GCF of 5032/870, 2860/5389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5032/870, 2860/5389 i.e 4/4688430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5032/870, 2860/5389.
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 5032/870,2860/5389?
Given fractions are 5032/870,2860/5389
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 5032/870,2860/5389, numerators are 5032,2860
Denominators are 870,5389
The GCF of 5032,2860 is 4 .
LCM of 870,5389 is 4688430.
The greatest common factor of 5032/870,2860/5389 = [GCF of 5032,2860]/[LCM of 870,5389]= 4/4688430
Therefore, the GCF of 5032/870,2860/5389 is 4/4688430.
To find the highest common factor of 5032,2860, we have to find the factors of both numbers and list the highest common factor.
The factors of 5032 are 1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032
The factors of 2860 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430, 2860
The HCF of 5032,2860 is 4.
Lets's calculate GCF of 5032,2860
| 2 | 5032, 2860 |
| 2 | 2516, 1430 |
| 1258, 715 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5032,2860 By Matching Biggest Common Factor Method
Now, list down the factors of 5032
:1,2,4,8,17,34,37,68,74,136,148,296,629,1258,2516,5032
Now, list down the factors of 2860
:1,2,4,5,10,11,13,20,22,26,44,52,55,65,110,130,143,220,260,286,572,715,1430,2860
Greatest Common Factor
We found the factors 5032,2860 . The biggest common factor number is the GCF number.
So the greatest common factor 5032,2860 is 4.
Lets's calculate LCM of 870,5389
Given numbers has no common factors except 1. So, there LCM is their product i.e 4688430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4688430
Therefore, the GCF of Fractions 5032/870,2860/5389 is 4/4688430
Least Common Multiple of 870,5389 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 870,5389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,5389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(870,5389) x common factors =1 x 1 = 1
LCM(870,5389) = ( 870 × 5389 ) / 1
LCM(870,5389) = 4688430 / 1
LCM(870,5389) = 4688430
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FAQs on GCF of Fractions of 5032/870, 2860/5389
1. What is the HCF of 5032,2860?
The HCF of 5032,2860 is 4
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 5032/870, 2860/5389?
Answer: GCF of Numerators as per given numbers 5032/870, 2860/5389 is
GCF of Numerators i.e. for 5032,2860 is 4
LCM of denominators i.e. for 870,5389 is 4688430.
Thus, GCF of Fractions is 4/4688430.Finally, GCF of Fractions for 5032/870, 2860/5389 is 4/4688430.