GCF of 3921/761, 9867/5905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3921/761, 9867/5905 i.e 3/4493705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3921/761, 9867/5905.
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 3921/761,9867/5905?
Given fractions are 3921/761,9867/5905
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 3921/761,9867/5905, numerators are 3921,9867
Denominators are 761,5905
The GCF of 3921,9867 is 3 .
LCM of 761,5905 is 4493705.
The greatest common factor of 3921/761,9867/5905 = [GCF of 3921,9867]/[LCM of 761,5905]= 3/4493705
Therefore, the GCF of 3921/761,9867/5905 is 3/4493705.
To find the highest common factor of 3921,9867, we have to find the factors of both numbers and list the highest common factor.
The factors of 3921 are 1, 3, 1307, 3921
The factors of 9867 are 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867
The HCF of 3921,9867 is 3.
Lets's calculate GCF of 3921,9867
| 3 | 3921, 9867 |
| 1307, 3289 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3921,9867 By Matching Biggest Common Factor Method
Now, list down the factors of 3921
:1,3,1307,3921
Now, list down the factors of 9867
:1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867
Greatest Common Factor
We found the factors 3921,9867 . The biggest common factor number is the GCF number.
So the greatest common factor 3921,9867 is 3.
Lets's calculate LCM of 761,5905
Given numbers has no common factors except 1. So, there LCM is their product i.e 4493705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4493705
Therefore, the GCF of Fractions 3921/761,9867/5905 is 3/4493705
Least Common Multiple of 761,5905 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 761,5905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,5905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,5905) x common factors =1 x 1 = 1
LCM(761,5905) = ( 761 × 5905 ) / 1
LCM(761,5905) = 4493705 / 1
LCM(761,5905) = 4493705
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3921/761, 9867/5905
1. What is the HCF of 3921,9867?
The HCF of 3921,9867 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 3921/761, 9867/5905?
Answer: GCF of Numerators as per given numbers 3921/761, 9867/5905 is
GCF of Numerators i.e. for 3921,9867 is 3
LCM of denominators i.e. for 761,5905 is 4493705.
Thus, GCF of Fractions is 3/4493705.Finally, GCF of Fractions for 3921/761, 9867/5905 is 3/4493705.