GCF of 236/627, 873/437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 236/627, 873/437 i.e 1/14421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/627, 873/437.
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 236/627,873/437?
Given fractions are 236/627,873/437
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 236/627,873/437, numerators are 236,873
Denominators are 627,437
The GCF of 236,873 is 1 .
LCM of 627,437 is 14421.
The greatest common factor of 236/627,873/437 = [GCF of 236,873]/[LCM of 627,437]= 1/14421
Therefore, the GCF of 236/627,873/437 is 1/14421.
To find the highest common factor of 236,873, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 873 are 1, 3, 9, 97, 291, 873
The HCF of 236,873 is 1.
Lets's calculate GCF of 236,873
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 236,873 By Matching Biggest Common Factor Method
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 873
:1,3,9,97,291,873
Greatest Common Factor
We found the factors 236,873 . The biggest common factor number is the GCF number.
So the greatest common factor 236,873 is 1.
Lets's calculate LCM of 627,437
| 19 | 627, 437 |
| 33, 23 |
∴ So the LCM of the given numbers is 19 x 33 x 23 = 14421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14421
Therefore, the GCF of Fractions 236/627,873/437 is 1/14421
Least Common Multiple of 627,437 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 627,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,437) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(627,437) x common factors =19 x 1 = 19
LCM(627,437) = ( 627 × 437 ) / 19
LCM(627,437) = 273999 / 19
LCM(627,437) = 14421
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FAQs on GCF of Fractions of 236/627, 873/437
1. What is the HCF of 236,873?
The HCF of 236,873 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 236/627, 873/437?
Answer: GCF of Numerators as per given numbers 236/627, 873/437 is
GCF of Numerators i.e. for 236,873 is 1
LCM of denominators i.e. for 627,437 is 14421.
Thus, GCF of Fractions is 1/14421.Finally, GCF of Fractions for 236/627, 873/437 is 1/14421.