GCF of 2519/468, 6401/9684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2519/468, 6401/9684 i.e 1/125892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2519/468, 6401/9684.
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 2519/468,6401/9684?
Given fractions are 2519/468,6401/9684
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 2519/468,6401/9684, numerators are 2519,6401
Denominators are 468,9684
The GCF of 2519,6401 is 1 .
LCM of 468,9684 is 125892.
The greatest common factor of 2519/468,6401/9684 = [GCF of 2519,6401]/[LCM of 468,9684]= 1/125892
Therefore, the GCF of 2519/468,6401/9684 is 1/125892.
To find the highest common factor of 2519,6401, we have to find the factors of both numbers and list the highest common factor.
The factors of 2519 are 1, 11, 229, 2519
The factors of 6401 are 1, 37, 173, 6401
The HCF of 2519,6401 is 1.
Lets's calculate GCF of 2519,6401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2519,6401 By Matching Biggest Common Factor Method
Now, list down the factors of 2519
:1,11,229,2519
Now, list down the factors of 6401
:1,37,173,6401
Greatest Common Factor
We found the factors 2519,6401 . The biggest common factor number is the GCF number.
So the greatest common factor 2519,6401 is 1.
Lets's calculate LCM of 468,9684
| 2 | 468, 9684 |
| 2 | 234, 4842 |
| 3 | 117, 2421 |
| 3 | 39, 807 |
| 13, 269 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 269 = 125892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125892
Therefore, the GCF of Fractions 2519/468,6401/9684 is 1/125892
Least Common Multiple of 468,9684 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 468,9684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,9684) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(468,9684) x common factors =36 x 1 = 36
LCM(468,9684) = ( 468 × 9684 ) / 36
LCM(468,9684) = 4532112 / 36
LCM(468,9684) = 125892
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FAQs on GCF of Fractions of 2519/468, 6401/9684
1. What is the HCF of 2519,6401?
The HCF of 2519,6401 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 2519/468, 6401/9684?
Answer: GCF of Numerators as per given numbers 2519/468, 6401/9684 is
GCF of Numerators i.e. for 2519,6401 is 1
LCM of denominators i.e. for 468,9684 is 125892.
Thus, GCF of Fractions is 1/125892.Finally, GCF of Fractions for 2519/468, 6401/9684 is 1/125892.