GCF of 23/678, 82/212, 700/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 23/678, 82/212, 700/865 i.e 1/62165820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/678, 82/212, 700/865.
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 23/678,82/212,700/865?
Given fractions are 23/678,82/212,700/865
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 23/678,82/212,700/865, numerators are 23,82,700
Denominators are 678,212,865
The GCF of 23,82,700 is 1 .
LCM of 678,212,865 is 62165820.
The greatest common factor of 23/678,82/212,700/865 = [GCF of 23,82,700]/[LCM of 678,212,865]= 1/62165820
Therefore, the GCF of 23/678,82/212,700/865 is 1/62165820.
To find the highest common factor of 23,82,700, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 82 are 1, 2, 41, 82
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 23,82,700 is 1.
Lets's calculate GCF of 23,82,700
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 23,82,700 By Matching Biggest Common Factor Method
Now, list down the factors of 23
:1,23
Now, list down the factors of 82
:1,2,41,82
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 23,82,700 . The biggest common factor number is the GCF number.
So the greatest common factor 23,82,700 is 1.
Lets's calculate LCM of 678,212,865
| 2 | 678, 212, 865 |
| 339, 106, 865 |
∴ So the LCM of the given numbers is 2 x 339 x 106 x 865 = 62165820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62165820
Therefore, the GCF of Fractions 23/678,82/212,700/865 is 1/62165820
Least Common Multiple of 678,212,865 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 678,212,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,212,865) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(678,212,865) x common factors =1 x 2 = 2
LCM(678,212,865) = ( 678 × 212 × 865 ) / 2
LCM(678,212,865) = 124331640 / 2
LCM(678,212,865) = 62165820
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FAQs on GCF of Fractions of 23/678, 82/212, 700/865
1. What is the HCF of 23,82,700?
The HCF of 23,82,700 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 23/678, 82/212, 700/865?
Answer: GCF of Numerators as per given numbers 23/678, 82/212, 700/865 is
GCF of Numerators i.e. for 23,82,700 is 1
LCM of denominators i.e. for 678,212,865 is 62165820.
Thus, GCF of Fractions is 1/62165820.Finally, GCF of Fractions for 23/678, 82/212, 700/865 is 1/62165820.