GCF of 2220/238, 8886/8104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2220/238, 8886/8104 i.e 6/964376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2220/238, 8886/8104.
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 2220/238,8886/8104?
Given fractions are 2220/238,8886/8104
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 2220/238,8886/8104, numerators are 2220,8886
Denominators are 238,8104
The GCF of 2220,8886 is 6 .
LCM of 238,8104 is 964376.
The greatest common factor of 2220/238,8886/8104 = [GCF of 2220,8886]/[LCM of 238,8104]= 6/964376
Therefore, the GCF of 2220/238,8886/8104 is 6/964376.
To find the highest common factor of 2220,8886, we have to find the factors of both numbers and list the highest common factor.
The factors of 2220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220
The factors of 8886 are 1, 2, 3, 6, 1481, 2962, 4443, 8886
The HCF of 2220,8886 is 6.
Lets's calculate GCF of 2220,8886
| 2 | 2220, 8886 |
| 3 | 1110, 4443 |
| 370, 1481 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2220,8886 By Matching Biggest Common Factor Method
Now, list down the factors of 2220
:1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220
Now, list down the factors of 8886
:1,2,3,6,1481,2962,4443,8886
Greatest Common Factor
We found the factors 2220,8886 . The biggest common factor number is the GCF number.
So the greatest common factor 2220,8886 is 6.
Lets's calculate LCM of 238,8104
| 2 | 238, 8104 |
| 119, 4052 |
∴ So the LCM of the given numbers is 2 x 119 x 4052 = 964376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/964376
Therefore, the GCF of Fractions 2220/238,8886/8104 is 6/964376
Least Common Multiple of 238,8104 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 238,8104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,8104) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,8104) x common factors =2 x 1 = 2
LCM(238,8104) = ( 238 × 8104 ) / 2
LCM(238,8104) = 1928752 / 2
LCM(238,8104) = 964376
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FAQs on GCF of Fractions of 2220/238, 8886/8104
1. What is the HCF of 2220,8886?
The HCF of 2220,8886 is 6
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 2220/238, 8886/8104?
Answer: GCF of Numerators as per given numbers 2220/238, 8886/8104 is
GCF of Numerators i.e. for 2220,8886 is 6
LCM of denominators i.e. for 238,8104 is 964376.
Thus, GCF of Fractions is 6/964376.Finally, GCF of Fractions for 2220/238, 8886/8104 is 6/964376.