GCF of 729/584, 4992/253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 729/584, 4992/253 i.e 3/147752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 729/584, 4992/253.
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 729/584,4992/253?
Given fractions are 729/584,4992/253
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 729/584,4992/253, numerators are 729,4992
Denominators are 584,253
The GCF of 729,4992 is 3 .
LCM of 584,253 is 147752.
The greatest common factor of 729/584,4992/253 = [GCF of 729,4992]/[LCM of 584,253]= 3/147752
Therefore, the GCF of 729/584,4992/253 is 3/147752.
To find the highest common factor of 729,4992, we have to find the factors of both numbers and list the highest common factor.
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992
The HCF of 729,4992 is 3.
Lets's calculate GCF of 729,4992
| 3 | 729, 4992 |
| 243, 1664 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 729,4992 By Matching Biggest Common Factor Method
Now, list down the factors of 729
:1,3,9,27,81,243,729
Now, list down the factors of 4992
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992
Greatest Common Factor
We found the factors 729,4992 . The biggest common factor number is the GCF number.
So the greatest common factor 729,4992 is 3.
Lets's calculate LCM of 584,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 147752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/147752
Therefore, the GCF of Fractions 729/584,4992/253 is 3/147752
Least Common Multiple of 584,253 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 584,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,253) x common factors =1 x 1 = 1
LCM(584,253) = ( 584 × 253 ) / 1
LCM(584,253) = 147752 / 1
LCM(584,253) = 147752
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FAQs on GCF of Fractions of 729/584, 4992/253
1. What is the HCF of 729,4992?
The HCF of 729,4992 is 3
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 729/584, 4992/253?
Answer: GCF of Numerators as per given numbers 729/584, 4992/253 is
GCF of Numerators i.e. for 729,4992 is 3
LCM of denominators i.e. for 584,253 is 147752.
Thus, GCF of Fractions is 3/147752.Finally, GCF of Fractions for 729/584, 4992/253 is 3/147752.