GCF of 8094/382, 1927/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8094/382, 1927/912 i.e 1/174192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8094/382, 1927/912.
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 8094/382,1927/912?
Given fractions are 8094/382,1927/912
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 8094/382,1927/912, numerators are 8094,1927
Denominators are 382,912
The GCF of 8094,1927 is 1 .
LCM of 382,912 is 174192.
The greatest common factor of 8094/382,1927/912 = [GCF of 8094,1927]/[LCM of 382,912]= 1/174192
Therefore, the GCF of 8094/382,1927/912 is 1/174192.
To find the highest common factor of 8094,1927, we have to find the factors of both numbers and list the highest common factor.
The factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094
The factors of 1927 are 1, 41, 47, 1927
The HCF of 8094,1927 is 1.
Lets's calculate GCF of 8094,1927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8094,1927 By Matching Biggest Common Factor Method
Now, list down the factors of 8094
:1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094
Now, list down the factors of 1927
:1,41,47,1927
Greatest Common Factor
We found the factors 8094,1927 . The biggest common factor number is the GCF number.
So the greatest common factor 8094,1927 is 1.
Lets's calculate LCM of 382,912
| 2 | 382, 912 |
| 191, 456 |
∴ So the LCM of the given numbers is 2 x 191 x 456 = 174192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174192
Therefore, the GCF of Fractions 8094/382,1927/912 is 1/174192
Least Common Multiple of 382,912 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 382,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,912) x common factors =2 x 1 = 2
LCM(382,912) = ( 382 × 912 ) / 2
LCM(382,912) = 348384 / 2
LCM(382,912) = 174192
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FAQs on GCF of Fractions of 8094/382, 1927/912
1. What is the HCF of 8094,1927?
The HCF of 8094,1927 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 8094/382, 1927/912?
Answer: GCF of Numerators as per given numbers 8094/382, 1927/912 is
GCF of Numerators i.e. for 8094,1927 is 1
LCM of denominators i.e. for 382,912 is 174192.
Thus, GCF of Fractions is 1/174192.Finally, GCF of Fractions for 8094/382, 1927/912 is 1/174192.