GCF of 227/63, 616/123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 227/63, 616/123 i.e 1/2583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/63, 616/123.
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 227/63,616/123?
Given fractions are 227/63,616/123
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 227/63,616/123, numerators are 227,616
Denominators are 63,123
The GCF of 227,616 is 1 .
LCM of 63,123 is 2583.
The greatest common factor of 227/63,616/123 = [GCF of 227,616]/[LCM of 63,123]= 1/2583
Therefore, the GCF of 227/63,616/123 is 1/2583.
To find the highest common factor of 227,616, we have to find the factors of both numbers and list the highest common factor.
The factors of 227 are 1, 227
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 227,616 is 1.
Lets's calculate GCF of 227,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 227,616 By Matching Biggest Common Factor Method
Now, list down the factors of 227
:1,227
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 227,616 . The biggest common factor number is the GCF number.
So the greatest common factor 227,616 is 1.
Lets's calculate LCM of 63,123
| 3 | 63, 123 |
| 21, 41 |
∴ So the LCM of the given numbers is 3 x 21 x 41 = 2583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2583
Therefore, the GCF of Fractions 227/63,616/123 is 1/2583
Least Common Multiple of 63,123 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 63,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,123) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,123) x common factors =3 x 1 = 3
LCM(63,123) = ( 63 × 123 ) / 3
LCM(63,123) = 7749 / 3
LCM(63,123) = 2583
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FAQs on GCF of Fractions of 227/63, 616/123
1. What is the HCF of 227,616?
The HCF of 227,616 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 227/63, 616/123?
Answer: GCF of Numerators as per given numbers 227/63, 616/123 is
GCF of Numerators i.e. for 227,616 is 1
LCM of denominators i.e. for 63,123 is 2583.
Thus, GCF of Fractions is 1/2583.Finally, GCF of Fractions for 227/63, 616/123 is 1/2583.