9092]/[LCM of 148,966]= 1/71484
Therefore, the GCF of 7909/148,9092/966 is 1/71484.
To find the highest common factor of 7909,9092, we have to find the factors of both numbers and list the highest common factor.
The factors of 7909 are 1, 11, 719, 7909
The factors of 9092 are 1, 2, 4, 2273, 4546, 9092
The HCF of 7909,9092 is 1.
Lets's calculate GCF of 7909,9092
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7909,9092 By Matching Biggest Common Factor Method
Now, list down the factors of 7909
:1,11,719,7909
Now, list down the factors of 9092
:1,2,4,2273,4546,9092
Greatest Common Factor
We found the factors 7909,9092 . The biggest common factor number is the GCF number.
So the greatest common factor 7909,9092 is 1.
Lets's calculate LCM of 148,966
| 2 | 148, 966 |
| 74, 483 |
∴ So the LCM of the given numbers is 2 x 74 x 483 = 71484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71484
Therefore, the GCF of Fractions 7909/148,9092/966 is 1/71484
Least Common Multiple of 148,966 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 148,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(148,966) x common factors =2 x 1 = 2
LCM(148,966) = ( 148 × 966 ) / 2
LCM(148,966) = 142968 / 2
LCM(148,966) = 71484
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FAQs on GCF of Fractions of 7909/148, 9092/966
1. What is the HCF of 7909,9092?
The HCF of 7909,9092 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 7909/148, 9092/966?
Answer: GCF of Numerators as per given numbers 7909/148, 9092/966 is
GCF of Numerators i.e. for 7909,9092 is 1
LCM of denominators i.e. for 148,966 is 71484.
Thus, GCF of Fractions is 1/71484.Finally, GCF of Fractions for 7909/148, 9092/966 is 1/71484.