GCF of 3409/568, 6746/8070
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3409/568, 6746/8070 i.e 1/2291880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3409/568, 6746/8070.
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 3409/568,6746/8070?
Given fractions are 3409/568,6746/8070
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 3409/568,6746/8070, numerators are 3409,6746
Denominators are 568,8070
The GCF of 3409,6746 is 1 .
LCM of 568,8070 is 2291880.
The greatest common factor of 3409/568,6746/8070 = [GCF of 3409,6746]/[LCM of 568,8070]= 1/2291880
Therefore, the GCF of 3409/568,6746/8070 is 1/2291880.
To find the highest common factor of 3409,6746, we have to find the factors of both numbers and list the highest common factor.
The factors of 3409 are 1, 7, 487, 3409
The factors of 6746 are 1, 2, 3373, 6746
The HCF of 3409,6746 is 1.
Lets's calculate GCF of 3409,6746
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3409,6746 By Matching Biggest Common Factor Method
Now, list down the factors of 3409
:1,7,487,3409
Now, list down the factors of 6746
:1,2,3373,6746
Greatest Common Factor
We found the factors 3409,6746 . The biggest common factor number is the GCF number.
So the greatest common factor 3409,6746 is 1.
Lets's calculate LCM of 568,8070
| 2 | 568, 8070 |
| 284, 4035 |
∴ So the LCM of the given numbers is 2 x 284 x 4035 = 2291880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2291880
Therefore, the GCF of Fractions 3409/568,6746/8070 is 1/2291880
Least Common Multiple of 568,8070 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 568,8070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,8070) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(568,8070) x common factors =2 x 1 = 2
LCM(568,8070) = ( 568 × 8070 ) / 2
LCM(568,8070) = 4583760 / 2
LCM(568,8070) = 2291880
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FAQs on GCF of Fractions of 3409/568, 6746/8070
1. What is the HCF of 3409,6746?
The HCF of 3409,6746 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 3409/568, 6746/8070?
Answer: GCF of Numerators as per given numbers 3409/568, 6746/8070 is
GCF of Numerators i.e. for 3409,6746 is 1
LCM of denominators i.e. for 568,8070 is 2291880.
Thus, GCF of Fractions is 1/2291880.Finally, GCF of Fractions for 3409/568, 6746/8070 is 1/2291880.