GCF of 192/894, 1282/6407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 192/894, 1282/6407 i.e 2/38442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/894, 1282/6407.
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 192/894,1282/6407?
Given fractions are 192/894,1282/6407
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 192/894,1282/6407, numerators are 192,1282
Denominators are 894,6407
The GCF of 192,1282 is 2 .
LCM of 894,6407 is 38442.
The greatest common factor of 192/894,1282/6407 = [GCF of 192,1282]/[LCM of 894,6407]= 2/38442
Therefore, the GCF of 192/894,1282/6407 is 2/38442.
To find the highest common factor of 192,1282, we have to find the factors of both numbers and list the highest common factor.
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 1282 are 1, 2, 641, 1282
The HCF of 192,1282 is 2.
Lets's calculate GCF of 192,1282
| 2 | 192, 1282 |
| 96, 641 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 192,1282 By Matching Biggest Common Factor Method
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Now, list down the factors of 1282
:1,2,641,1282
Greatest Common Factor
We found the factors 192,1282 . The biggest common factor number is the GCF number.
So the greatest common factor 192,1282 is 2.
Lets's calculate LCM of 894,6407
| 149 | 894, 6407 |
| 6, 43 |
∴ So the LCM of the given numbers is 149 x 6 x 43 = 38442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38442
Therefore, the GCF of Fractions 192/894,1282/6407 is 2/38442
Least Common Multiple of 894,6407 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 894,6407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,6407) = 149
common factors(in case of two or more numbers have common factors) = 1
GCF(894,6407) x common factors =149 x 1 = 149
LCM(894,6407) = ( 894 × 6407 ) / 149
LCM(894,6407) = 5727858 / 149
LCM(894,6407) = 38442
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FAQs on GCF of Fractions of 192/894, 1282/6407
1. What is the HCF of 192,1282?
The HCF of 192,1282 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 192/894, 1282/6407?
Answer: GCF of Numerators as per given numbers 192/894, 1282/6407 is
GCF of Numerators i.e. for 192,1282 is 2
LCM of denominators i.e. for 894,6407 is 38442.
Thus, GCF of Fractions is 2/38442.Finally, GCF of Fractions for 192/894, 1282/6407 is 2/38442.