GCF of 7309/214, 6052/3036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7309/214, 6052/3036 i.e 1/324852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7309/214, 6052/3036.
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 7309/214,6052/3036?
Given fractions are 7309/214,6052/3036
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 7309/214,6052/3036, numerators are 7309,6052
Denominators are 214,3036
The GCF of 7309,6052 is 1 .
LCM of 214,3036 is 324852.
The greatest common factor of 7309/214,6052/3036 = [GCF of 7309,6052]/[LCM of 214,3036]= 1/324852
Therefore, the GCF of 7309/214,6052/3036 is 1/324852.
To find the highest common factor of 7309,6052, we have to find the factors of both numbers and list the highest common factor.
The factors of 7309 are 1, 7309
The factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052
The HCF of 7309,6052 is 1.
Lets's calculate GCF of 7309,6052
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7309,6052 By Matching Biggest Common Factor Method
Now, list down the factors of 7309
:1,7309
Now, list down the factors of 6052
:1,2,4,17,34,68,89,178,356,1513,3026,6052
Greatest Common Factor
We found the factors 7309,6052 . The biggest common factor number is the GCF number.
So the greatest common factor 7309,6052 is 1.
Lets's calculate LCM of 214,3036
| 2 | 214, 3036 |
| 107, 1518 |
∴ So the LCM of the given numbers is 2 x 107 x 1518 = 324852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324852
Therefore, the GCF of Fractions 7309/214,6052/3036 is 1/324852
Least Common Multiple of 214,3036 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 214,3036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,3036) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,3036) x common factors =2 x 1 = 2
LCM(214,3036) = ( 214 × 3036 ) / 2
LCM(214,3036) = 649704 / 2
LCM(214,3036) = 324852
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FAQs on GCF of Fractions of 7309/214, 6052/3036
1. What is the HCF of 7309,6052?
The HCF of 7309,6052 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 7309/214, 6052/3036?
Answer: GCF of Numerators as per given numbers 7309/214, 6052/3036 is
GCF of Numerators i.e. for 7309,6052 is 1
LCM of denominators i.e. for 214,3036 is 324852.
Thus, GCF of Fractions is 1/324852.Finally, GCF of Fractions for 7309/214, 6052/3036 is 1/324852.