GCF of 36/16, 272/25, 998/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/16, 272/25, 998/767 i.e 2/306800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/16, 272/25, 998/767.
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 36/16,272/25,998/767?
Given fractions are 36/16,272/25,998/767
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 36/16,272/25,998/767, numerators are 36,272,998
Denominators are 16,25,767
The GCF of 36,272,998 is 2 .
LCM of 16,25,767 is 306800.
The greatest common factor of 36/16,272/25,998/767 = [GCF of 36,272,998]/[LCM of 16,25,767]= 2/306800
Therefore, the GCF of 36/16,272/25,998/767 is 2/306800.
To find the highest common factor of 36,272,998, 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 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
The factors of 998 are 1, 2, 499, 998
The HCF of 36,272,998 is 2.
Lets's calculate GCF of 36,272,998
| 2 | 36, 272, 998 |
| 18, 136, 499 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 36,272,998 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 272
:1,2,4,8,16,17,34,68,136,272
Now, list down the factors of 998
:1,2,499,998
Greatest Common Factor
We found the factors 36,272,998 . The biggest common factor number is the GCF number.
So the greatest common factor 36,272,998 is 2.
Lets's calculate LCM of 16,25,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 306800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306800
Therefore, the GCF of Fractions 36/16,272/25,998/767 is 2/306800
Least Common Multiple of 16,25,767 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 16,25,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,25,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,25,767) x common factors =1 x 1 = 1
LCM(16,25,767) = ( 16 × 25 × 767 ) / 1
LCM(16,25,767) = 306800 / 1
LCM(16,25,767) = 306800
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FAQs on GCF of Fractions of 36/16, 272/25, 998/767
1. What is the HCF of 36,272,998?
The HCF of 36,272,998 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 36/16, 272/25, 998/767?
Answer: GCF of Numerators as per given numbers 36/16, 272/25, 998/767 is
GCF of Numerators i.e. for 36,272,998 is 2
LCM of denominators i.e. for 16,25,767 is 306800.
Thus, GCF of Fractions is 2/306800.Finally, GCF of Fractions for 36/16, 272/25, 998/767 is 2/306800.