GCF of 3418/435, 4071/6745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3418/435, 4071/6745 i.e 1/586815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3418/435, 4071/6745.
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 3418/435,4071/6745?
Given fractions are 3418/435,4071/6745
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 3418/435,4071/6745, numerators are 3418,4071
Denominators are 435,6745
The GCF of 3418,4071 is 1 .
LCM of 435,6745 is 586815.
The greatest common factor of 3418/435,4071/6745 = [GCF of 3418,4071]/[LCM of 435,6745]= 1/586815
Therefore, the GCF of 3418/435,4071/6745 is 1/586815.
To find the highest common factor of 3418,4071, we have to find the factors of both numbers and list the highest common factor.
The factors of 3418 are 1, 2, 1709, 3418
The factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071
The HCF of 3418,4071 is 1.
Lets's calculate GCF of 3418,4071
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3418,4071 By Matching Biggest Common Factor Method
Now, list down the factors of 3418
:1,2,1709,3418
Now, list down the factors of 4071
:1,3,23,59,69,177,1357,4071
Greatest Common Factor
We found the factors 3418,4071 . The biggest common factor number is the GCF number.
So the greatest common factor 3418,4071 is 1.
Lets's calculate LCM of 435,6745
| 5 | 435, 6745 |
| 87, 1349 |
∴ So the LCM of the given numbers is 5 x 87 x 1349 = 586815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586815
Therefore, the GCF of Fractions 3418/435,4071/6745 is 1/586815
Least Common Multiple of 435,6745 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 435,6745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,6745) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(435,6745) x common factors =5 x 1 = 5
LCM(435,6745) = ( 435 × 6745 ) / 5
LCM(435,6745) = 2934075 / 5
LCM(435,6745) = 586815
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FAQs on GCF of Fractions of 3418/435, 4071/6745
1. What is the HCF of 3418,4071?
The HCF of 3418,4071 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 3418/435, 4071/6745?
Answer: GCF of Numerators as per given numbers 3418/435, 4071/6745 is
GCF of Numerators i.e. for 3418,4071 is 1
LCM of denominators i.e. for 435,6745 is 586815.
Thus, GCF of Fractions is 1/586815.Finally, GCF of Fractions for 3418/435, 4071/6745 is 1/586815.