GCF of 236/35, 540/20, 249/57
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 236/35, 540/20, 249/57 i.e 1/7980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/35, 540/20, 249/57.
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 236/35,540/20,249/57?
Given fractions are 236/35,540/20,249/57
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 236/35,540/20,249/57, numerators are 236,540,249
Denominators are 35,20,57
The GCF of 236,540,249 is 1 .
LCM of 35,20,57 is 7980.
The greatest common factor of 236/35,540/20,249/57 = [GCF of 236,540,249]/[LCM of 35,20,57]= 1/7980
Therefore, the GCF of 236/35,540/20,249/57 is 1/7980.
To find the highest common factor of 236,540,249, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
The factors of 249 are 1, 3, 83, 249
The HCF of 236,540,249 is 1.
Lets's calculate GCF of 236,540,249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 236,540,249 By Matching Biggest Common Factor Method
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 540
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Now, list down the factors of 249
:1,3,83,249
Greatest Common Factor
We found the factors 236,540,249 . The biggest common factor number is the GCF number.
So the greatest common factor 236,540,249 is 1.
Lets's calculate LCM of 35,20,57
| 5 | 35, 20, 57 |
| 7, 4, 57 |
∴ So the LCM of the given numbers is 5 x 7 x 4 x 57 = 7980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7980
Therefore, the GCF of Fractions 236/35,540/20,249/57 is 1/7980
Least Common Multiple of 35,20,57 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 35,20,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,20,57) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,20,57) x common factors =1 x 5 = 5
LCM(35,20,57) = ( 35 × 20 × 57 ) / 5
LCM(35,20,57) = 39900 / 5
LCM(35,20,57) = 7980
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FAQs on GCF of Fractions of 236/35, 540/20, 249/57
1. What is the HCF of 236,540,249?
The HCF of 236,540,249 is 1
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 236/35, 540/20, 249/57?
Answer: GCF of Numerators as per given numbers 236/35, 540/20, 249/57 is
GCF of Numerators i.e. for 236,540,249 is 1
LCM of denominators i.e. for 35,20,57 is 7980.
Thus, GCF of Fractions is 1/7980.Finally, GCF of Fractions for 236/35, 540/20, 249/57 is 1/7980.