GCF of 5616/212, 8363/594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5616/212, 8363/594 i.e 1/62964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5616/212, 8363/594.
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 5616/212,8363/594?
Given fractions are 5616/212,8363/594
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 5616/212,8363/594, numerators are 5616,8363
Denominators are 212,594
The GCF of 5616,8363 is 1 .
LCM of 212,594 is 62964.
The greatest common factor of 5616/212,8363/594 = [GCF of 5616,8363]/[LCM of 212,594]= 1/62964
Therefore, the GCF of 5616/212,8363/594 is 1/62964.
To find the highest common factor of 5616,8363, we have to find the factors of both numbers and list the highest common factor.
The factors of 5616 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616
The factors of 8363 are 1, 8363
The HCF of 5616,8363 is 1.
Lets's calculate GCF of 5616,8363
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5616,8363 By Matching Biggest Common Factor Method
Now, list down the factors of 5616
:1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616
Now, list down the factors of 8363
:1,8363
Greatest Common Factor
We found the factors 5616,8363 . The biggest common factor number is the GCF number.
So the greatest common factor 5616,8363 is 1.
Lets's calculate LCM of 212,594
| 2 | 212, 594 |
| 106, 297 |
∴ So the LCM of the given numbers is 2 x 106 x 297 = 62964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62964
Therefore, the GCF of Fractions 5616/212,8363/594 is 1/62964
Least Common Multiple of 212,594 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 212,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,594) x common factors =2 x 1 = 2
LCM(212,594) = ( 212 × 594 ) / 2
LCM(212,594) = 125928 / 2
LCM(212,594) = 62964
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FAQs on GCF of Fractions of 5616/212, 8363/594
1. What is the HCF of 5616,8363?
The HCF of 5616,8363 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 5616/212, 8363/594?
Answer: GCF of Numerators as per given numbers 5616/212, 8363/594 is
GCF of Numerators i.e. for 5616,8363 is 1
LCM of denominators i.e. for 212,594 is 62964.
Thus, GCF of Fractions is 1/62964.Finally, GCF of Fractions for 5616/212, 8363/594 is 1/62964.