GCF of 33/921, 850/682, 700/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 33/921, 850/682, 700/834 i.e 1/87308958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/921, 850/682, 700/834.
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 33/921,850/682,700/834?
Given fractions are 33/921,850/682,700/834
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 33/921,850/682,700/834, numerators are 33,850,700
Denominators are 921,682,834
The GCF of 33,850,700 is 1 .
LCM of 921,682,834 is 87308958.
The greatest common factor of 33/921,850/682,700/834 = [GCF of 33,850,700]/[LCM of 921,682,834]= 1/87308958
Therefore, the GCF of 33/921,850/682,700/834 is 1/87308958.
To find the highest common factor of 33,850,700, 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 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The HCF of 33,850,700 is 1.
Lets's calculate GCF of 33,850,700
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 33,850,700 By Matching Biggest Common Factor Method
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 33,850,700 . The biggest common factor number is the GCF number.
So the greatest common factor 33,850,700 is 1.
Lets's calculate LCM of 921,682,834
| 2 | 921, 682, 834 |
| 3 | 921, 341, 417 |
| 307, 341, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 307 x 341 x 139 = 87308958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87308958
Therefore, the GCF of Fractions 33/921,850/682,700/834 is 1/87308958
Least Common Multiple of 921,682,834 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 921,682,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,682,834) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(921,682,834) x common factors =1 x 6 = 6
LCM(921,682,834) = ( 921 × 682 × 834 ) / 6
LCM(921,682,834) = 523853748 / 6
LCM(921,682,834) = 87308958
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FAQs on GCF of Fractions of 33/921, 850/682, 700/834
1. What is the HCF of 33,850,700?
The HCF of 33,850,700 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 33/921, 850/682, 700/834?
Answer: GCF of Numerators as per given numbers 33/921, 850/682, 700/834 is
GCF of Numerators i.e. for 33,850,700 is 1
LCM of denominators i.e. for 921,682,834 is 87308958.
Thus, GCF of Fractions is 1/87308958.Finally, GCF of Fractions for 33/921, 850/682, 700/834 is 1/87308958.