GCF of 3884/400, 9752/6049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3884/400, 9752/6049 i.e 4/2419600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3884/400, 9752/6049.
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 3884/400,9752/6049?
Given fractions are 3884/400,9752/6049
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 3884/400,9752/6049, numerators are 3884,9752
Denominators are 400,6049
The GCF of 3884,9752 is 4 .
LCM of 400,6049 is 2419600.
The greatest common factor of 3884/400,9752/6049 = [GCF of 3884,9752]/[LCM of 400,6049]= 4/2419600
Therefore, the GCF of 3884/400,9752/6049 is 4/2419600.
To find the highest common factor of 3884,9752, we have to find the factors of both numbers and list the highest common factor.
The factors of 3884 are 1, 2, 4, 971, 1942, 3884
The factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752
The HCF of 3884,9752 is 4.
Lets's calculate GCF of 3884,9752
| 2 | 3884, 9752 |
| 2 | 1942, 4876 |
| 971, 2438 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3884,9752 By Matching Biggest Common Factor Method
Now, list down the factors of 3884
:1,2,4,971,1942,3884
Now, list down the factors of 9752
:1,2,4,8,23,46,53,92,106,184,212,424,1219,2438,4876,9752
Greatest Common Factor
We found the factors 3884,9752 . The biggest common factor number is the GCF number.
So the greatest common factor 3884,9752 is 4.
Lets's calculate LCM of 400,6049
Given numbers has no common factors except 1. So, there LCM is their product i.e 2419600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2419600
Therefore, the GCF of Fractions 3884/400,9752/6049 is 4/2419600
Least Common Multiple of 400,6049 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 400,6049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,6049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(400,6049) x common factors =1 x 1 = 1
LCM(400,6049) = ( 400 × 6049 ) / 1
LCM(400,6049) = 2419600 / 1
LCM(400,6049) = 2419600
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FAQs on GCF of Fractions of 3884/400, 9752/6049
1. What is the HCF of 3884,9752?
The HCF of 3884,9752 is 4
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 3884/400, 9752/6049?
Answer: GCF of Numerators as per given numbers 3884/400, 9752/6049 is
GCF of Numerators i.e. for 3884,9752 is 4
LCM of denominators i.e. for 400,6049 is 2419600.
Thus, GCF of Fractions is 4/2419600.Finally, GCF of Fractions for 3884/400, 9752/6049 is 4/2419600.