GCF of 234/35, 303/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 234/35, 303/369 i.e 3/12915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 234/35, 303/369.
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 234/35,303/369?
Given fractions are 234/35,303/369
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 234/35,303/369, numerators are 234,303
Denominators are 35,369
The GCF of 234,303 is 3 .
LCM of 35,369 is 12915.
The greatest common factor of 234/35,303/369 = [GCF of 234,303]/[LCM of 35,369]= 3/12915
Therefore, the GCF of 234/35,303/369 is 3/12915.
To find the highest common factor of 234,303, we have to find the factors of both numbers and list the highest common factor.
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The factors of 303 are 1, 3, 101, 303
The HCF of 234,303 is 3.
Lets's calculate GCF of 234,303
| 3 | 234, 303 |
| 78, 101 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 234,303 By Matching Biggest Common Factor Method
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Now, list down the factors of 303
:1,3,101,303
Greatest Common Factor
We found the factors 234,303 . The biggest common factor number is the GCF number.
So the greatest common factor 234,303 is 3.
Lets's calculate LCM of 35,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 12915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12915
Therefore, the GCF of Fractions 234/35,303/369 is 3/12915
Least Common Multiple of 35,369 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 35,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,369) x common factors =1 x 1 = 1
LCM(35,369) = ( 35 × 369 ) / 1
LCM(35,369) = 12915 / 1
LCM(35,369) = 12915
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FAQs on GCF of Fractions of 234/35, 303/369
1. What is the HCF of 234,303?
The HCF of 234,303 is 3
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 234/35, 303/369?
Answer: GCF of Numerators as per given numbers 234/35, 303/369 is
GCF of Numerators i.e. for 234,303 is 3
LCM of denominators i.e. for 35,369 is 12915.
Thus, GCF of Fractions is 3/12915.Finally, GCF of Fractions for 234/35, 303/369 is 3/12915.