GCF of 3586/654, 5148/5972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3586/654, 5148/5972 i.e 22/1952844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3586/654, 5148/5972.
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 3586/654,5148/5972?
Given fractions are 3586/654,5148/5972
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 3586/654,5148/5972, numerators are 3586,5148
Denominators are 654,5972
The GCF of 3586,5148 is 22 .
LCM of 654,5972 is 1952844.
The greatest common factor of 3586/654,5148/5972 = [GCF of 3586,5148]/[LCM of 654,5972]= 22/1952844
Therefore, the GCF of 3586/654,5148/5972 is 22/1952844.
To find the highest common factor of 3586,5148, we have to find the factors of both numbers and list the highest common factor.
The factors of 3586 are 1, 2, 11, 22, 163, 326, 1793, 3586
The factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148
The HCF of 3586,5148 is 22.
Lets's calculate GCF of 3586,5148
| 2 | 3586, 5148 |
| 11 | 1793, 2574 |
| 163, 234 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 3586,5148 By Matching Biggest Common Factor Method
Now, list down the factors of 3586
:1,2,11,22,163,326,1793,3586
Now, list down the factors of 5148
:1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Greatest Common Factor
We found the factors 3586,5148 . The biggest common factor number is the GCF number.
So the greatest common factor 3586,5148 is 22.
Lets's calculate LCM of 654,5972
| 2 | 654, 5972 |
| 327, 2986 |
∴ So the LCM of the given numbers is 2 x 327 x 2986 = 1952844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1952844
Therefore, the GCF of Fractions 3586/654,5148/5972 is 22/1952844
Least Common Multiple of 654,5972 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 654,5972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,5972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,5972) x common factors =2 x 1 = 2
LCM(654,5972) = ( 654 × 5972 ) / 2
LCM(654,5972) = 3905688 / 2
LCM(654,5972) = 1952844
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FAQs on GCF of Fractions of 3586/654, 5148/5972
1. What is the HCF of 3586,5148?
The HCF of 3586,5148 is 22
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 3586/654, 5148/5972?
Answer: GCF of Numerators as per given numbers 3586/654, 5148/5972 is
GCF of Numerators i.e. for 3586,5148 is 22
LCM of denominators i.e. for 654,5972 is 1952844.
Thus, GCF of Fractions is 22/1952844.Finally, GCF of Fractions for 3586/654, 5148/5972 is 22/1952844.