GCF of 4730/234, 3131/9922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4730/234, 3131/9922 i.e 1/1160874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4730/234, 3131/9922.
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 4730/234,3131/9922?
Given fractions are 4730/234,3131/9922
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 4730/234,3131/9922, numerators are 4730,3131
Denominators are 234,9922
The GCF of 4730,3131 is 1 .
LCM of 234,9922 is 1160874.
The greatest common factor of 4730/234,3131/9922 = [GCF of 4730,3131]/[LCM of 234,9922]= 1/1160874
Therefore, the GCF of 4730/234,3131/9922 is 1/1160874.
To find the highest common factor of 4730,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730
The factors of 3131 are 1, 31, 101, 3131
The HCF of 4730,3131 is 1.
Lets's calculate GCF of 4730,3131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4730,3131 By Matching Biggest Common Factor Method
Now, list down the factors of 4730
:1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 4730,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 4730,3131 is 1.
Lets's calculate LCM of 234,9922
| 2 | 234, 9922 |
| 117, 4961 |
∴ So the LCM of the given numbers is 2 x 117 x 4961 = 1160874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1160874
Therefore, the GCF of Fractions 4730/234,3131/9922 is 1/1160874
Least Common Multiple of 234,9922 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 234,9922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,9922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(234,9922) x common factors =2 x 1 = 2
LCM(234,9922) = ( 234 × 9922 ) / 2
LCM(234,9922) = 2321748 / 2
LCM(234,9922) = 1160874
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FAQs on GCF of Fractions of 4730/234, 3131/9922
1. What is the HCF of 4730,3131?
The HCF of 4730,3131 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 4730/234, 3131/9922?
Answer: GCF of Numerators as per given numbers 4730/234, 3131/9922 is
GCF of Numerators i.e. for 4730,3131 is 1
LCM of denominators i.e. for 234,9922 is 1160874.
Thus, GCF of Fractions is 1/1160874.Finally, GCF of Fractions for 4730/234, 3131/9922 is 1/1160874.