GCF of 7918/572, 5616/3622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7918/572, 5616/3622 i.e 2/1035892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7918/572, 5616/3622.
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 7918/572,5616/3622?
Given fractions are 7918/572,5616/3622
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 7918/572,5616/3622, numerators are 7918,5616
Denominators are 572,3622
The GCF of 7918,5616 is 2 .
LCM of 572,3622 is 1035892.
The greatest common factor of 7918/572,5616/3622 = [GCF of 7918,5616]/[LCM of 572,3622]= 2/1035892
Therefore, the GCF of 7918/572,5616/3622 is 2/1035892.
To find the highest common factor of 7918,5616, we have to find the factors of both numbers and list the highest common factor.
The factors of 7918 are 1, 2, 37, 74, 107, 214, 3959, 7918
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 7918,5616 is 2.
Lets's calculate GCF of 7918,5616
| 2 | 7918, 5616 |
| 3959, 2808 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7918,5616 By Matching Biggest Common Factor Method
Now, list down the factors of 7918
:1,2,37,74,107,214,3959,7918
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 7918,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 7918,5616 is 2.
Lets's calculate LCM of 572,3622
| 2 | 572, 3622 |
| 286, 1811 |
∴ So the LCM of the given numbers is 2 x 286 x 1811 = 1035892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1035892
Therefore, the GCF of Fractions 7918/572,5616/3622 is 2/1035892
Least Common Multiple of 572,3622 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 572,3622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,3622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,3622) x common factors =2 x 1 = 2
LCM(572,3622) = ( 572 × 3622 ) / 2
LCM(572,3622) = 2071784 / 2
LCM(572,3622) = 1035892
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FAQs on GCF of Fractions of 7918/572, 5616/3622
1. What is the HCF of 7918,5616?
The HCF of 7918,5616 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 7918/572, 5616/3622?
Answer: GCF of Numerators as per given numbers 7918/572, 5616/3622 is
GCF of Numerators i.e. for 7918,5616 is 2
LCM of denominators i.e. for 572,3622 is 1035892.
Thus, GCF of Fractions is 2/1035892.Finally, GCF of Fractions for 7918/572, 5616/3622 is 2/1035892.