GCF of 4981/942, 9183/3722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4981/942, 9183/3722 i.e 1/1753062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4981/942, 9183/3722.
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 4981/942,9183/3722?
Given fractions are 4981/942,9183/3722
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 4981/942,9183/3722, numerators are 4981,9183
Denominators are 942,3722
The GCF of 4981,9183 is 1 .
LCM of 942,3722 is 1753062.
The greatest common factor of 4981/942,9183/3722 = [GCF of 4981,9183]/[LCM of 942,3722]= 1/1753062
Therefore, the GCF of 4981/942,9183/3722 is 1/1753062.
To find the highest common factor of 4981,9183, we have to find the factors of both numbers and list the highest common factor.
The factors of 4981 are 1, 17, 293, 4981
The factors of 9183 are 1, 3, 3061, 9183
The HCF of 4981,9183 is 1.
Lets's calculate GCF of 4981,9183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4981,9183 By Matching Biggest Common Factor Method
Now, list down the factors of 4981
:1,17,293,4981
Now, list down the factors of 9183
:1,3,3061,9183
Greatest Common Factor
We found the factors 4981,9183 . The biggest common factor number is the GCF number.
So the greatest common factor 4981,9183 is 1.
Lets's calculate LCM of 942,3722
| 2 | 942, 3722 |
| 471, 1861 |
∴ So the LCM of the given numbers is 2 x 471 x 1861 = 1753062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1753062
Therefore, the GCF of Fractions 4981/942,9183/3722 is 1/1753062
Least Common Multiple of 942,3722 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 942,3722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,3722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,3722) x common factors =2 x 1 = 2
LCM(942,3722) = ( 942 × 3722 ) / 2
LCM(942,3722) = 3506124 / 2
LCM(942,3722) = 1753062
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4981/942, 9183/3722
1. What is the HCF of 4981,9183?
The HCF of 4981,9183 is 1
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 4981/942, 9183/3722?
Answer: GCF of Numerators as per given numbers 4981/942, 9183/3722 is
GCF of Numerators i.e. for 4981,9183 is 1
LCM of denominators i.e. for 942,3722 is 1753062.
Thus, GCF of Fractions is 1/1753062.Finally, GCF of Fractions for 4981/942, 9183/3722 is 1/1753062.