GCF of 33/129, 30/926, 822/169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 33/129, 30/926, 822/169 i.e 3/20187726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/129, 30/926, 822/169.
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 33/129,30/926,822/169?
Given fractions are 33/129,30/926,822/169
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 33/129,30/926,822/169, numerators are 33,30,822
Denominators are 129,926,169
The GCF of 33,30,822 is 3 .
LCM of 129,926,169 is 20187726.
The greatest common factor of 33/129,30/926,822/169 = [GCF of 33,30,822]/[LCM of 129,926,169]= 3/20187726
Therefore, the GCF of 33/129,30/926,822/169 is 3/20187726.
To find the highest common factor of 33,30,822, we have to find the factors of both numbers and list the highest common factor.
The factors of 33 are 1, 3, 11, 33
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 33,30,822 is 3.
Lets's calculate GCF of 33,30,822
| 3 | 33, 30, 822 |
| 11, 10, 274 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 33,30,822 By Matching Biggest Common Factor Method
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 33,30,822 . The biggest common factor number is the GCF number.
So the greatest common factor 33,30,822 is 3.
Lets's calculate LCM of 129,926,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 20187726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20187726
Therefore, the GCF of Fractions 33/129,30/926,822/169 is 3/20187726
Least Common Multiple of 129,926,169 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 129,926,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,926,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,926,169) x common factors =1 x 1 = 1
LCM(129,926,169) = ( 129 × 926 × 169 ) / 1
LCM(129,926,169) = 20187726 / 1
LCM(129,926,169) = 20187726
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FAQs on GCF of Fractions of 33/129, 30/926, 822/169
1. What is the HCF of 33,30,822?
The HCF of 33,30,822 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 33/129, 30/926, 822/169?
Answer: GCF of Numerators as per given numbers 33/129, 30/926, 822/169 is
GCF of Numerators i.e. for 33,30,822 is 3
LCM of denominators i.e. for 129,926,169 is 20187726.
Thus, GCF of Fractions is 3/20187726.Finally, GCF of Fractions for 33/129, 30/926, 822/169 is 3/20187726.