GCF of 9336/742, 2995/5814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9336/742, 2995/5814 i.e 1/2156994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9336/742, 2995/5814.
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 9336/742,2995/5814?
Given fractions are 9336/742,2995/5814
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 9336/742,2995/5814, numerators are 9336,2995
Denominators are 742,5814
The GCF of 9336,2995 is 1 .
LCM of 742,5814 is 2156994.
The greatest common factor of 9336/742,2995/5814 = [GCF of 9336,2995]/[LCM of 742,5814]= 1/2156994
Therefore, the GCF of 9336/742,2995/5814 is 1/2156994.
To find the highest common factor of 9336,2995, we have to find the factors of both numbers and list the highest common factor.
The factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336
The factors of 2995 are 1, 5, 599, 2995
The HCF of 9336,2995 is 1.
Lets's calculate GCF of 9336,2995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9336,2995 By Matching Biggest Common Factor Method
Now, list down the factors of 9336
:1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336
Now, list down the factors of 2995
:1,5,599,2995
Greatest Common Factor
We found the factors 9336,2995 . The biggest common factor number is the GCF number.
So the greatest common factor 9336,2995 is 1.
Lets's calculate LCM of 742,5814
| 2 | 742, 5814 |
| 371, 2907 |
∴ So the LCM of the given numbers is 2 x 371 x 2907 = 2156994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2156994
Therefore, the GCF of Fractions 9336/742,2995/5814 is 1/2156994
Least Common Multiple of 742,5814 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 742,5814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,5814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,5814) x common factors =2 x 1 = 2
LCM(742,5814) = ( 742 × 5814 ) / 2
LCM(742,5814) = 4313988 / 2
LCM(742,5814) = 2156994
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FAQs on GCF of Fractions of 9336/742, 2995/5814
1. What is the HCF of 9336,2995?
The HCF of 9336,2995 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 9336/742, 2995/5814?
Answer: GCF of Numerators as per given numbers 9336/742, 2995/5814 is
GCF of Numerators i.e. for 9336,2995 is 1
LCM of denominators i.e. for 742,5814 is 2156994.
Thus, GCF of Fractions is 1/2156994.Finally, GCF of Fractions for 9336/742, 2995/5814 is 1/2156994.