GCF of 36/65, 66/95, 551/906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/65, 66/95, 551/906 i.e 1/1118910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/65, 66/95, 551/906.
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 36/65,66/95,551/906?
Given fractions are 36/65,66/95,551/906
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 36/65,66/95,551/906, numerators are 36,66,551
Denominators are 65,95,906
The GCF of 36,66,551 is 1 .
LCM of 65,95,906 is 1118910.
The greatest common factor of 36/65,66/95,551/906 = [GCF of 36,66,551]/[LCM of 65,95,906]= 1/1118910
Therefore, the GCF of 36/65,66/95,551/906 is 1/1118910.
To find the highest common factor of 36,66,551, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 551 are 1, 19, 29, 551
The HCF of 36,66,551 is 1.
Lets's calculate GCF of 36,66,551
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,66,551 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 551
:1,19,29,551
Greatest Common Factor
We found the factors 36,66,551 . The biggest common factor number is the GCF number.
So the greatest common factor 36,66,551 is 1.
Lets's calculate LCM of 65,95,906
| 5 | 65, 95, 906 |
| 13, 19, 906 |
∴ So the LCM of the given numbers is 5 x 13 x 19 x 906 = 1118910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1118910
Therefore, the GCF of Fractions 36/65,66/95,551/906 is 1/1118910
Least Common Multiple of 65,95,906 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 65,95,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,95,906) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,95,906) x common factors =1 x 5 = 5
LCM(65,95,906) = ( 65 × 95 × 906 ) / 5
LCM(65,95,906) = 5594550 / 5
LCM(65,95,906) = 1118910
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FAQs on GCF of Fractions of 36/65, 66/95, 551/906
1. What is the HCF of 36,66,551?
The HCF of 36,66,551 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 36/65, 66/95, 551/906?
Answer: GCF of Numerators as per given numbers 36/65, 66/95, 551/906 is
GCF of Numerators i.e. for 36,66,551 is 1
LCM of denominators i.e. for 65,95,906 is 1118910.
Thus, GCF of Fractions is 1/1118910.Finally, GCF of Fractions for 36/65, 66/95, 551/906 is 1/1118910.