GCF of 142/444, 1359/263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 142/444, 1359/263 i.e 1/116772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 142/444, 1359/263.
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 142/444,1359/263?
Given fractions are 142/444,1359/263
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 142/444,1359/263, numerators are 142,1359
Denominators are 444,263
The GCF of 142,1359 is 1 .
LCM of 444,263 is 116772.
The greatest common factor of 142/444,1359/263 = [GCF of 142,1359]/[LCM of 444,263]= 1/116772
Therefore, the GCF of 142/444,1359/263 is 1/116772.
To find the highest common factor of 142,1359, we have to find the factors of both numbers and list the highest common factor.
The factors of 142 are 1, 2, 71, 142
The factors of 1359 are 1, 3, 9, 151, 453, 1359
The HCF of 142,1359 is 1.
Lets's calculate GCF of 142,1359
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 142,1359 By Matching Biggest Common Factor Method
Now, list down the factors of 142
:1,2,71,142
Now, list down the factors of 1359
:1,3,9,151,453,1359
Greatest Common Factor
We found the factors 142,1359 . The biggest common factor number is the GCF number.
So the greatest common factor 142,1359 is 1.
Lets's calculate LCM of 444,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 116772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116772
Therefore, the GCF of Fractions 142/444,1359/263 is 1/116772
Least Common Multiple of 444,263 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 444,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(444,263) x common factors =1 x 1 = 1
LCM(444,263) = ( 444 × 263 ) / 1
LCM(444,263) = 116772 / 1
LCM(444,263) = 116772
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 142/444, 1359/263
1. What is the HCF of 142,1359?
The HCF of 142,1359 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 142/444, 1359/263?
Answer: GCF of Numerators as per given numbers 142/444, 1359/263 is
GCF of Numerators i.e. for 142,1359 is 1
LCM of denominators i.e. for 444,263 is 116772.
Thus, GCF of Fractions is 1/116772.Finally, GCF of Fractions for 142/444, 1359/263 is 1/116772.