GCF of 4663/302, 4992/7792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4663/302, 4992/7792 i.e 1/1176592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4663/302, 4992/7792.
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 4663/302,4992/7792?
Given fractions are 4663/302,4992/7792
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 4663/302,4992/7792, numerators are 4663,4992
Denominators are 302,7792
The GCF of 4663,4992 is 1 .
LCM of 302,7792 is 1176592.
The greatest common factor of 4663/302,4992/7792 = [GCF of 4663,4992]/[LCM of 302,7792]= 1/1176592
Therefore, the GCF of 4663/302,4992/7792 is 1/1176592.
To find the highest common factor of 4663,4992, we have to find the factors of both numbers and list the highest common factor.
The factors of 4663 are 1, 4663
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 4663,4992 is 1.
Lets's calculate GCF of 4663,4992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4663,4992 By Matching Biggest Common Factor Method
Now, list down the factors of 4663
:1,4663
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 4663,4992 . The biggest common factor number is the GCF number.
So the greatest common factor 4663,4992 is 1.
Lets's calculate LCM of 302,7792
| 2 | 302, 7792 |
| 151, 3896 |
∴ So the LCM of the given numbers is 2 x 151 x 3896 = 1176592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1176592
Therefore, the GCF of Fractions 4663/302,4992/7792 is 1/1176592
Least Common Multiple of 302,7792 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 302,7792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,7792) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,7792) x common factors =2 x 1 = 2
LCM(302,7792) = ( 302 × 7792 ) / 2
LCM(302,7792) = 2353184 / 2
LCM(302,7792) = 1176592
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FAQs on GCF of Fractions of 4663/302, 4992/7792
1. What is the HCF of 4663,4992?
The HCF of 4663,4992 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 4663/302, 4992/7792?
Answer: GCF of Numerators as per given numbers 4663/302, 4992/7792 is
GCF of Numerators i.e. for 4663,4992 is 1
LCM of denominators i.e. for 302,7792 is 1176592.
Thus, GCF of Fractions is 1/1176592.Finally, GCF of Fractions for 4663/302, 4992/7792 is 1/1176592.