GCF of 5772/256, 4662/1566
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5772/256, 4662/1566 i.e 222/200448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5772/256, 4662/1566.
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 5772/256,4662/1566?
Given fractions are 5772/256,4662/1566
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 5772/256,4662/1566, numerators are 5772,4662
Denominators are 256,1566
The GCF of 5772,4662 is 222 .
LCM of 256,1566 is 200448.
The greatest common factor of 5772/256,4662/1566 = [GCF of 5772,4662]/[LCM of 256,1566]= 222/200448
Therefore, the GCF of 5772/256,4662/1566 is 222/200448.
To find the highest common factor of 5772,4662, we have to find the factors of both numbers and list the highest common factor.
The factors of 5772 are 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772
The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The HCF of 5772,4662 is 222.
Lets's calculate GCF of 5772,4662
| 2 | 5772, 4662 |
| 3 | 2886, 2331 |
| 37 | 962, 777 |
| 26, 21 |
∴ So the GCF of the given numbers is 2 x 3 x 37 = 222
Greatest Common Factor of 5772,4662 By Matching Biggest Common Factor Method
Now, list down the factors of 5772
:1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772
Now, list down the factors of 4662
:1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 5772,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 5772,4662 is 222.
Lets's calculate LCM of 256,1566
| 2 | 256, 1566 |
| 128, 783 |
∴ So the LCM of the given numbers is 2 x 128 x 783 = 200448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 222/200448
Therefore, the GCF of Fractions 5772/256,4662/1566 is 222/200448
Least Common Multiple of 256,1566 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 256,1566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,1566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,1566) x common factors =2 x 1 = 2
LCM(256,1566) = ( 256 × 1566 ) / 2
LCM(256,1566) = 400896 / 2
LCM(256,1566) = 200448
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FAQs on GCF of Fractions of 5772/256, 4662/1566
1. What is the HCF of 5772,4662?
The HCF of 5772,4662 is 222
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 5772/256, 4662/1566?
Answer: GCF of Numerators as per given numbers 5772/256, 4662/1566 is
GCF of Numerators i.e. for 5772,4662 is 222
LCM of denominators i.e. for 256,1566 is 200448.
Thus, GCF of Fractions is 222/200448.Finally, GCF of Fractions for 5772/256, 4662/1566 is 222/200448.