GCF of 158/646, 209/287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 158/646, 209/287 i.e 1/185402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/646, 209/287.
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 158/646,209/287?
Given fractions are 158/646,209/287
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 158/646,209/287, numerators are 158,209
Denominators are 646,287
The GCF of 158,209 is 1 .
LCM of 646,287 is 185402.
The greatest common factor of 158/646,209/287 = [GCF of 158,209]/[LCM of 646,287]= 1/185402
Therefore, the GCF of 158/646,209/287 is 1/185402.
To find the highest common factor of 158,209, we have to find the factors of both numbers and list the highest common factor.
The factors of 158 are 1, 2, 79, 158
The factors of 209 are 1, 11, 19, 209
The HCF of 158,209 is 1.
Lets's calculate GCF of 158,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 158,209 By Matching Biggest Common Factor Method
Now, list down the factors of 158
:1,2,79,158
Now, list down the factors of 209
:1,11,19,209
Greatest Common Factor
We found the factors 158,209 . The biggest common factor number is the GCF number.
So the greatest common factor 158,209 is 1.
Lets's calculate LCM of 646,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 185402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185402
Therefore, the GCF of Fractions 158/646,209/287 is 1/185402
Least Common Multiple of 646,287 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 646,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,287) x common factors =1 x 1 = 1
LCM(646,287) = ( 646 × 287 ) / 1
LCM(646,287) = 185402 / 1
LCM(646,287) = 185402
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 158/646, 209/287
1. What is the HCF of 158,209?
The HCF of 158,209 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 158/646, 209/287?
Answer: GCF of Numerators as per given numbers 158/646, 209/287 is
GCF of Numerators i.e. for 158,209 is 1
LCM of denominators i.e. for 646,287 is 185402.
Thus, GCF of Fractions is 1/185402.Finally, GCF of Fractions for 158/646, 209/287 is 1/185402.