GCF of 34/99, 96/99, 926/812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/99, 96/99, 926/812 i.e 2/80388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/99, 96/99, 926/812.
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 34/99,96/99,926/812?
Given fractions are 34/99,96/99,926/812
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 34/99,96/99,926/812, numerators are 34,96,926
Denominators are 99,99,812
The GCF of 34,96,926 is 2 .
LCM of 99,99,812 is 80388.
The greatest common factor of 34/99,96/99,926/812 = [GCF of 34,96,926]/[LCM of 99,99,812]= 2/80388
Therefore, the GCF of 34/99,96/99,926/812 is 2/80388.
To find the highest common factor of 34,96,926, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 926 are 1, 2, 463, 926
The HCF of 34,96,926 is 2.
Lets's calculate GCF of 34,96,926
| 2 | 34, 96, 926 |
| 17, 48, 463 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,96,926 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 926
:1,2,463,926
Greatest Common Factor
We found the factors 34,96,926 . The biggest common factor number is the GCF number.
So the greatest common factor 34,96,926 is 2.
Lets's calculate LCM of 99,99,812
| 3 | 99, 99, 812 |
| 3 | 33, 33, 812 |
| 11 | 11, 11, 812 |
| 1, 1, 812 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 1 x 1 x 812 = 80388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80388
Therefore, the GCF of Fractions 34/99,96/99,926/812 is 2/80388
Least Common Multiple of 99,99,812 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 99,99,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,99,812) = 1
common factors(in case of two or more numbers have common factors) = 99
GCF(99,99,812) x common factors =1 x 99 = 99
LCM(99,99,812) = ( 99 × 99 × 812 ) / 99
LCM(99,99,812) = 7958412 / 99
LCM(99,99,812) = 80388
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FAQs on GCF of Fractions of 34/99, 96/99, 926/812
1. What is the HCF of 34,96,926?
The HCF of 34,96,926 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 34/99, 96/99, 926/812?
Answer: GCF of Numerators as per given numbers 34/99, 96/99, 926/812 is
GCF of Numerators i.e. for 34,96,926 is 2
LCM of denominators i.e. for 99,99,812 is 80388.
Thus, GCF of Fractions is 2/80388.Finally, GCF of Fractions for 34/99, 96/99, 926/812 is 2/80388.