GCF of 266/58, 874/227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 266/58, 874/227 i.e 38/13166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 266/58, 874/227.
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 266/58,874/227?
Given fractions are 266/58,874/227
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 266/58,874/227, numerators are 266,874
Denominators are 58,227
The GCF of 266,874 is 38 .
LCM of 58,227 is 13166.
The greatest common factor of 266/58,874/227 = [GCF of 266,874]/[LCM of 58,227]= 38/13166
Therefore, the GCF of 266/58,874/227 is 38/13166.
To find the highest common factor of 266,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 266,874 is 38.
Lets's calculate GCF of 266,874
| 2 | 266, 874 |
| 19 | 133, 437 |
| 7, 23 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 266,874 By Matching Biggest Common Factor Method
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 266,874 . The biggest common factor number is the GCF number.
So the greatest common factor 266,874 is 38.
Lets's calculate LCM of 58,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 13166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/13166
Therefore, the GCF of Fractions 266/58,874/227 is 38/13166
Least Common Multiple of 58,227 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 58,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,227) x common factors =1 x 1 = 1
LCM(58,227) = ( 58 × 227 ) / 1
LCM(58,227) = 13166 / 1
LCM(58,227) = 13166
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FAQs on GCF of Fractions of 266/58, 874/227
1. What is the HCF of 266,874?
The HCF of 266,874 is 38
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 266/58, 874/227?
Answer: GCF of Numerators as per given numbers 266/58, 874/227 is
GCF of Numerators i.e. for 266,874 is 38
LCM of denominators i.e. for 58,227 is 13166.
Thus, GCF of Fractions is 38/13166.Finally, GCF of Fractions for 266/58, 874/227 is 38/13166.