GCF of 2024/832, 4237/3876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2024/832, 4237/3876 i.e 1/806208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2024/832, 4237/3876.
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 2024/832,4237/3876?
Given fractions are 2024/832,4237/3876
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 2024/832,4237/3876, numerators are 2024,4237
Denominators are 832,3876
The GCF of 2024,4237 is 1 .
LCM of 832,3876 is 806208.
The greatest common factor of 2024/832,4237/3876 = [GCF of 2024,4237]/[LCM of 832,3876]= 1/806208
Therefore, the GCF of 2024/832,4237/3876 is 1/806208.
To find the highest common factor of 2024,4237, we have to find the factors of both numbers and list the highest common factor.
The factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
The factors of 4237 are 1, 19, 223, 4237
The HCF of 2024,4237 is 1.
Lets's calculate GCF of 2024,4237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2024,4237 By Matching Biggest Common Factor Method
Now, list down the factors of 2024
:1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024
Now, list down the factors of 4237
:1,19,223,4237
Greatest Common Factor
We found the factors 2024,4237 . The biggest common factor number is the GCF number.
So the greatest common factor 2024,4237 is 1.
Lets's calculate LCM of 832,3876
| 2 | 832, 3876 |
| 2 | 416, 1938 |
| 208, 969 |
∴ So the LCM of the given numbers is 2 x 2 x 208 x 969 = 806208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/806208
Therefore, the GCF of Fractions 2024/832,4237/3876 is 1/806208
Least Common Multiple of 832,3876 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 832,3876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,3876) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(832,3876) x common factors =4 x 1 = 4
LCM(832,3876) = ( 832 × 3876 ) / 4
LCM(832,3876) = 3224832 / 4
LCM(832,3876) = 806208
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FAQs on GCF of Fractions of 2024/832, 4237/3876
1. What is the HCF of 2024,4237?
The HCF of 2024,4237 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 2024/832, 4237/3876?
Answer: GCF of Numerators as per given numbers 2024/832, 4237/3876 is
GCF of Numerators i.e. for 2024,4237 is 1
LCM of denominators i.e. for 832,3876 is 806208.
Thus, GCF of Fractions is 1/806208.Finally, GCF of Fractions for 2024/832, 4237/3876 is 1/806208.