GCF of 5583/274, 2268/8720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5583/274, 2268/8720 i.e 3/1194640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5583/274, 2268/8720.
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 5583/274,2268/8720?
Given fractions are 5583/274,2268/8720
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 5583/274,2268/8720, numerators are 5583,2268
Denominators are 274,8720
The GCF of 5583,2268 is 3 .
LCM of 274,8720 is 1194640.
The greatest common factor of 5583/274,2268/8720 = [GCF of 5583,2268]/[LCM of 274,8720]= 3/1194640
Therefore, the GCF of 5583/274,2268/8720 is 3/1194640.
To find the highest common factor of 5583,2268, we have to find the factors of both numbers and list the highest common factor.
The factors of 5583 are 1, 3, 1861, 5583
The factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268
The HCF of 5583,2268 is 3.
Lets's calculate GCF of 5583,2268
| 3 | 5583, 2268 |
| 1861, 756 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5583,2268 By Matching Biggest Common Factor Method
Now, list down the factors of 5583
:1,3,1861,5583
Now, list down the factors of 2268
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268
Greatest Common Factor
We found the factors 5583,2268 . The biggest common factor number is the GCF number.
So the greatest common factor 5583,2268 is 3.
Lets's calculate LCM of 274,8720
| 2 | 274, 8720 |
| 137, 4360 |
∴ So the LCM of the given numbers is 2 x 137 x 4360 = 1194640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1194640
Therefore, the GCF of Fractions 5583/274,2268/8720 is 3/1194640
Least Common Multiple of 274,8720 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 274,8720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,8720) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,8720) x common factors =2 x 1 = 2
LCM(274,8720) = ( 274 × 8720 ) / 2
LCM(274,8720) = 2389280 / 2
LCM(274,8720) = 1194640
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FAQs on GCF of Fractions of 5583/274, 2268/8720
1. What is the HCF of 5583,2268?
The HCF of 5583,2268 is 3
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 5583/274, 2268/8720?
Answer: GCF of Numerators as per given numbers 5583/274, 2268/8720 is
GCF of Numerators i.e. for 5583,2268 is 3
LCM of denominators i.e. for 274,8720 is 1194640.
Thus, GCF of Fractions is 3/1194640.Finally, GCF of Fractions for 5583/274, 2268/8720 is 3/1194640.