GCF of 866/152, 266/537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 866/152, 266/537 i.e 2/81624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/152, 266/537.
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 866/152,266/537?
Given fractions are 866/152,266/537
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 866/152,266/537, numerators are 866,266
Denominators are 152,537
The GCF of 866,266 is 2 .
LCM of 152,537 is 81624.
The greatest common factor of 866/152,266/537 = [GCF of 866,266]/[LCM of 152,537]= 2/81624
Therefore, the GCF of 866/152,266/537 is 2/81624.
To find the highest common factor of 866,266, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The HCF of 866,266 is 2.
Lets's calculate GCF of 866,266
| 2 | 866, 266 |
| 433, 133 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 866,266 By Matching Biggest Common Factor Method
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 866,266 . The biggest common factor number is the GCF number.
So the greatest common factor 866,266 is 2.
Lets's calculate LCM of 152,537
Given numbers has no common factors except 1. So, there LCM is their product i.e 81624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81624
Therefore, the GCF of Fractions 866/152,266/537 is 2/81624
Least Common Multiple of 152,537 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 152,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,537) x common factors =1 x 1 = 1
LCM(152,537) = ( 152 × 537 ) / 1
LCM(152,537) = 81624 / 1
LCM(152,537) = 81624
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FAQs on GCF of Fractions of 866/152, 266/537
1. What is the HCF of 866,266?
The HCF of 866,266 is 2
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 866/152, 266/537?
Answer: GCF of Numerators as per given numbers 866/152, 266/537 is
GCF of Numerators i.e. for 866,266 is 2
LCM of denominators i.e. for 152,537 is 81624.
Thus, GCF of Fractions is 2/81624.Finally, GCF of Fractions for 866/152, 266/537 is 2/81624.