GCF of 5220/684, 5642/383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5220/684, 5642/383 i.e 2/261972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5220/684, 5642/383.
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 5220/684,5642/383?
Given fractions are 5220/684,5642/383
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 5220/684,5642/383, numerators are 5220,5642
Denominators are 684,383
The GCF of 5220,5642 is 2 .
LCM of 684,383 is 261972.
The greatest common factor of 5220/684,5642/383 = [GCF of 5220,5642]/[LCM of 684,383]= 2/261972
Therefore, the GCF of 5220/684,5642/383 is 2/261972.
To find the highest common factor of 5220,5642, we have to find the factors of both numbers and list the highest common factor.
The factors of 5220 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220
The factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642
The HCF of 5220,5642 is 2.
Lets's calculate GCF of 5220,5642
| 2 | 5220, 5642 |
| 2610, 2821 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5220,5642 By Matching Biggest Common Factor Method
Now, list down the factors of 5220
:1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220
Now, list down the factors of 5642
:1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642
Greatest Common Factor
We found the factors 5220,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 5220,5642 is 2.
Lets's calculate LCM of 684,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 261972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/261972
Therefore, the GCF of Fractions 5220/684,5642/383 is 2/261972
Least Common Multiple of 684,383 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 684,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,383) x common factors =1 x 1 = 1
LCM(684,383) = ( 684 × 383 ) / 1
LCM(684,383) = 261972 / 1
LCM(684,383) = 261972
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FAQs on GCF of Fractions of 5220/684, 5642/383
1. What is the HCF of 5220,5642?
The HCF of 5220,5642 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 5220/684, 5642/383?
Answer: GCF of Numerators as per given numbers 5220/684, 5642/383 is
GCF of Numerators i.e. for 5220,5642 is 2
LCM of denominators i.e. for 684,383 is 261972.
Thus, GCF of Fractions is 2/261972.Finally, GCF of Fractions for 5220/684, 5642/383 is 2/261972.