GCF of 220/67, 366/98, 288/69
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 220/67, 366/98, 288/69 i.e 2/453054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/67, 366/98, 288/69.
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 220/67,366/98,288/69?
Given fractions are 220/67,366/98,288/69
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 220/67,366/98,288/69, numerators are 220,366,288
Denominators are 67,98,69
The GCF of 220,366,288 is 2 .
LCM of 67,98,69 is 453054.
The greatest common factor of 220/67,366/98,288/69 = [GCF of 220,366,288]/[LCM of 67,98,69]= 2/453054
Therefore, the GCF of 220/67,366/98,288/69 is 2/453054.
To find the highest common factor of 220,366,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 220,366,288 is 2.
Lets's calculate GCF of 220,366,288
| 2 | 220, 366, 288 |
| 110, 183, 144 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 220,366,288 By Matching Biggest Common Factor Method
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 366
:1,2,3,6,61,122,183,366
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 220,366,288 . The biggest common factor number is the GCF number.
So the greatest common factor 220,366,288 is 2.
Lets's calculate LCM of 67,98,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 453054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/453054
Therefore, the GCF of Fractions 220/67,366/98,288/69 is 2/453054
Least Common Multiple of 67,98,69 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 67,98,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,98,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,98,69) x common factors =1 x 1 = 1
LCM(67,98,69) = ( 67 × 98 × 69 ) / 1
LCM(67,98,69) = 453054 / 1
LCM(67,98,69) = 453054
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FAQs on GCF of Fractions of 220/67, 366/98, 288/69
1. What is the HCF of 220,366,288?
The HCF of 220,366,288 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 220/67, 366/98, 288/69?
Answer: GCF of Numerators as per given numbers 220/67, 366/98, 288/69 is
GCF of Numerators i.e. for 220,366,288 is 2
LCM of denominators i.e. for 67,98,69 is 453054.
Thus, GCF of Fractions is 2/453054.Finally, GCF of Fractions for 220/67, 366/98, 288/69 is 2/453054.