GCF of 4868/513, 1304/8946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4868/513, 1304/8946 i.e 4/509922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4868/513, 1304/8946.
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 4868/513,1304/8946?
Given fractions are 4868/513,1304/8946
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 4868/513,1304/8946, numerators are 4868,1304
Denominators are 513,8946
The GCF of 4868,1304 is 4 .
LCM of 513,8946 is 509922.
The greatest common factor of 4868/513,1304/8946 = [GCF of 4868,1304]/[LCM of 513,8946]= 4/509922
Therefore, the GCF of 4868/513,1304/8946 is 4/509922.
To find the highest common factor of 4868,1304, we have to find the factors of both numbers and list the highest common factor.
The factors of 4868 are 1, 2, 4, 1217, 2434, 4868
The factors of 1304 are 1, 2, 4, 8, 163, 326, 652, 1304
The HCF of 4868,1304 is 4.
Lets's calculate GCF of 4868,1304
| 2 | 4868, 1304 |
| 2 | 2434, 652 |
| 1217, 326 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4868,1304 By Matching Biggest Common Factor Method
Now, list down the factors of 4868
:1,2,4,1217,2434,4868
Now, list down the factors of 1304
:1,2,4,8,163,326,652,1304
Greatest Common Factor
We found the factors 4868,1304 . The biggest common factor number is the GCF number.
So the greatest common factor 4868,1304 is 4.
Lets's calculate LCM of 513,8946
| 3 | 513, 8946 |
| 3 | 171, 2982 |
| 57, 994 |
∴ So the LCM of the given numbers is 3 x 3 x 57 x 994 = 509922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/509922
Therefore, the GCF of Fractions 4868/513,1304/8946 is 4/509922
Least Common Multiple of 513,8946 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 513,8946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,8946) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(513,8946) x common factors =9 x 1 = 9
LCM(513,8946) = ( 513 × 8946 ) / 9
LCM(513,8946) = 4589298 / 9
LCM(513,8946) = 509922
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FAQs on GCF of Fractions of 4868/513, 1304/8946
1. What is the HCF of 4868,1304?
The HCF of 4868,1304 is 4
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 4868/513, 1304/8946?
Answer: GCF of Numerators as per given numbers 4868/513, 1304/8946 is
GCF of Numerators i.e. for 4868,1304 is 4
LCM of denominators i.e. for 513,8946 is 509922.
Thus, GCF of Fractions is 4/509922.Finally, GCF of Fractions for 4868/513, 1304/8946 is 4/509922.