GCF of 228/709, 677/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 228/709, 677/216 i.e 1/153144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/709, 677/216.
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 228/709,677/216?
Given fractions are 228/709,677/216
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 228/709,677/216, numerators are 228,677
Denominators are 709,216
The GCF of 228,677 is 1 .
LCM of 709,216 is 153144.
The greatest common factor of 228/709,677/216 = [GCF of 228,677]/[LCM of 709,216]= 1/153144
Therefore, the GCF of 228/709,677/216 is 1/153144.
To find the highest common factor of 228,677, we have to find the factors of both numbers and list the highest common factor.
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The factors of 677 are 1, 677
The HCF of 228,677 is 1.
Lets's calculate GCF of 228,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 228,677 By Matching Biggest Common Factor Method
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Now, list down the factors of 677
:1,677
Greatest Common Factor
We found the factors 228,677 . The biggest common factor number is the GCF number.
So the greatest common factor 228,677 is 1.
Lets's calculate LCM of 709,216
Given numbers has no common factors except 1. So, there LCM is their product i.e 153144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153144
Therefore, the GCF of Fractions 228/709,677/216 is 1/153144
Least Common Multiple of 709,216 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 709,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,216) x common factors =1 x 1 = 1
LCM(709,216) = ( 709 × 216 ) / 1
LCM(709,216) = 153144 / 1
LCM(709,216) = 153144
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 228/709, 677/216
1. What is the HCF of 228,677?
The HCF of 228,677 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 228/709, 677/216?
Answer: GCF of Numerators as per given numbers 228/709, 677/216 is
GCF of Numerators i.e. for 228,677 is 1
LCM of denominators i.e. for 709,216 is 153144.
Thus, GCF of Fractions is 1/153144.Finally, GCF of Fractions for 228/709, 677/216 is 1/153144.