GCF of 1932/304, 3064/623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1932/304, 3064/623 i.e 4/189392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1932/304, 3064/623.
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 1932/304,3064/623?
Given fractions are 1932/304,3064/623
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 1932/304,3064/623, numerators are 1932,3064
Denominators are 304,623
The GCF of 1932,3064 is 4 .
LCM of 304,623 is 189392.
The greatest common factor of 1932/304,3064/623 = [GCF of 1932,3064]/[LCM of 304,623]= 4/189392
Therefore, the GCF of 1932/304,3064/623 is 4/189392.
To find the highest common factor of 1932,3064, we have to find the factors of both numbers and list the highest common factor.
The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
The factors of 3064 are 1, 2, 4, 8, 383, 766, 1532, 3064
The HCF of 1932,3064 is 4.
Lets's calculate GCF of 1932,3064
| 2 | 1932, 3064 |
| 2 | 966, 1532 |
| 483, 766 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1932,3064 By Matching Biggest Common Factor Method
Now, list down the factors of 1932
:1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Now, list down the factors of 3064
:1,2,4,8,383,766,1532,3064
Greatest Common Factor
We found the factors 1932,3064 . The biggest common factor number is the GCF number.
So the greatest common factor 1932,3064 is 4.
Lets's calculate LCM of 304,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 189392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/189392
Therefore, the GCF of Fractions 1932/304,3064/623 is 4/189392
Least Common Multiple of 304,623 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 304,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,623) x common factors =1 x 1 = 1
LCM(304,623) = ( 304 × 623 ) / 1
LCM(304,623) = 189392 / 1
LCM(304,623) = 189392
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FAQs on GCF of Fractions of 1932/304, 3064/623
1. What is the HCF of 1932,3064?
The HCF of 1932,3064 is 4
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 1932/304, 3064/623?
Answer: GCF of Numerators as per given numbers 1932/304, 3064/623 is
GCF of Numerators i.e. for 1932,3064 is 4
LCM of denominators i.e. for 304,623 is 189392.
Thus, GCF of Fractions is 4/189392.Finally, GCF of Fractions for 1932/304, 3064/623 is 4/189392.