GCF of 9321/454, 8074/9582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9321/454, 8074/9582 i.e 1/2175114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9321/454, 8074/9582.
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 9321/454,8074/9582?
Given fractions are 9321/454,8074/9582
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 9321/454,8074/9582, numerators are 9321,8074
Denominators are 454,9582
The GCF of 9321,8074 is 1 .
LCM of 454,9582 is 2175114.
The greatest common factor of 9321/454,8074/9582 = [GCF of 9321,8074]/[LCM of 454,9582]= 1/2175114
Therefore, the GCF of 9321/454,8074/9582 is 1/2175114.
To find the highest common factor of 9321,8074, we have to find the factors of both numbers and list the highest common factor.
The factors of 9321 are 1, 3, 13, 39, 239, 717, 3107, 9321
The factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074
The HCF of 9321,8074 is 1.
Lets's calculate GCF of 9321,8074
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9321,8074 By Matching Biggest Common Factor Method
Now, list down the factors of 9321
:1,3,13,39,239,717,3107,9321
Now, list down the factors of 8074
:1,2,11,22,367,734,4037,8074
Greatest Common Factor
We found the factors 9321,8074 . The biggest common factor number is the GCF number.
So the greatest common factor 9321,8074 is 1.
Lets's calculate LCM of 454,9582
| 2 | 454, 9582 |
| 227, 4791 |
∴ So the LCM of the given numbers is 2 x 227 x 4791 = 2175114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2175114
Therefore, the GCF of Fractions 9321/454,8074/9582 is 1/2175114
Least Common Multiple of 454,9582 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 454,9582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,9582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,9582) x common factors =2 x 1 = 2
LCM(454,9582) = ( 454 × 9582 ) / 2
LCM(454,9582) = 4350228 / 2
LCM(454,9582) = 2175114
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FAQs on GCF of Fractions of 9321/454, 8074/9582
1. What is the HCF of 9321,8074?
The HCF of 9321,8074 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 9321/454, 8074/9582?
Answer: GCF of Numerators as per given numbers 9321/454, 8074/9582 is
GCF of Numerators i.e. for 9321,8074 is 1
LCM of denominators i.e. for 454,9582 is 2175114.
Thus, GCF of Fractions is 1/2175114.Finally, GCF of Fractions for 9321/454, 8074/9582 is 1/2175114.