GCF of 9016/312, 2783/5392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9016/312, 2783/5392 i.e 23/210288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9016/312, 2783/5392.
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 9016/312,2783/5392?
Given fractions are 9016/312,2783/5392
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 9016/312,2783/5392, numerators are 9016,2783
Denominators are 312,5392
The GCF of 9016,2783 is 23 .
LCM of 312,5392 is 210288.
The greatest common factor of 9016/312,2783/5392 = [GCF of 9016,2783]/[LCM of 312,5392]= 23/210288
Therefore, the GCF of 9016/312,2783/5392 is 23/210288.
To find the highest common factor of 9016,2783, we have to find the factors of both numbers and list the highest common factor.
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The factors of 2783 are 1, 11, 23, 121, 253, 2783
The HCF of 9016,2783 is 23.
Lets's calculate GCF of 9016,2783
| 23 | 9016, 2783 |
| 392, 121 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 9016,2783 By Matching Biggest Common Factor Method
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Now, list down the factors of 2783
:1,11,23,121,253,2783
Greatest Common Factor
We found the factors 9016,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 9016,2783 is 23.
Lets's calculate LCM of 312,5392
| 2 | 312, 5392 |
| 2 | 156, 2696 |
| 2 | 78, 1348 |
| 39, 674 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 674 = 210288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/210288
Therefore, the GCF of Fractions 9016/312,2783/5392 is 23/210288
Least Common Multiple of 312,5392 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 312,5392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,5392) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(312,5392) x common factors =8 x 1 = 8
LCM(312,5392) = ( 312 × 5392 ) / 8
LCM(312,5392) = 1682304 / 8
LCM(312,5392) = 210288
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FAQs on GCF of Fractions of 9016/312, 2783/5392
1. What is the HCF of 9016,2783?
The HCF of 9016,2783 is 23
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 9016/312, 2783/5392?
Answer: GCF of Numerators as per given numbers 9016/312, 2783/5392 is
GCF of Numerators i.e. for 9016,2783 is 23
LCM of denominators i.e. for 312,5392 is 210288.
Thus, GCF of Fractions is 23/210288.Finally, GCF of Fractions for 9016/312, 2783/5392 is 23/210288.