GCF of 9165/992, 2294/7434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9165/992, 2294/7434 i.e 1/3687264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9165/992, 2294/7434.
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 9165/992,2294/7434?
Given fractions are 9165/992,2294/7434
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 9165/992,2294/7434, numerators are 9165,2294
Denominators are 992,7434
The GCF of 9165,2294 is 1 .
LCM of 992,7434 is 3687264.
The greatest common factor of 9165/992,2294/7434 = [GCF of 9165,2294]/[LCM of 992,7434]= 1/3687264
Therefore, the GCF of 9165/992,2294/7434 is 1/3687264.
To find the highest common factor of 9165,2294, we have to find the factors of both numbers and list the highest common factor.
The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
The factors of 2294 are 1, 2, 31, 37, 62, 74, 1147, 2294
The HCF of 9165,2294 is 1.
Lets's calculate GCF of 9165,2294
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9165,2294 By Matching Biggest Common Factor Method
Now, list down the factors of 9165
:1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Now, list down the factors of 2294
:1,2,31,37,62,74,1147,2294
Greatest Common Factor
We found the factors 9165,2294 . The biggest common factor number is the GCF number.
So the greatest common factor 9165,2294 is 1.
Lets's calculate LCM of 992,7434
| 2 | 992, 7434 |
| 496, 3717 |
∴ So the LCM of the given numbers is 2 x 496 x 3717 = 3687264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3687264
Therefore, the GCF of Fractions 9165/992,2294/7434 is 1/3687264
Least Common Multiple of 992,7434 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 992,7434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,7434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(992,7434) x common factors =2 x 1 = 2
LCM(992,7434) = ( 992 × 7434 ) / 2
LCM(992,7434) = 7374528 / 2
LCM(992,7434) = 3687264
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FAQs on GCF of Fractions of 9165/992, 2294/7434
1. What is the HCF of 9165,2294?
The HCF of 9165,2294 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 9165/992, 2294/7434?
Answer: GCF of Numerators as per given numbers 9165/992, 2294/7434 is
GCF of Numerators i.e. for 9165,2294 is 1
LCM of denominators i.e. for 992,7434 is 3687264.
Thus, GCF of Fractions is 1/3687264.Finally, GCF of Fractions for 9165/992, 2294/7434 is 1/3687264.