GCF of 694/23, 328/51, 214/47
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 694/23, 328/51, 214/47 i.e 2/55131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/23, 328/51, 214/47.
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 694/23,328/51,214/47?
Given fractions are 694/23,328/51,214/47
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 694/23,328/51,214/47, numerators are 694,328,214
Denominators are 23,51,47
The GCF of 694,328,214 is 2 .
LCM of 23,51,47 is 55131.
The greatest common factor of 694/23,328/51,214/47 = [GCF of 694,328,214]/[LCM of 23,51,47]= 2/55131
Therefore, the GCF of 694/23,328/51,214/47 is 2/55131.
To find the highest common factor of 694,328,214, we have to find the factors of both numbers and list the highest common factor.
The factors of 694 are 1, 2, 347, 694
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328
The factors of 214 are 1, 2, 107, 214
The HCF of 694,328,214 is 2.
Lets's calculate GCF of 694,328,214
| 2 | 694, 328, 214 |
| 347, 164, 107 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 694,328,214 By Matching Biggest Common Factor Method
Now, list down the factors of 694
:1,2,347,694
Now, list down the factors of 328
:1,2,4,8,41,82,164,328
Now, list down the factors of 214
:1,2,107,214
Greatest Common Factor
We found the factors 694,328,214 . The biggest common factor number is the GCF number.
So the greatest common factor 694,328,214 is 2.
Lets's calculate LCM of 23,51,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 55131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55131
Therefore, the GCF of Fractions 694/23,328/51,214/47 is 2/55131
Least Common Multiple of 23,51,47 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 23,51,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,51,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,51,47) x common factors =1 x 1 = 1
LCM(23,51,47) = ( 23 × 51 × 47 ) / 1
LCM(23,51,47) = 55131 / 1
LCM(23,51,47) = 55131
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FAQs on GCF of Fractions of 694/23, 328/51, 214/47
1. What is the HCF of 694,328,214?
The HCF of 694,328,214 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 694/23, 328/51, 214/47?
Answer: GCF of Numerators as per given numbers 694/23, 328/51, 214/47 is
GCF of Numerators i.e. for 694,328,214 is 2
LCM of denominators i.e. for 23,51,47 is 55131.
Thus, GCF of Fractions is 2/55131.Finally, GCF of Fractions for 694/23, 328/51, 214/47 is 2/55131.