GCF of 5260/218, 3104/6334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5260/218, 3104/6334 i.e 4/690406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5260/218, 3104/6334.
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 5260/218,3104/6334?
Given fractions are 5260/218,3104/6334
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 5260/218,3104/6334, numerators are 5260,3104
Denominators are 218,6334
The GCF of 5260,3104 is 4 .
LCM of 218,6334 is 690406.
The greatest common factor of 5260/218,3104/6334 = [GCF of 5260,3104]/[LCM of 218,6334]= 4/690406
Therefore, the GCF of 5260/218,3104/6334 is 4/690406.
To find the highest common factor of 5260,3104, we have to find the factors of both numbers and list the highest common factor.
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The factors of 3104 are 1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104
The HCF of 5260,3104 is 4.
Lets's calculate GCF of 5260,3104
| 2 | 5260, 3104 |
| 2 | 2630, 1552 |
| 1315, 776 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5260,3104 By Matching Biggest Common Factor Method
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Now, list down the factors of 3104
:1,2,4,8,16,32,97,194,388,776,1552,3104
Greatest Common Factor
We found the factors 5260,3104 . The biggest common factor number is the GCF number.
So the greatest common factor 5260,3104 is 4.
Lets's calculate LCM of 218,6334
| 2 | 218, 6334 |
| 109, 3167 |
∴ So the LCM of the given numbers is 2 x 109 x 3167 = 690406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/690406
Therefore, the GCF of Fractions 5260/218,3104/6334 is 4/690406
Least Common Multiple of 218,6334 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 218,6334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,6334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,6334) x common factors =2 x 1 = 2
LCM(218,6334) = ( 218 × 6334 ) / 2
LCM(218,6334) = 1380812 / 2
LCM(218,6334) = 690406
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FAQs on GCF of Fractions of 5260/218, 3104/6334
1. What is the HCF of 5260,3104?
The HCF of 5260,3104 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 5260/218, 3104/6334?
Answer: GCF of Numerators as per given numbers 5260/218, 3104/6334 is
GCF of Numerators i.e. for 5260,3104 is 4
LCM of denominators i.e. for 218,6334 is 690406.
Thus, GCF of Fractions is 4/690406.Finally, GCF of Fractions for 5260/218, 3104/6334 is 4/690406.