GCF of 5638/610, 8556/2036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5638/610, 8556/2036 i.e 2/620980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5638/610, 8556/2036.
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 5638/610,8556/2036?
Given fractions are 5638/610,8556/2036
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 5638/610,8556/2036, numerators are 5638,8556
Denominators are 610,2036
The GCF of 5638,8556 is 2 .
LCM of 610,2036 is 620980.
The greatest common factor of 5638/610,8556/2036 = [GCF of 5638,8556]/[LCM of 610,2036]= 2/620980
Therefore, the GCF of 5638/610,8556/2036 is 2/620980.
To find the highest common factor of 5638,8556, we have to find the factors of both numbers and list the highest common factor.
The factors of 5638 are 1, 2, 2819, 5638
The factors of 8556 are 1, 2, 3, 4, 6, 12, 23, 31, 46, 62, 69, 92, 93, 124, 138, 186, 276, 372, 713, 1426, 2139, 2852, 4278, 8556
The HCF of 5638,8556 is 2.
Lets's calculate GCF of 5638,8556
| 2 | 5638, 8556 |
| 2819, 4278 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5638,8556 By Matching Biggest Common Factor Method
Now, list down the factors of 5638
:1,2,2819,5638
Now, list down the factors of 8556
:1,2,3,4,6,12,23,31,46,62,69,92,93,124,138,186,276,372,713,1426,2139,2852,4278,8556
Greatest Common Factor
We found the factors 5638,8556 . The biggest common factor number is the GCF number.
So the greatest common factor 5638,8556 is 2.
Lets's calculate LCM of 610,2036
| 2 | 610, 2036 |
| 305, 1018 |
∴ So the LCM of the given numbers is 2 x 305 x 1018 = 620980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/620980
Therefore, the GCF of Fractions 5638/610,8556/2036 is 2/620980
Least Common Multiple of 610,2036 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 610,2036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,2036) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,2036) x common factors =2 x 1 = 2
LCM(610,2036) = ( 610 × 2036 ) / 2
LCM(610,2036) = 1241960 / 2
LCM(610,2036) = 620980
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FAQs on GCF of Fractions of 5638/610, 8556/2036
1. What is the HCF of 5638,8556?
The HCF of 5638,8556 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 5638/610, 8556/2036?
Answer: GCF of Numerators as per given numbers 5638/610, 8556/2036 is
GCF of Numerators i.e. for 5638,8556 is 2
LCM of denominators i.e. for 610,2036 is 620980.
Thus, GCF of Fractions is 2/620980.Finally, GCF of Fractions for 5638/610, 8556/2036 is 2/620980.