GCF of 7308/597, 3218/716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7308/597, 3218/716 i.e 2/427452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7308/597, 3218/716.
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 7308/597,3218/716?
Given fractions are 7308/597,3218/716
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 7308/597,3218/716, numerators are 7308,3218
Denominators are 597,716
The GCF of 7308,3218 is 2 .
LCM of 597,716 is 427452.
The greatest common factor of 7308/597,3218/716 = [GCF of 7308,3218]/[LCM of 597,716]= 2/427452
Therefore, the GCF of 7308/597,3218/716 is 2/427452.
To find the highest common factor of 7308,3218, we have to find the factors of both numbers and list the highest common factor.
The factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308
The factors of 3218 are 1, 2, 1609, 3218
The HCF of 7308,3218 is 2.
Lets's calculate GCF of 7308,3218
| 2 | 7308, 3218 |
| 3654, 1609 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7308,3218 By Matching Biggest Common Factor Method
Now, list down the factors of 7308
:1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308
Now, list down the factors of 3218
:1,2,1609,3218
Greatest Common Factor
We found the factors 7308,3218 . The biggest common factor number is the GCF number.
So the greatest common factor 7308,3218 is 2.
Lets's calculate LCM of 597,716
Given numbers has no common factors except 1. So, there LCM is their product i.e 427452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/427452
Therefore, the GCF of Fractions 7308/597,3218/716 is 2/427452
Least Common Multiple of 597,716 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 597,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,716) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,716) x common factors =1 x 1 = 1
LCM(597,716) = ( 597 × 716 ) / 1
LCM(597,716) = 427452 / 1
LCM(597,716) = 427452
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FAQs on GCF of Fractions of 7308/597, 3218/716
1. What is the HCF of 7308,3218?
The HCF of 7308,3218 is 2
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 7308/597, 3218/716?
Answer: GCF of Numerators as per given numbers 7308/597, 3218/716 is
GCF of Numerators i.e. for 7308,3218 is 2
LCM of denominators i.e. for 597,716 is 427452.
Thus, GCF of Fractions is 2/427452.Finally, GCF of Fractions for 7308/597, 3218/716 is 2/427452.