GCF of 583/306, 7516/8228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 583/306, 7516/8228 i.e 1/74052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/306, 7516/8228.
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 583/306,7516/8228?
Given fractions are 583/306,7516/8228
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 583/306,7516/8228, numerators are 583,7516
Denominators are 306,8228
The GCF of 583,7516 is 1 .
LCM of 306,8228 is 74052.
The greatest common factor of 583/306,7516/8228 = [GCF of 583,7516]/[LCM of 306,8228]= 1/74052
Therefore, the GCF of 583/306,7516/8228 is 1/74052.
To find the highest common factor of 583,7516, we have to find the factors of both numbers and list the highest common factor.
The factors of 583 are 1, 11, 53, 583
The factors of 7516 are 1, 2, 4, 1879, 3758, 7516
The HCF of 583,7516 is 1.
Lets's calculate GCF of 583,7516
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 583,7516 By Matching Biggest Common Factor Method
Now, list down the factors of 583
:1,11,53,583
Now, list down the factors of 7516
:1,2,4,1879,3758,7516
Greatest Common Factor
We found the factors 583,7516 . The biggest common factor number is the GCF number.
So the greatest common factor 583,7516 is 1.
Lets's calculate LCM of 306,8228
| 2 | 306, 8228 |
| 17 | 153, 4114 |
| 9, 242 |
∴ So the LCM of the given numbers is 2 x 17 x 9 x 242 = 74052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74052
Therefore, the GCF of Fractions 583/306,7516/8228 is 1/74052
Least Common Multiple of 306,8228 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 306,8228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,8228) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(306,8228) x common factors =34 x 1 = 34
LCM(306,8228) = ( 306 × 8228 ) / 34
LCM(306,8228) = 2517768 / 34
LCM(306,8228) = 74052
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FAQs on GCF of Fractions of 583/306, 7516/8228
1. What is the HCF of 583,7516?
The HCF of 583,7516 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 583/306, 7516/8228?
Answer: GCF of Numerators as per given numbers 583/306, 7516/8228 is
GCF of Numerators i.e. for 583,7516 is 1
LCM of denominators i.e. for 306,8228 is 74052.
Thus, GCF of Fractions is 1/74052.Finally, GCF of Fractions for 583/306, 7516/8228 is 1/74052.