GCF of 487/24, 684/5948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 487/24, 684/5948 i.e 1/35688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/24, 684/5948.
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 487/24,684/5948?
Given fractions are 487/24,684/5948
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 487/24,684/5948, numerators are 487,684
Denominators are 24,5948
The GCF of 487,684 is 1 .
LCM of 24,5948 is 35688.
The greatest common factor of 487/24,684/5948 = [GCF of 487,684]/[LCM of 24,5948]= 1/35688
Therefore, the GCF of 487/24,684/5948 is 1/35688.
To find the highest common factor of 487,684, we have to find the factors of both numbers and list the highest common factor.
The factors of 487 are 1, 487
The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
The HCF of 487,684 is 1.
Lets's calculate GCF of 487,684
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 487,684 By Matching Biggest Common Factor Method
Now, list down the factors of 487
:1,487
Now, list down the factors of 684
:1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 487,684 . The biggest common factor number is the GCF number.
So the greatest common factor 487,684 is 1.
Lets's calculate LCM of 24,5948
| 2 | 24, 5948 |
| 2 | 12, 2974 |
| 6, 1487 |
∴ So the LCM of the given numbers is 2 x 2 x 6 x 1487 = 35688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35688
Therefore, the GCF of Fractions 487/24,684/5948 is 1/35688
Least Common Multiple of 24,5948 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 24,5948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,5948) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(24,5948) x common factors =4 x 1 = 4
LCM(24,5948) = ( 24 × 5948 ) / 4
LCM(24,5948) = 142752 / 4
LCM(24,5948) = 35688
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FAQs on GCF of Fractions of 487/24, 684/5948
1. What is the HCF of 487,684?
The HCF of 487,684 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 487/24, 684/5948?
Answer: GCF of Numerators as per given numbers 487/24, 684/5948 is
GCF of Numerators i.e. for 487,684 is 1
LCM of denominators i.e. for 24,5948 is 35688.
Thus, GCF of Fractions is 1/35688.Finally, GCF of Fractions for 487/24, 684/5948 is 1/35688.