GCF of 228/469, 757/659
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 228/469, 757/659 i.e 1/309071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/469, 757/659.
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 228/469,757/659?
Given fractions are 228/469,757/659
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 228/469,757/659, numerators are 228,757
Denominators are 469,659
The GCF of 228,757 is 1 .
LCM of 469,659 is 309071.
The greatest common factor of 228/469,757/659 = [GCF of 228,757]/[LCM of 469,659]= 1/309071
Therefore, the GCF of 228/469,757/659 is 1/309071.
To find the highest common factor of 228,757, 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 757 are 1, 757
The HCF of 228,757 is 1.
Lets's calculate GCF of 228,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 228,757 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 757
:1,757
Greatest Common Factor
We found the factors 228,757 . The biggest common factor number is the GCF number.
So the greatest common factor 228,757 is 1.
Lets's calculate LCM of 469,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 309071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309071
Therefore, the GCF of Fractions 228/469,757/659 is 1/309071
Least Common Multiple of 469,659 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 469,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,659) x common factors =1 x 1 = 1
LCM(469,659) = ( 469 × 659 ) / 1
LCM(469,659) = 309071 / 1
LCM(469,659) = 309071
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FAQs on GCF of Fractions of 228/469, 757/659
1. What is the HCF of 228,757?
The HCF of 228,757 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 228/469, 757/659?
Answer: GCF of Numerators as per given numbers 228/469, 757/659 is
GCF of Numerators i.e. for 228,757 is 1
LCM of denominators i.e. for 469,659 is 309071.
Thus, GCF of Fractions is 1/309071.Finally, GCF of Fractions for 228/469, 757/659 is 1/309071.