GCF of 8080/432, 2257/376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8080/432, 2257/376 i.e 1/20304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8080/432, 2257/376.
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 8080/432,2257/376?
Given fractions are 8080/432,2257/376
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 8080/432,2257/376, numerators are 8080,2257
Denominators are 432,376
The GCF of 8080,2257 is 1 .
LCM of 432,376 is 20304.
The greatest common factor of 8080/432,2257/376 = [GCF of 8080,2257]/[LCM of 432,376]= 1/20304
Therefore, the GCF of 8080/432,2257/376 is 1/20304.
To find the highest common factor of 8080,2257, we have to find the factors of both numbers and list the highest common factor.
The factors of 8080 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080
The factors of 2257 are 1, 37, 61, 2257
The HCF of 8080,2257 is 1.
Lets's calculate GCF of 8080,2257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8080,2257 By Matching Biggest Common Factor Method
Now, list down the factors of 8080
:1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080
Now, list down the factors of 2257
:1,37,61,2257
Greatest Common Factor
We found the factors 8080,2257 . The biggest common factor number is the GCF number.
So the greatest common factor 8080,2257 is 1.
Lets's calculate LCM of 432,376
| 2 | 432, 376 |
| 2 | 216, 188 |
| 2 | 108, 94 |
| 54, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 54 x 47 = 20304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20304
Therefore, the GCF of Fractions 8080/432,2257/376 is 1/20304
Least Common Multiple of 432,376 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 432,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,376) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(432,376) x common factors =8 x 1 = 8
LCM(432,376) = ( 432 × 376 ) / 8
LCM(432,376) = 162432 / 8
LCM(432,376) = 20304
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FAQs on GCF of Fractions of 8080/432, 2257/376
1. What is the HCF of 8080,2257?
The HCF of 8080,2257 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 8080/432, 2257/376?
Answer: GCF of Numerators as per given numbers 8080/432, 2257/376 is
GCF of Numerators i.e. for 8080,2257 is 1
LCM of denominators i.e. for 432,376 is 20304.
Thus, GCF of Fractions is 1/20304.Finally, GCF of Fractions for 8080/432, 2257/376 is 1/20304.