GCF of 6410/614, 5365/556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6410/614, 5365/556 i.e 5/170692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6410/614, 5365/556.
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 6410/614,5365/556?
Given fractions are 6410/614,5365/556
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 6410/614,5365/556, numerators are 6410,5365
Denominators are 614,556
The GCF of 6410,5365 is 5 .
LCM of 614,556 is 170692.
The greatest common factor of 6410/614,5365/556 = [GCF of 6410,5365]/[LCM of 614,556]= 5/170692
Therefore, the GCF of 6410/614,5365/556 is 5/170692.
To find the highest common factor of 6410,5365, we have to find the factors of both numbers and list the highest common factor.
The factors of 6410 are 1, 2, 5, 10, 641, 1282, 3205, 6410
The factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365
The HCF of 6410,5365 is 5.
Lets's calculate GCF of 6410,5365
| 5 | 6410, 5365 |
| 1282, 1073 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6410,5365 By Matching Biggest Common Factor Method
Now, list down the factors of 6410
:1,2,5,10,641,1282,3205,6410
Now, list down the factors of 5365
:1,5,29,37,145,185,1073,5365
Greatest Common Factor
We found the factors 6410,5365 . The biggest common factor number is the GCF number.
So the greatest common factor 6410,5365 is 5.
Lets's calculate LCM of 614,556
| 2 | 614, 556 |
| 307, 278 |
∴ So the LCM of the given numbers is 2 x 307 x 278 = 170692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/170692
Therefore, the GCF of Fractions 6410/614,5365/556 is 5/170692
Least Common Multiple of 614,556 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 614,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,556) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,556) x common factors =2 x 1 = 2
LCM(614,556) = ( 614 × 556 ) / 2
LCM(614,556) = 341384 / 2
LCM(614,556) = 170692
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FAQs on GCF of Fractions of 6410/614, 5365/556
1. What is the HCF of 6410,5365?
The HCF of 6410,5365 is 5
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 6410/614, 5365/556?
Answer: GCF of Numerators as per given numbers 6410/614, 5365/556 is
GCF of Numerators i.e. for 6410,5365 is 5
LCM of denominators i.e. for 614,556 is 170692.
Thus, GCF of Fractions is 5/170692.Finally, GCF of Fractions for 6410/614, 5365/556 is 5/170692.