GCF of 288/27, 202/7306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 288/27, 202/7306 i.e 2/197262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 288/27, 202/7306.
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 288/27,202/7306?
Given fractions are 288/27,202/7306
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 288/27,202/7306, numerators are 288,202
Denominators are 27,7306
The GCF of 288,202 is 2 .
LCM of 27,7306 is 197262.
The greatest common factor of 288/27,202/7306 = [GCF of 288,202]/[LCM of 27,7306]= 2/197262
Therefore, the GCF of 288/27,202/7306 is 2/197262.
To find the highest common factor of 288,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The factors of 202 are 1, 2, 101, 202
The HCF of 288,202 is 2.
Lets's calculate GCF of 288,202
| 2 | 288, 202 |
| 144, 101 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 288,202 By Matching Biggest Common Factor Method
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
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 288,202 . The biggest common factor number is the GCF number.
So the greatest common factor 288,202 is 2.
Lets's calculate LCM of 27,7306
Given numbers has no common factors except 1. So, there LCM is their product i.e 197262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197262
Therefore, the GCF of Fractions 288/27,202/7306 is 2/197262
Least Common Multiple of 27,7306 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 27,7306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,7306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,7306) x common factors =1 x 1 = 1
LCM(27,7306) = ( 27 × 7306 ) / 1
LCM(27,7306) = 197262 / 1
LCM(27,7306) = 197262
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FAQs on GCF of Fractions of 288/27, 202/7306
1. What is the HCF of 288,202?
The HCF of 288,202 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 288/27, 202/7306?
Answer: GCF of Numerators as per given numbers 288/27, 202/7306 is
GCF of Numerators i.e. for 288,202 is 2
LCM of denominators i.e. for 27,7306 is 197262.
Thus, GCF of Fractions is 2/197262.Finally, GCF of Fractions for 288/27, 202/7306 is 2/197262.