GCF of 9215/584, 9656/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9215/584, 9656/302 i.e 1/88184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9215/584, 9656/302.
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 9215/584,9656/302?
Given fractions are 9215/584,9656/302
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 9215/584,9656/302, numerators are 9215,9656
Denominators are 584,302
The GCF of 9215,9656 is 1 .
LCM of 584,302 is 88184.
The greatest common factor of 9215/584,9656/302 = [GCF of 9215,9656]/[LCM of 584,302]= 1/88184
Therefore, the GCF of 9215/584,9656/302 is 1/88184.
To find the highest common factor of 9215,9656, we have to find the factors of both numbers and list the highest common factor.
The factors of 9215 are 1, 5, 19, 95, 97, 485, 1843, 9215
The factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656
The HCF of 9215,9656 is 1.
Lets's calculate GCF of 9215,9656
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9215,9656 By Matching Biggest Common Factor Method
Now, list down the factors of 9215
:1,5,19,95,97,485,1843,9215
Now, list down the factors of 9656
:1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656
Greatest Common Factor
We found the factors 9215,9656 . The biggest common factor number is the GCF number.
So the greatest common factor 9215,9656 is 1.
Lets's calculate LCM of 584,302
| 2 | 584, 302 |
| 292, 151 |
∴ So the LCM of the given numbers is 2 x 292 x 151 = 88184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88184
Therefore, the GCF of Fractions 9215/584,9656/302 is 1/88184
Least Common Multiple of 584,302 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 584,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(584,302) x common factors =2 x 1 = 2
LCM(584,302) = ( 584 × 302 ) / 2
LCM(584,302) = 176368 / 2
LCM(584,302) = 88184
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FAQs on GCF of Fractions of 9215/584, 9656/302
1. What is the HCF of 9215,9656?
The HCF of 9215,9656 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 9215/584, 9656/302?
Answer: GCF of Numerators as per given numbers 9215/584, 9656/302 is
GCF of Numerators i.e. for 9215,9656 is 1
LCM of denominators i.e. for 584,302 is 88184.
Thus, GCF of Fractions is 1/88184.Finally, GCF of Fractions for 9215/584, 9656/302 is 1/88184.