GCF of 24/488, 86/708, 578/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 24/488, 86/708, 578/998 i.e 2/43101624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/488, 86/708, 578/998.
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 24/488,86/708,578/998?
Given fractions are 24/488,86/708,578/998
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 24/488,86/708,578/998, numerators are 24,86,578
Denominators are 488,708,998
The GCF of 24,86,578 is 2 .
LCM of 488,708,998 is 43101624.
The greatest common factor of 24/488,86/708,578/998 = [GCF of 24,86,578]/[LCM of 488,708,998]= 2/43101624
Therefore, the GCF of 24/488,86/708,578/998 is 2/43101624.
To find the highest common factor of 24,86,578, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 86 are 1, 2, 43, 86
The factors of 578 are 1, 2, 17, 34, 289, 578
The HCF of 24,86,578 is 2.
Lets's calculate GCF of 24,86,578
| 2 | 24, 86, 578 |
| 12, 43, 289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 24,86,578 By Matching Biggest Common Factor Method
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 578
:1,2,17,34,289,578
Greatest Common Factor
We found the factors 24,86,578 . The biggest common factor number is the GCF number.
So the greatest common factor 24,86,578 is 2.
Lets's calculate LCM of 488,708,998
| 2 | 488, 708, 998 |
| 2 | 244, 354, 499 |
| 122, 177, 499 |
∴ So the LCM of the given numbers is 2 x 2 x 122 x 177 x 499 = 43101624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43101624
Therefore, the GCF of Fractions 24/488,86/708,578/998 is 2/43101624
Least Common Multiple of 488,708,998 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 488,708,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,708,998) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(488,708,998) x common factors =2 x 4 = 8
LCM(488,708,998) = ( 488 × 708 × 998 ) / 8
LCM(488,708,998) = 344812992 / 8
LCM(488,708,998) = 43101624
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FAQs on GCF of Fractions of 24/488, 86/708, 578/998
1. What is the HCF of 24,86,578?
The HCF of 24,86,578 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 24/488, 86/708, 578/998?
Answer: GCF of Numerators as per given numbers 24/488, 86/708, 578/998 is
GCF of Numerators i.e. for 24,86,578 is 2
LCM of denominators i.e. for 488,708,998 is 43101624.
Thus, GCF of Fractions is 2/43101624.Finally, GCF of Fractions for 24/488, 86/708, 578/998 is 2/43101624.