GCF of 3434/586, 2255/3458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3434/586, 2255/3458 i.e 1/1013194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3434/586, 2255/3458.
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 3434/586,2255/3458?
Given fractions are 3434/586,2255/3458
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 3434/586,2255/3458, numerators are 3434,2255
Denominators are 586,3458
The GCF of 3434,2255 is 1 .
LCM of 586,3458 is 1013194.
The greatest common factor of 3434/586,2255/3458 = [GCF of 3434,2255]/[LCM of 586,3458]= 1/1013194
Therefore, the GCF of 3434/586,2255/3458 is 1/1013194.
To find the highest common factor of 3434,2255, we have to find the factors of both numbers and list the highest common factor.
The factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434
The factors of 2255 are 1, 5, 11, 41, 55, 205, 451, 2255
The HCF of 3434,2255 is 1.
Lets's calculate GCF of 3434,2255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3434,2255 By Matching Biggest Common Factor Method
Now, list down the factors of 3434
:1,2,17,34,101,202,1717,3434
Now, list down the factors of 2255
:1,5,11,41,55,205,451,2255
Greatest Common Factor
We found the factors 3434,2255 . The biggest common factor number is the GCF number.
So the greatest common factor 3434,2255 is 1.
Lets's calculate LCM of 586,3458
| 2 | 586, 3458 |
| 293, 1729 |
∴ So the LCM of the given numbers is 2 x 293 x 1729 = 1013194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1013194
Therefore, the GCF of Fractions 3434/586,2255/3458 is 1/1013194
Least Common Multiple of 586,3458 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 586,3458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,3458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,3458) x common factors =2 x 1 = 2
LCM(586,3458) = ( 586 × 3458 ) / 2
LCM(586,3458) = 2026388 / 2
LCM(586,3458) = 1013194
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FAQs on GCF of Fractions of 3434/586, 2255/3458
1. What is the HCF of 3434,2255?
The HCF of 3434,2255 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 3434/586, 2255/3458?
Answer: GCF of Numerators as per given numbers 3434/586, 2255/3458 is
GCF of Numerators i.e. for 3434,2255 is 1
LCM of denominators i.e. for 586,3458 is 1013194.
Thus, GCF of Fractions is 1/1013194.Finally, GCF of Fractions for 3434/586, 2255/3458 is 1/1013194.