GCF of 3934/731, 7356/2183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3934/731, 7356/2183 i.e 2/1595773 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3934/731, 7356/2183.
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 3934/731,7356/2183?
Given fractions are 3934/731,7356/2183
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 3934/731,7356/2183, numerators are 3934,7356
Denominators are 731,2183
The GCF of 3934,7356 is 2 .
LCM of 731,2183 is 1595773.
The greatest common factor of 3934/731,7356/2183 = [GCF of 3934,7356]/[LCM of 731,2183]= 2/1595773
Therefore, the GCF of 3934/731,7356/2183 is 2/1595773.
To find the highest common factor of 3934,7356, we have to find the factors of both numbers and list the highest common factor.
The factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934
The factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356
The HCF of 3934,7356 is 2.
Lets's calculate GCF of 3934,7356
| 2 | 3934, 7356 |
| 1967, 3678 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3934,7356 By Matching Biggest Common Factor Method
Now, list down the factors of 3934
:1,2,7,14,281,562,1967,3934
Now, list down the factors of 7356
:1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Greatest Common Factor
We found the factors 3934,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 3934,7356 is 2.
Lets's calculate LCM of 731,2183
Given numbers has no common factors except 1. So, there LCM is their product i.e 1595773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1595773
Therefore, the GCF of Fractions 3934/731,7356/2183 is 2/1595773
Least Common Multiple of 731,2183 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 731,2183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,2183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,2183) x common factors =1 x 1 = 1
LCM(731,2183) = ( 731 × 2183 ) / 1
LCM(731,2183) = 1595773 / 1
LCM(731,2183) = 1595773
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FAQs on GCF of Fractions of 3934/731, 7356/2183
1. What is the HCF of 3934,7356?
The HCF of 3934,7356 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 3934/731, 7356/2183?
Answer: GCF of Numerators as per given numbers 3934/731, 7356/2183 is
GCF of Numerators i.e. for 3934,7356 is 2
LCM of denominators i.e. for 731,2183 is 1595773.
Thus, GCF of Fractions is 2/1595773.Finally, GCF of Fractions for 3934/731, 7356/2183 is 2/1595773.