GCF of 1932/814, 4976/4376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1932/814, 4976/4376 i.e 4/1781032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1932/814, 4976/4376.
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 1932/814,4976/4376?
Given fractions are 1932/814,4976/4376
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 1932/814,4976/4376, numerators are 1932,4976
Denominators are 814,4376
The GCF of 1932,4976 is 4 .
LCM of 814,4376 is 1781032.
The greatest common factor of 1932/814,4976/4376 = [GCF of 1932,4976]/[LCM of 814,4376]= 4/1781032
Therefore, the GCF of 1932/814,4976/4376 is 4/1781032.
To find the highest common factor of 1932,4976, 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 4976 are 1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976
The HCF of 1932,4976 is 4.
Lets's calculate GCF of 1932,4976
| 2 | 1932, 4976 |
| 2 | 966, 2488 |
| 483, 1244 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1932,4976 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 4976
:1,2,4,8,16,311,622,1244,2488,4976
Greatest Common Factor
We found the factors 1932,4976 . The biggest common factor number is the GCF number.
So the greatest common factor 1932,4976 is 4.
Lets's calculate LCM of 814,4376
| 2 | 814, 4376 |
| 407, 2188 |
∴ So the LCM of the given numbers is 2 x 407 x 2188 = 1781032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1781032
Therefore, the GCF of Fractions 1932/814,4976/4376 is 4/1781032
Least Common Multiple of 814,4376 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 814,4376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,4376) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,4376) x common factors =2 x 1 = 2
LCM(814,4376) = ( 814 × 4376 ) / 2
LCM(814,4376) = 3562064 / 2
LCM(814,4376) = 1781032
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FAQs on GCF of Fractions of 1932/814, 4976/4376
1. What is the HCF of 1932,4976?
The HCF of 1932,4976 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 1932/814, 4976/4376?
Answer: GCF of Numerators as per given numbers 1932/814, 4976/4376 is
GCF of Numerators i.e. for 1932,4976 is 4
LCM of denominators i.e. for 814,4376 is 1781032.
Thus, GCF of Fractions is 4/1781032.Finally, GCF of Fractions for 1932/814, 4976/4376 is 4/1781032.