GCF of 9518/754, 9876/3929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9518/754, 9876/3929 i.e 2/2962466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9518/754, 9876/3929.
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 9518/754,9876/3929?
Given fractions are 9518/754,9876/3929
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 9518/754,9876/3929, numerators are 9518,9876
Denominators are 754,3929
The GCF of 9518,9876 is 2 .
LCM of 754,3929 is 2962466.
The greatest common factor of 9518/754,9876/3929 = [GCF of 9518,9876]/[LCM of 754,3929]= 2/2962466
Therefore, the GCF of 9518/754,9876/3929 is 2/2962466.
To find the highest common factor of 9518,9876, we have to find the factors of both numbers and list the highest common factor.
The factors of 9518 are 1, 2, 4759, 9518
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876
The HCF of 9518,9876 is 2.
Lets's calculate GCF of 9518,9876
| 2 | 9518, 9876 |
| 4759, 4938 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9518,9876 By Matching Biggest Common Factor Method
Now, list down the factors of 9518
:1,2,4759,9518
Now, list down the factors of 9876
:1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Greatest Common Factor
We found the factors 9518,9876 . The biggest common factor number is the GCF number.
So the greatest common factor 9518,9876 is 2.
Lets's calculate LCM of 754,3929
Given numbers has no common factors except 1. So, there LCM is their product i.e 2962466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2962466
Therefore, the GCF of Fractions 9518/754,9876/3929 is 2/2962466
Least Common Multiple of 754,3929 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 754,3929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,3929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(754,3929) x common factors =1 x 1 = 1
LCM(754,3929) = ( 754 × 3929 ) / 1
LCM(754,3929) = 2962466 / 1
LCM(754,3929) = 2962466
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9518/754, 9876/3929
1. What is the HCF of 9518,9876?
The HCF of 9518,9876 is 2
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 9518/754, 9876/3929?
Answer: GCF of Numerators as per given numbers 9518/754, 9876/3929 is
GCF of Numerators i.e. for 9518,9876 is 2
LCM of denominators i.e. for 754,3929 is 2962466.
Thus, GCF of Fractions is 2/2962466.Finally, GCF of Fractions for 9518/754, 9876/3929 is 2/2962466.