GCF of 3732/572, 5128/4986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3732/572, 5128/4986 i.e 4/1425996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3732/572, 5128/4986.
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 3732/572,5128/4986?
Given fractions are 3732/572,5128/4986
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 3732/572,5128/4986, numerators are 3732,5128
Denominators are 572,4986
The GCF of 3732,5128 is 4 .
LCM of 572,4986 is 1425996.
The greatest common factor of 3732/572,5128/4986 = [GCF of 3732,5128]/[LCM of 572,4986]= 4/1425996
Therefore, the GCF of 3732/572,5128/4986 is 4/1425996.
To find the highest common factor of 3732,5128, we have to find the factors of both numbers and list the highest common factor.
The factors of 3732 are 1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732
The factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128
The HCF of 3732,5128 is 4.
Lets's calculate GCF of 3732,5128
| 2 | 3732, 5128 |
| 2 | 1866, 2564 |
| 933, 1282 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3732,5128 By Matching Biggest Common Factor Method
Now, list down the factors of 3732
:1,2,3,4,6,12,311,622,933,1244,1866,3732
Now, list down the factors of 5128
:1,2,4,8,641,1282,2564,5128
Greatest Common Factor
We found the factors 3732,5128 . The biggest common factor number is the GCF number.
So the greatest common factor 3732,5128 is 4.
Lets's calculate LCM of 572,4986
| 2 | 572, 4986 |
| 286, 2493 |
∴ So the LCM of the given numbers is 2 x 286 x 2493 = 1425996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1425996
Therefore, the GCF of Fractions 3732/572,5128/4986 is 4/1425996
Least Common Multiple of 572,4986 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 572,4986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,4986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,4986) x common factors =2 x 1 = 2
LCM(572,4986) = ( 572 × 4986 ) / 2
LCM(572,4986) = 2851992 / 2
LCM(572,4986) = 1425996
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FAQs on GCF of Fractions of 3732/572, 5128/4986
1. What is the HCF of 3732,5128?
The HCF of 3732,5128 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 3732/572, 5128/4986?
Answer: GCF of Numerators as per given numbers 3732/572, 5128/4986 is
GCF of Numerators i.e. for 3732,5128 is 4
LCM of denominators i.e. for 572,4986 is 1425996.
Thus, GCF of Fractions is 4/1425996.Finally, GCF of Fractions for 3732/572, 5128/4986 is 4/1425996.