GCF of 1984/228, 5246/3732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1984/228, 5246/3732 i.e 2/70908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1984/228, 5246/3732.
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 1984/228,5246/3732?
Given fractions are 1984/228,5246/3732
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 1984/228,5246/3732, numerators are 1984,5246
Denominators are 228,3732
The GCF of 1984,5246 is 2 .
LCM of 228,3732 is 70908.
The greatest common factor of 1984/228,5246/3732 = [GCF of 1984,5246]/[LCM of 228,3732]= 2/70908
Therefore, the GCF of 1984/228,5246/3732 is 2/70908.
To find the highest common factor of 1984,5246, we have to find the factors of both numbers and list the highest common factor.
The factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984
The factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246
The HCF of 1984,5246 is 2.
Lets's calculate GCF of 1984,5246
| 2 | 1984, 5246 |
| 992, 2623 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1984,5246 By Matching Biggest Common Factor Method
Now, list down the factors of 1984
:1,2,4,8,16,31,32,62,64,124,248,496,992,1984
Now, list down the factors of 5246
:1,2,43,61,86,122,2623,5246
Greatest Common Factor
We found the factors 1984,5246 . The biggest common factor number is the GCF number.
So the greatest common factor 1984,5246 is 2.
Lets's calculate LCM of 228,3732
| 2 | 228, 3732 |
| 2 | 114, 1866 |
| 3 | 57, 933 |
| 19, 311 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 311 = 70908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70908
Therefore, the GCF of Fractions 1984/228,5246/3732 is 2/70908
Least Common Multiple of 228,3732 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 228,3732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,3732) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(228,3732) x common factors =12 x 1 = 12
LCM(228,3732) = ( 228 × 3732 ) / 12
LCM(228,3732) = 850896 / 12
LCM(228,3732) = 70908
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1984/228, 5246/3732
1. What is the HCF of 1984,5246?
The HCF of 1984,5246 is 2
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 1984/228, 5246/3732?
Answer: GCF of Numerators as per given numbers 1984/228, 5246/3732 is
GCF of Numerators i.e. for 1984,5246 is 2
LCM of denominators i.e. for 228,3732 is 70908.
Thus, GCF of Fractions is 2/70908.Finally, GCF of Fractions for 1984/228, 5246/3732 is 2/70908.