GCF of 3131/818, 9999/9646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3131/818, 9999/9646 i.e 101/3945214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3131/818, 9999/9646.
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 3131/818,9999/9646?
Given fractions are 3131/818,9999/9646
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 3131/818,9999/9646, numerators are 3131,9999
Denominators are 818,9646
The GCF of 3131,9999 is 101 .
LCM of 818,9646 is 3945214.
The greatest common factor of 3131/818,9999/9646 = [GCF of 3131,9999]/[LCM of 818,9646]= 101/3945214
Therefore, the GCF of 3131/818,9999/9646 is 101/3945214.
To find the highest common factor of 3131,9999, we have to find the factors of both numbers and list the highest common factor.
The factors of 3131 are 1, 31, 101, 3131
The factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999
The HCF of 3131,9999 is 101.
Lets's calculate GCF of 3131,9999
| 101 | 3131, 9999 |
| 31, 99 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 3131,9999 By Matching Biggest Common Factor Method
Now, list down the factors of 3131
:1,31,101,3131
Now, list down the factors of 9999
:1,3,9,11,33,99,101,303,909,1111,3333,9999
Greatest Common Factor
We found the factors 3131,9999 . The biggest common factor number is the GCF number.
So the greatest common factor 3131,9999 is 101.
Lets's calculate LCM of 818,9646
| 2 | 818, 9646 |
| 409, 4823 |
∴ So the LCM of the given numbers is 2 x 409 x 4823 = 3945214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/3945214
Therefore, the GCF of Fractions 3131/818,9999/9646 is 101/3945214
Least Common Multiple of 818,9646 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 818,9646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,9646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,9646) x common factors =2 x 1 = 2
LCM(818,9646) = ( 818 × 9646 ) / 2
LCM(818,9646) = 7890428 / 2
LCM(818,9646) = 3945214
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FAQs on GCF of Fractions of 3131/818, 9999/9646
1. What is the HCF of 3131,9999?
The HCF of 3131,9999 is 101
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 3131/818, 9999/9646?
Answer: GCF of Numerators as per given numbers 3131/818, 9999/9646 is
GCF of Numerators i.e. for 3131,9999 is 101
LCM of denominators i.e. for 818,9646 is 3945214.
Thus, GCF of Fractions is 101/3945214.Finally, GCF of Fractions for 3131/818, 9999/9646 is 101/3945214.