GCF of 6432/747, 4926/8099
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6432/747, 4926/8099 i.e 6/6049953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6432/747, 4926/8099.
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 6432/747,4926/8099?
Given fractions are 6432/747,4926/8099
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 6432/747,4926/8099, numerators are 6432,4926
Denominators are 747,8099
The GCF of 6432,4926 is 6 .
LCM of 747,8099 is 6049953.
The greatest common factor of 6432/747,4926/8099 = [GCF of 6432,4926]/[LCM of 747,8099]= 6/6049953
Therefore, the GCF of 6432/747,4926/8099 is 6/6049953.
To find the highest common factor of 6432,4926, we have to find the factors of both numbers and list the highest common factor.
The factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432
The factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926
The HCF of 6432,4926 is 6.
Lets's calculate GCF of 6432,4926
| 2 | 6432, 4926 |
| 3 | 3216, 2463 |
| 1072, 821 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6432,4926 By Matching Biggest Common Factor Method
Now, list down the factors of 6432
:1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432
Now, list down the factors of 4926
:1,2,3,6,821,1642,2463,4926
Greatest Common Factor
We found the factors 6432,4926 . The biggest common factor number is the GCF number.
So the greatest common factor 6432,4926 is 6.
Lets's calculate LCM of 747,8099
Given numbers has no common factors except 1. So, there LCM is their product i.e 6049953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6049953
Therefore, the GCF of Fractions 6432/747,4926/8099 is 6/6049953
Least Common Multiple of 747,8099 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 747,8099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,8099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,8099) x common factors =1 x 1 = 1
LCM(747,8099) = ( 747 × 8099 ) / 1
LCM(747,8099) = 6049953 / 1
LCM(747,8099) = 6049953
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FAQs on GCF of Fractions of 6432/747, 4926/8099
1. What is the HCF of 6432,4926?
The HCF of 6432,4926 is 6
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 6432/747, 4926/8099?
Answer: GCF of Numerators as per given numbers 6432/747, 4926/8099 is
GCF of Numerators i.e. for 6432,4926 is 6
LCM of denominators i.e. for 747,8099 is 6049953.
Thus, GCF of Fractions is 6/6049953.Finally, GCF of Fractions for 6432/747, 4926/8099 is 6/6049953.