GCF of 3207/406, 3867/730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3207/406, 3867/730 i.e 3/148190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3207/406, 3867/730.
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 3207/406,3867/730?
Given fractions are 3207/406,3867/730
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 3207/406,3867/730, numerators are 3207,3867
Denominators are 406,730
The GCF of 3207,3867 is 3 .
LCM of 406,730 is 148190.
The greatest common factor of 3207/406,3867/730 = [GCF of 3207,3867]/[LCM of 406,730]= 3/148190
Therefore, the GCF of 3207/406,3867/730 is 3/148190.
To find the highest common factor of 3207,3867, we have to find the factors of both numbers and list the highest common factor.
The factors of 3207 are 1, 3, 1069, 3207
The factors of 3867 are 1, 3, 1289, 3867
The HCF of 3207,3867 is 3.
Lets's calculate GCF of 3207,3867
| 3 | 3207, 3867 |
| 1069, 1289 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3207,3867 By Matching Biggest Common Factor Method
Now, list down the factors of 3207
:1,3,1069,3207
Now, list down the factors of 3867
:1,3,1289,3867
Greatest Common Factor
We found the factors 3207,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 3207,3867 is 3.
Lets's calculate LCM of 406,730
| 2 | 406, 730 |
| 203, 365 |
∴ So the LCM of the given numbers is 2 x 203 x 365 = 148190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/148190
Therefore, the GCF of Fractions 3207/406,3867/730 is 3/148190
Least Common Multiple of 406,730 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 406,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,730) x common factors =2 x 1 = 2
LCM(406,730) = ( 406 × 730 ) / 2
LCM(406,730) = 296380 / 2
LCM(406,730) = 148190
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FAQs on GCF of Fractions of 3207/406, 3867/730
1. What is the HCF of 3207,3867?
The HCF of 3207,3867 is 3
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 3207/406, 3867/730?
Answer: GCF of Numerators as per given numbers 3207/406, 3867/730 is
GCF of Numerators i.e. for 3207,3867 is 3
LCM of denominators i.e. for 406,730 is 148190.
Thus, GCF of Fractions is 3/148190.Finally, GCF of Fractions for 3207/406, 3867/730 is 3/148190.