GCF of 143/226, 778/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 143/226, 778/289 i.e 1/65314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/226, 778/289.
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 143/226,778/289?
Given fractions are 143/226,778/289
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 143/226,778/289, numerators are 143,778
Denominators are 226,289
The GCF of 143,778 is 1 .
LCM of 226,289 is 65314.
The greatest common factor of 143/226,778/289 = [GCF of 143,778]/[LCM of 226,289]= 1/65314
Therefore, the GCF of 143/226,778/289 is 1/65314.
To find the highest common factor of 143,778, we have to find the factors of both numbers and list the highest common factor.
The factors of 143 are 1, 11, 13, 143
The factors of 778 are 1, 2, 389, 778
The HCF of 143,778 is 1.
Lets's calculate GCF of 143,778
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 143,778 By Matching Biggest Common Factor Method
Now, list down the factors of 143
:1,11,13,143
Now, list down the factors of 778
:1,2,389,778
Greatest Common Factor
We found the factors 143,778 . The biggest common factor number is the GCF number.
So the greatest common factor 143,778 is 1.
Lets's calculate LCM of 226,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 65314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65314
Therefore, the GCF of Fractions 143/226,778/289 is 1/65314
Least Common Multiple of 226,289 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 226,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,289) x common factors =1 x 1 = 1
LCM(226,289) = ( 226 × 289 ) / 1
LCM(226,289) = 65314 / 1
LCM(226,289) = 65314
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FAQs on GCF of Fractions of 143/226, 778/289
1. What is the HCF of 143,778?
The HCF of 143,778 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 143/226, 778/289?
Answer: GCF of Numerators as per given numbers 143/226, 778/289 is
GCF of Numerators i.e. for 143,778 is 1
LCM of denominators i.e. for 226,289 is 65314.
Thus, GCF of Fractions is 1/65314.Finally, GCF of Fractions for 143/226, 778/289 is 1/65314.