GCF of 5616/883, 7582/2936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5616/883, 7582/2936 i.e 2/2592488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5616/883, 7582/2936.
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 5616/883,7582/2936?
Given fractions are 5616/883,7582/2936
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 5616/883,7582/2936, numerators are 5616,7582
Denominators are 883,2936
The GCF of 5616,7582 is 2 .
LCM of 883,2936 is 2592488.
The greatest common factor of 5616/883,7582/2936 = [GCF of 5616,7582]/[LCM of 883,2936]= 2/2592488
Therefore, the GCF of 5616/883,7582/2936 is 2/2592488.
To find the highest common factor of 5616,7582, 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 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582
The HCF of 5616,7582 is 2.
Lets's calculate GCF of 5616,7582
| 2 | 5616, 7582 |
| 2808, 3791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5616,7582 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 7582
:1,2,17,34,223,446,3791,7582
Greatest Common Factor
We found the factors 5616,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 5616,7582 is 2.
Lets's calculate LCM of 883,2936
Given numbers has no common factors except 1. So, there LCM is their product i.e 2592488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2592488
Therefore, the GCF of Fractions 5616/883,7582/2936 is 2/2592488
Least Common Multiple of 883,2936 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 883,2936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,2936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,2936) x common factors =1 x 1 = 1
LCM(883,2936) = ( 883 × 2936 ) / 1
LCM(883,2936) = 2592488 / 1
LCM(883,2936) = 2592488
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FAQs on GCF of Fractions of 5616/883, 7582/2936
1. What is the HCF of 5616,7582?
The HCF of 5616,7582 is 2
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 5616/883, 7582/2936?
Answer: GCF of Numerators as per given numbers 5616/883, 7582/2936 is
GCF of Numerators i.e. for 5616,7582 is 2
LCM of denominators i.e. for 883,2936 is 2592488.
Thus, GCF of Fractions is 2/2592488.Finally, GCF of Fractions for 5616/883, 7582/2936 is 2/2592488.