GCF of 2406/347, 1509/214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2406/347, 1509/214 i.e 3/74258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2406/347, 1509/214.
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 2406/347,1509/214?
Given fractions are 2406/347,1509/214
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 2406/347,1509/214, numerators are 2406,1509
Denominators are 347,214
The GCF of 2406,1509 is 3 .
LCM of 347,214 is 74258.
The greatest common factor of 2406/347,1509/214 = [GCF of 2406,1509]/[LCM of 347,214]= 3/74258
Therefore, the GCF of 2406/347,1509/214 is 3/74258.
To find the highest common factor of 2406,1509, we have to find the factors of both numbers and list the highest common factor.
The factors of 2406 are 1, 2, 3, 6, 401, 802, 1203, 2406
The factors of 1509 are 1, 3, 503, 1509
The HCF of 2406,1509 is 3.
Lets's calculate GCF of 2406,1509
| 3 | 2406, 1509 |
| 802, 503 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2406,1509 By Matching Biggest Common Factor Method
Now, list down the factors of 2406
:1,2,3,6,401,802,1203,2406
Now, list down the factors of 1509
:1,3,503,1509
Greatest Common Factor
We found the factors 2406,1509 . The biggest common factor number is the GCF number.
So the greatest common factor 2406,1509 is 3.
Lets's calculate LCM of 347,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 74258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74258
Therefore, the GCF of Fractions 2406/347,1509/214 is 3/74258
Least Common Multiple of 347,214 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 347,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,214) x common factors =1 x 1 = 1
LCM(347,214) = ( 347 × 214 ) / 1
LCM(347,214) = 74258 / 1
LCM(347,214) = 74258
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FAQs on GCF of Fractions of 2406/347, 1509/214
1. What is the HCF of 2406,1509?
The HCF of 2406,1509 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 2406/347, 1509/214?
Answer: GCF of Numerators as per given numbers 2406/347, 1509/214 is
GCF of Numerators i.e. for 2406,1509 is 3
LCM of denominators i.e. for 347,214 is 74258.
Thus, GCF of Fractions is 3/74258.Finally, GCF of Fractions for 2406/347, 1509/214 is 3/74258.