GCF of 9322/270, 7966/4917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9322/270, 7966/4917 i.e 2/442530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9322/270, 7966/4917.
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 9322/270,7966/4917?
Given fractions are 9322/270,7966/4917
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 9322/270,7966/4917, numerators are 9322,7966
Denominators are 270,4917
The GCF of 9322,7966 is 2 .
LCM of 270,4917 is 442530.
The greatest common factor of 9322/270,7966/4917 = [GCF of 9322,7966]/[LCM of 270,4917]= 2/442530
Therefore, the GCF of 9322/270,7966/4917 is 2/442530.
To find the highest common factor of 9322,7966, we have to find the factors of both numbers and list the highest common factor.
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966
The HCF of 9322,7966 is 2.
Lets's calculate GCF of 9322,7966
| 2 | 9322, 7966 |
| 4661, 3983 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9322,7966 By Matching Biggest Common Factor Method
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Now, list down the factors of 7966
:1,2,7,14,569,1138,3983,7966
Greatest Common Factor
We found the factors 9322,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 9322,7966 is 2.
Lets's calculate LCM of 270,4917
| 3 | 270, 4917 |
| 90, 1639 |
∴ So the LCM of the given numbers is 3 x 90 x 1639 = 442530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/442530
Therefore, the GCF of Fractions 9322/270,7966/4917 is 2/442530
Least Common Multiple of 270,4917 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 270,4917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,4917) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(270,4917) x common factors =3 x 1 = 3
LCM(270,4917) = ( 270 × 4917 ) / 3
LCM(270,4917) = 1327590 / 3
LCM(270,4917) = 442530
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FAQs on GCF of Fractions of 9322/270, 7966/4917
1. What is the HCF of 9322,7966?
The HCF of 9322,7966 is 2
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 9322/270, 7966/4917?
Answer: GCF of Numerators as per given numbers 9322/270, 7966/4917 is
GCF of Numerators i.e. for 9322,7966 is 2
LCM of denominators i.e. for 270,4917 is 442530.
Thus, GCF of Fractions is 2/442530.Finally, GCF of Fractions for 9322/270, 7966/4917 is 2/442530.