GCF of 2838/582, 9702/8783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2838/582, 9702/8783 i.e 66/5111706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2838/582, 9702/8783.
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 2838/582,9702/8783?
Given fractions are 2838/582,9702/8783
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 2838/582,9702/8783, numerators are 2838,9702
Denominators are 582,8783
The GCF of 2838,9702 is 66 .
LCM of 582,8783 is 5111706.
The greatest common factor of 2838/582,9702/8783 = [GCF of 2838,9702]/[LCM of 582,8783]= 66/5111706
Therefore, the GCF of 2838/582,9702/8783 is 66/5111706.
To find the highest common factor of 2838,9702, we have to find the factors of both numbers and list the highest common factor.
The factors of 2838 are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, 2838
The factors of 9702 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702
The HCF of 2838,9702 is 66.
Lets's calculate GCF of 2838,9702
| 2 | 2838, 9702 |
| 3 | 1419, 4851 |
| 11 | 473, 1617 |
| 43, 147 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Greatest Common Factor of 2838,9702 By Matching Biggest Common Factor Method
Now, list down the factors of 2838
:1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838
Now, list down the factors of 9702
:1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702
Greatest Common Factor
We found the factors 2838,9702 . The biggest common factor number is the GCF number.
So the greatest common factor 2838,9702 is 66.
Lets's calculate LCM of 582,8783
Given numbers has no common factors except 1. So, there LCM is their product i.e 5111706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/5111706
Therefore, the GCF of Fractions 2838/582,9702/8783 is 66/5111706
Least Common Multiple of 582,8783 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 582,8783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,8783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,8783) x common factors =1 x 1 = 1
LCM(582,8783) = ( 582 × 8783 ) / 1
LCM(582,8783) = 5111706 / 1
LCM(582,8783) = 5111706
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FAQs on GCF of Fractions of 2838/582, 9702/8783
1. What is the HCF of 2838,9702?
The HCF of 2838,9702 is 66
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 2838/582, 9702/8783?
Answer: GCF of Numerators as per given numbers 2838/582, 9702/8783 is
GCF of Numerators i.e. for 2838,9702 is 66
LCM of denominators i.e. for 582,8783 is 5111706.
Thus, GCF of Fractions is 66/5111706.Finally, GCF of Fractions for 2838/582, 9702/8783 is 66/5111706.