GCF of 9771/438, 4602/5010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9771/438, 4602/5010 i.e 3/365730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9771/438, 4602/5010.
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 9771/438,4602/5010?
Given fractions are 9771/438,4602/5010
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 9771/438,4602/5010, numerators are 9771,4602
Denominators are 438,5010
The GCF of 9771,4602 is 3 .
LCM of 438,5010 is 365730.
The greatest common factor of 9771/438,4602/5010 = [GCF of 9771,4602]/[LCM of 438,5010]= 3/365730
Therefore, the GCF of 9771/438,4602/5010 is 3/365730.
To find the highest common factor of 9771,4602, we have to find the factors of both numbers and list the highest common factor.
The factors of 9771 are 1, 3, 3257, 9771
The factors of 4602 are 1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602
The HCF of 9771,4602 is 3.
Lets's calculate GCF of 9771,4602
| 3 | 9771, 4602 |
| 3257, 1534 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9771,4602 By Matching Biggest Common Factor Method
Now, list down the factors of 9771
:1,3,3257,9771
Now, list down the factors of 4602
:1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Greatest Common Factor
We found the factors 9771,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 9771,4602 is 3.
Lets's calculate LCM of 438,5010
| 2 | 438, 5010 |
| 3 | 219, 2505 |
| 73, 835 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 835 = 365730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/365730
Therefore, the GCF of Fractions 9771/438,4602/5010 is 3/365730
Least Common Multiple of 438,5010 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 438,5010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,5010) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(438,5010) x common factors =6 x 1 = 6
LCM(438,5010) = ( 438 × 5010 ) / 6
LCM(438,5010) = 2194380 / 6
LCM(438,5010) = 365730
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9771/438, 4602/5010
1. What is the HCF of 9771,4602?
The HCF of 9771,4602 is 3
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 9771/438, 4602/5010?
Answer: GCF of Numerators as per given numbers 9771/438, 4602/5010 is
GCF of Numerators i.e. for 9771,4602 is 3
LCM of denominators i.e. for 438,5010 is 365730.
Thus, GCF of Fractions is 3/365730.Finally, GCF of Fractions for 9771/438, 4602/5010 is 3/365730.