GCF of 8037/468, 4369/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8037/468, 4369/922 i.e 1/215748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8037/468, 4369/922.
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 8037/468,4369/922?
Given fractions are 8037/468,4369/922
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 8037/468,4369/922, numerators are 8037,4369
Denominators are 468,922
The GCF of 8037,4369 is 1 .
LCM of 468,922 is 215748.
The greatest common factor of 8037/468,4369/922 = [GCF of 8037,4369]/[LCM of 468,922]= 1/215748
Therefore, the GCF of 8037/468,4369/922 is 1/215748.
To find the highest common factor of 8037,4369, we have to find the factors of both numbers and list the highest common factor.
The factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037
The factors of 4369 are 1, 17, 257, 4369
The HCF of 8037,4369 is 1.
Lets's calculate GCF of 8037,4369
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8037,4369 By Matching Biggest Common Factor Method
Now, list down the factors of 8037
:1,3,9,19,47,57,141,171,423,893,2679,8037
Now, list down the factors of 4369
:1,17,257,4369
Greatest Common Factor
We found the factors 8037,4369 . The biggest common factor number is the GCF number.
So the greatest common factor 8037,4369 is 1.
Lets's calculate LCM of 468,922
| 2 | 468, 922 |
| 234, 461 |
∴ So the LCM of the given numbers is 2 x 234 x 461 = 215748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215748
Therefore, the GCF of Fractions 8037/468,4369/922 is 1/215748
Least Common Multiple of 468,922 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 468,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(468,922) x common factors =2 x 1 = 2
LCM(468,922) = ( 468 × 922 ) / 2
LCM(468,922) = 431496 / 2
LCM(468,922) = 215748
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FAQs on GCF of Fractions of 8037/468, 4369/922
1. What is the HCF of 8037,4369?
The HCF of 8037,4369 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 8037/468, 4369/922?
Answer: GCF of Numerators as per given numbers 8037/468, 4369/922 is
GCF of Numerators i.e. for 8037,4369 is 1
LCM of denominators i.e. for 468,922 is 215748.
Thus, GCF of Fractions is 1/215748.Finally, GCF of Fractions for 8037/468, 4369/922 is 1/215748.