GCF of 3834/512, 4047/938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3834/512, 4047/938 i.e 213/240128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3834/512, 4047/938.
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 3834/512,4047/938?
Given fractions are 3834/512,4047/938
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 3834/512,4047/938, numerators are 3834,4047
Denominators are 512,938
The GCF of 3834,4047 is 213 .
LCM of 512,938 is 240128.
The greatest common factor of 3834/512,4047/938 = [GCF of 3834,4047]/[LCM of 512,938]= 213/240128
Therefore, the GCF of 3834/512,4047/938 is 213/240128.
To find the highest common factor of 3834,4047, we have to find the factors of both numbers and list the highest common factor.
The factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834
The factors of 4047 are 1, 3, 19, 57, 71, 213, 1349, 4047
The HCF of 3834,4047 is 213.
Lets's calculate GCF of 3834,4047
| 3 | 3834, 4047 |
| 71 | 1278, 1349 |
| 18, 19 |
∴ So the GCF of the given numbers is 3 x 71 = 213
Greatest Common Factor of 3834,4047 By Matching Biggest Common Factor Method
Now, list down the factors of 3834
:1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834
Now, list down the factors of 4047
:1,3,19,57,71,213,1349,4047
Greatest Common Factor
We found the factors 3834,4047 . The biggest common factor number is the GCF number.
So the greatest common factor 3834,4047 is 213.
Lets's calculate LCM of 512,938
| 2 | 512, 938 |
| 256, 469 |
∴ So the LCM of the given numbers is 2 x 256 x 469 = 240128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 213/240128
Therefore, the GCF of Fractions 3834/512,4047/938 is 213/240128
Least Common Multiple of 512,938 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 512,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,938) x common factors =2 x 1 = 2
LCM(512,938) = ( 512 × 938 ) / 2
LCM(512,938) = 480256 / 2
LCM(512,938) = 240128
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FAQs on GCF of Fractions of 3834/512, 4047/938
1. What is the HCF of 3834,4047?
The HCF of 3834,4047 is 213
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 3834/512, 4047/938?
Answer: GCF of Numerators as per given numbers 3834/512, 4047/938 is
GCF of Numerators i.e. for 3834,4047 is 213
LCM of denominators i.e. for 512,938 is 240128.
Thus, GCF of Fractions is 213/240128.Finally, GCF of Fractions for 3834/512, 4047/938 is 213/240128.