GCF of 239/78, 829/5814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 239/78, 829/5814 i.e 1/75582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/78, 829/5814.
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 239/78,829/5814?
Given fractions are 239/78,829/5814
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 239/78,829/5814, numerators are 239,829
Denominators are 78,5814
The GCF of 239,829 is 1 .
LCM of 78,5814 is 75582.
The greatest common factor of 239/78,829/5814 = [GCF of 239,829]/[LCM of 78,5814]= 1/75582
Therefore, the GCF of 239/78,829/5814 is 1/75582.
To find the highest common factor of 239,829, we have to find the factors of both numbers and list the highest common factor.
The factors of 239 are 1, 239
The factors of 829 are 1, 829
The HCF of 239,829 is 1.
Lets's calculate GCF of 239,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 239,829 By Matching Biggest Common Factor Method
Now, list down the factors of 239
:1,239
Now, list down the factors of 829
:1,829
Greatest Common Factor
We found the factors 239,829 . The biggest common factor number is the GCF number.
So the greatest common factor 239,829 is 1.
Lets's calculate LCM of 78,5814
| 2 | 78, 5814 |
| 3 | 39, 2907 |
| 13, 969 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 969 = 75582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75582
Therefore, the GCF of Fractions 239/78,829/5814 is 1/75582
Least Common Multiple of 78,5814 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 78,5814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,5814) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,5814) x common factors =6 x 1 = 6
LCM(78,5814) = ( 78 × 5814 ) / 6
LCM(78,5814) = 453492 / 6
LCM(78,5814) = 75582
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FAQs on GCF of Fractions of 239/78, 829/5814
1. What is the HCF of 239,829?
The HCF of 239,829 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 239/78, 829/5814?
Answer: GCF of Numerators as per given numbers 239/78, 829/5814 is
GCF of Numerators i.e. for 239,829 is 1
LCM of denominators i.e. for 78,5814 is 75582.
Thus, GCF of Fractions is 1/75582.Finally, GCF of Fractions for 239/78, 829/5814 is 1/75582.