GCF of 5180/659, 2838/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5180/659, 2838/638 i.e 2/420442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5180/659, 2838/638.
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 5180/659,2838/638?
Given fractions are 5180/659,2838/638
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 5180/659,2838/638, numerators are 5180,2838
Denominators are 659,638
The GCF of 5180,2838 is 2 .
LCM of 659,638 is 420442.
The greatest common factor of 5180/659,2838/638 = [GCF of 5180,2838]/[LCM of 659,638]= 2/420442
Therefore, the GCF of 5180/659,2838/638 is 2/420442.
To find the highest common factor of 5180,2838, we have to find the factors of both numbers and list the highest common factor.
The factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180
The factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838
The HCF of 5180,2838 is 2.
Lets's calculate GCF of 5180,2838
| 2 | 5180, 2838 |
| 2590, 1419 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5180,2838 By Matching Biggest Common Factor Method
Now, list down the factors of 5180
:1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180
Now, list down the factors of 2838
:1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838
Greatest Common Factor
We found the factors 5180,2838 . The biggest common factor number is the GCF number.
So the greatest common factor 5180,2838 is 2.
Lets's calculate LCM of 659,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 420442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/420442
Therefore, the GCF of Fractions 5180/659,2838/638 is 2/420442
Least Common Multiple of 659,638 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 659,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,638) x common factors =1 x 1 = 1
LCM(659,638) = ( 659 × 638 ) / 1
LCM(659,638) = 420442 / 1
LCM(659,638) = 420442
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FAQs on GCF of Fractions of 5180/659, 2838/638
1. What is the HCF of 5180,2838?
The HCF of 5180,2838 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 5180/659, 2838/638?
Answer: GCF of Numerators as per given numbers 5180/659, 2838/638 is
GCF of Numerators i.e. for 5180,2838 is 2
LCM of denominators i.e. for 659,638 is 420442.
Thus, GCF of Fractions is 2/420442.Finally, GCF of Fractions for 5180/659, 2838/638 is 2/420442.