GCF of 4624/787, 5616/7952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4624/787, 5616/7952 i.e 16/6258224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4624/787, 5616/7952.
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 4624/787,5616/7952?
Given fractions are 4624/787,5616/7952
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 4624/787,5616/7952, numerators are 4624,5616
Denominators are 787,7952
The GCF of 4624,5616 is 16 .
LCM of 787,7952 is 6258224.
The greatest common factor of 4624/787,5616/7952 = [GCF of 4624,5616]/[LCM of 787,7952]= 16/6258224
Therefore, the GCF of 4624/787,5616/7952 is 16/6258224.
To find the highest common factor of 4624,5616, we have to find the factors of both numbers and list the highest common factor.
The factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624
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 HCF of 4624,5616 is 16.
Lets's calculate GCF of 4624,5616
| 2 | 4624, 5616 |
| 2 | 2312, 2808 |
| 2 | 1156, 1404 |
| 2 | 578, 702 |
| 289, 351 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4624,5616 By Matching Biggest Common Factor Method
Now, list down the factors of 4624
:1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624
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
Greatest Common Factor
We found the factors 4624,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 4624,5616 is 16.
Lets's calculate LCM of 787,7952
Given numbers has no common factors except 1. So, there LCM is their product i.e 6258224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/6258224
Therefore, the GCF of Fractions 4624/787,5616/7952 is 16/6258224
Least Common Multiple of 787,7952 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 787,7952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,7952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,7952) x common factors =1 x 1 = 1
LCM(787,7952) = ( 787 × 7952 ) / 1
LCM(787,7952) = 6258224 / 1
LCM(787,7952) = 6258224
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4624/787, 5616/7952
1. What is the HCF of 4624,5616?
The HCF of 4624,5616 is 16
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 4624/787, 5616/7952?
Answer: GCF of Numerators as per given numbers 4624/787, 5616/7952 is
GCF of Numerators i.e. for 4624,5616 is 16
LCM of denominators i.e. for 787,7952 is 6258224.
Thus, GCF of Fractions is 16/6258224.Finally, GCF of Fractions for 4624/787, 5616/7952 is 16/6258224.