GCF of 5674/410, 6479/6965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5674/410, 6479/6965 i.e 1/571130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5674/410, 6479/6965.
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 5674/410,6479/6965?
Given fractions are 5674/410,6479/6965
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 5674/410,6479/6965, numerators are 5674,6479
Denominators are 410,6965
The GCF of 5674,6479 is 1 .
LCM of 410,6965 is 571130.
The greatest common factor of 5674/410,6479/6965 = [GCF of 5674,6479]/[LCM of 410,6965]= 1/571130
Therefore, the GCF of 5674/410,6479/6965 is 1/571130.
To find the highest common factor of 5674,6479, we have to find the factors of both numbers and list the highest common factor.
The factors of 5674 are 1, 2, 2837, 5674
The factors of 6479 are 1, 11, 19, 31, 209, 341, 589, 6479
The HCF of 5674,6479 is 1.
Lets's calculate GCF of 5674,6479
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5674,6479 By Matching Biggest Common Factor Method
Now, list down the factors of 5674
:1,2,2837,5674
Now, list down the factors of 6479
:1,11,19,31,209,341,589,6479
Greatest Common Factor
We found the factors 5674,6479 . The biggest common factor number is the GCF number.
So the greatest common factor 5674,6479 is 1.
Lets's calculate LCM of 410,6965
| 5 | 410, 6965 |
| 82, 1393 |
∴ So the LCM of the given numbers is 5 x 82 x 1393 = 571130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571130
Therefore, the GCF of Fractions 5674/410,6479/6965 is 1/571130
Least Common Multiple of 410,6965 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 410,6965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,6965) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(410,6965) x common factors =5 x 1 = 5
LCM(410,6965) = ( 410 × 6965 ) / 5
LCM(410,6965) = 2855650 / 5
LCM(410,6965) = 571130
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FAQs on GCF of Fractions of 5674/410, 6479/6965
1. What is the HCF of 5674,6479?
The HCF of 5674,6479 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 5674/410, 6479/6965?
Answer: GCF of Numerators as per given numbers 5674/410, 6479/6965 is
GCF of Numerators i.e. for 5674,6479 is 1
LCM of denominators i.e. for 410,6965 is 571130.
Thus, GCF of Fractions is 1/571130.Finally, GCF of Fractions for 5674/410, 6479/6965 is 1/571130.