GCF of 2299/872, 8351/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2299/872, 8351/438 i.e 1/190968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2299/872, 8351/438.
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 2299/872,8351/438?
Given fractions are 2299/872,8351/438
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 2299/872,8351/438, numerators are 2299,8351
Denominators are 872,438
The GCF of 2299,8351 is 1 .
LCM of 872,438 is 190968.
The greatest common factor of 2299/872,8351/438 = [GCF of 2299,8351]/[LCM of 872,438]= 1/190968
Therefore, the GCF of 2299/872,8351/438 is 1/190968.
To find the highest common factor of 2299,8351, we have to find the factors of both numbers and list the highest common factor.
The factors of 2299 are 1, 11, 19, 121, 209, 2299
The factors of 8351 are 1, 7, 1193, 8351
The HCF of 2299,8351 is 1.
Lets's calculate GCF of 2299,8351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2299,8351 By Matching Biggest Common Factor Method
Now, list down the factors of 2299
:1,11,19,121,209,2299
Now, list down the factors of 8351
:1,7,1193,8351
Greatest Common Factor
We found the factors 2299,8351 . The biggest common factor number is the GCF number.
So the greatest common factor 2299,8351 is 1.
Lets's calculate LCM of 872,438
| 2 | 872, 438 |
| 436, 219 |
∴ So the LCM of the given numbers is 2 x 436 x 219 = 190968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190968
Therefore, the GCF of Fractions 2299/872,8351/438 is 1/190968
Least Common Multiple of 872,438 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 872,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,438) x common factors =2 x 1 = 2
LCM(872,438) = ( 872 × 438 ) / 2
LCM(872,438) = 381936 / 2
LCM(872,438) = 190968
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FAQs on GCF of Fractions of 2299/872, 8351/438
1. What is the HCF of 2299,8351?
The HCF of 2299,8351 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 2299/872, 8351/438?
Answer: GCF of Numerators as per given numbers 2299/872, 8351/438 is
GCF of Numerators i.e. for 2299,8351 is 1
LCM of denominators i.e. for 872,438 is 190968.
Thus, GCF of Fractions is 1/190968.Finally, GCF of Fractions for 2299/872, 8351/438 is 1/190968.