GCF of 816/859, 108/636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 816/859, 108/636 i.e 12/546324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 816/859, 108/636.
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 816/859,108/636?
Given fractions are 816/859,108/636
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 816/859,108/636, numerators are 816,108
Denominators are 859,636
The GCF of 816,108 is 12 .
LCM of 859,636 is 546324.
The greatest common factor of 816/859,108/636 = [GCF of 816,108]/[LCM of 859,636]= 12/546324
Therefore, the GCF of 816/859,108/636 is 12/546324.
To find the highest common factor of 816,108, we have to find the factors of both numbers and list the highest common factor.
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The HCF of 816,108 is 12.
Lets's calculate GCF of 816,108
| 2 | 816, 108 |
| 2 | 408, 54 |
| 3 | 204, 27 |
| 68, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 816,108 By Matching Biggest Common Factor Method
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 816,108 . The biggest common factor number is the GCF number.
So the greatest common factor 816,108 is 12.
Lets's calculate LCM of 859,636
Given numbers has no common factors except 1. So, there LCM is their product i.e 546324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/546324
Therefore, the GCF of Fractions 816/859,108/636 is 12/546324
Least Common Multiple of 859,636 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 859,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,636) x common factors =1 x 1 = 1
LCM(859,636) = ( 859 × 636 ) / 1
LCM(859,636) = 546324 / 1
LCM(859,636) = 546324
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FAQs on GCF of Fractions of 816/859, 108/636
1. What is the HCF of 816,108?
The HCF of 816,108 is 12
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 816/859, 108/636?
Answer: GCF of Numerators as per given numbers 816/859, 108/636 is
GCF of Numerators i.e. for 816,108 is 12
LCM of denominators i.e. for 859,636 is 546324.
Thus, GCF of Fractions is 12/546324.Finally, GCF of Fractions for 816/859, 108/636 is 12/546324.