GCF of 1332/916, 5283/1586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1332/916, 5283/1586 i.e 9/726388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1332/916, 5283/1586.
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 1332/916,5283/1586?
Given fractions are 1332/916,5283/1586
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 1332/916,5283/1586, numerators are 1332,5283
Denominators are 916,1586
The GCF of 1332,5283 is 9 .
LCM of 916,1586 is 726388.
The greatest common factor of 1332/916,5283/1586 = [GCF of 1332,5283]/[LCM of 916,1586]= 9/726388
Therefore, the GCF of 1332/916,5283/1586 is 9/726388.
To find the highest common factor of 1332,5283, we have to find the factors of both numbers and list the highest common factor.
The factors of 1332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332
The factors of 5283 are 1, 3, 9, 587, 1761, 5283
The HCF of 1332,5283 is 9.
Lets's calculate GCF of 1332,5283
| 3 | 1332, 5283 |
| 3 | 444, 1761 |
| 148, 587 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1332,5283 By Matching Biggest Common Factor Method
Now, list down the factors of 1332
:1,2,3,4,6,9,12,18,36,37,74,111,148,222,333,444,666,1332
Now, list down the factors of 5283
:1,3,9,587,1761,5283
Greatest Common Factor
We found the factors 1332,5283 . The biggest common factor number is the GCF number.
So the greatest common factor 1332,5283 is 9.
Lets's calculate LCM of 916,1586
| 2 | 916, 1586 |
| 458, 793 |
∴ So the LCM of the given numbers is 2 x 458 x 793 = 726388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/726388
Therefore, the GCF of Fractions 1332/916,5283/1586 is 9/726388
Least Common Multiple of 916,1586 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 916,1586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,1586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,1586) x common factors =2 x 1 = 2
LCM(916,1586) = ( 916 × 1586 ) / 2
LCM(916,1586) = 1452776 / 2
LCM(916,1586) = 726388
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FAQs on GCF of Fractions of 1332/916, 5283/1586
1. What is the HCF of 1332,5283?
The HCF of 1332,5283 is 9
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 1332/916, 5283/1586?
Answer: GCF of Numerators as per given numbers 1332/916, 5283/1586 is
GCF of Numerators i.e. for 1332,5283 is 9
LCM of denominators i.e. for 916,1586 is 726388.
Thus, GCF of Fractions is 9/726388.Finally, GCF of Fractions for 1332/916, 5283/1586 is 9/726388.