GCF of 23/866, 994/684, 234/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 23/866, 994/684, 234/916 i.e 1/67823388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/866, 994/684, 234/916.
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 23/866,994/684,234/916?
Given fractions are 23/866,994/684,234/916
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 23/866,994/684,234/916, numerators are 23,994,234
Denominators are 866,684,916
The GCF of 23,994,234 is 1 .
LCM of 866,684,916 is 67823388.
The greatest common factor of 23/866,994/684,234/916 = [GCF of 23,994,234]/[LCM of 866,684,916]= 1/67823388
Therefore, the GCF of 23/866,994/684,234/916 is 1/67823388.
To find the highest common factor of 23,994,234, 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 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 23,994,234 is 1.
Lets's calculate GCF of 23,994,234
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 23,994,234 By Matching Biggest Common Factor Method
Now, list down the factors of 23
:1,23
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 23,994,234 . The biggest common factor number is the GCF number.
So the greatest common factor 23,994,234 is 1.
Lets's calculate LCM of 866,684,916
| 2 | 866, 684, 916 |
| 2 | 433, 342, 458 |
| 433, 171, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 433 x 171 x 229 = 67823388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67823388
Therefore, the GCF of Fractions 23/866,994/684,234/916 is 1/67823388
Least Common Multiple of 866,684,916 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 866,684,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,684,916) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(866,684,916) x common factors =2 x 4 = 8
LCM(866,684,916) = ( 866 × 684 × 916 ) / 8
LCM(866,684,916) = 542587104 / 8
LCM(866,684,916) = 67823388
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FAQs on GCF of Fractions of 23/866, 994/684, 234/916
1. What is the HCF of 23,994,234?
The HCF of 23,994,234 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 23/866, 994/684, 234/916?
Answer: GCF of Numerators as per given numbers 23/866, 994/684, 234/916 is
GCF of Numerators i.e. for 23,994,234 is 1
LCM of denominators i.e. for 866,684,916 is 67823388.
Thus, GCF of Fractions is 1/67823388.Finally, GCF of Fractions for 23/866, 994/684, 234/916 is 1/67823388.