GCF of 266/711, 762/359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 266/711, 762/359 i.e 2/255249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 266/711, 762/359.
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 266/711,762/359?
Given fractions are 266/711,762/359
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 266/711,762/359, numerators are 266,762
Denominators are 711,359
The GCF of 266,762 is 2 .
LCM of 711,359 is 255249.
The greatest common factor of 266/711,762/359 = [GCF of 266,762]/[LCM of 711,359]= 2/255249
Therefore, the GCF of 266/711,762/359 is 2/255249.
To find the highest common factor of 266,762, 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 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 266,762 is 2.
Lets's calculate GCF of 266,762
| 2 | 266, 762 |
| 133, 381 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 266,762 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 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 266,762 . The biggest common factor number is the GCF number.
So the greatest common factor 266,762 is 2.
Lets's calculate LCM of 711,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 255249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255249
Therefore, the GCF of Fractions 266/711,762/359 is 2/255249
Least Common Multiple of 711,359 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 711,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,359) x common factors =1 x 1 = 1
LCM(711,359) = ( 711 × 359 ) / 1
LCM(711,359) = 255249 / 1
LCM(711,359) = 255249
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FAQs on GCF of Fractions of 266/711, 762/359
1. What is the HCF of 266,762?
The HCF of 266,762 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 266/711, 762/359?
Answer: GCF of Numerators as per given numbers 266/711, 762/359 is
GCF of Numerators i.e. for 266,762 is 2
LCM of denominators i.e. for 711,359 is 255249.
Thus, GCF of Fractions is 2/255249.Finally, GCF of Fractions for 266/711, 762/359 is 2/255249.