GCF of 775/266, 200/902, 697/710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 775/266, 200/902, 697/710 i.e 1/42587930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 775/266, 200/902, 697/710.
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 775/266,200/902,697/710?
Given fractions are 775/266,200/902,697/710
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 775/266,200/902,697/710, numerators are 775,200,697
Denominators are 266,902,710
The GCF of 775,200,697 is 1 .
LCM of 266,902,710 is 42587930.
The greatest common factor of 775/266,200/902,697/710 = [GCF of 775,200,697]/[LCM of 266,902,710]= 1/42587930
Therefore, the GCF of 775/266,200/902,697/710 is 1/42587930.
To find the highest common factor of 775,200,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 775 are 1, 5, 25, 31, 155, 775
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The factors of 697 are 1, 17, 41, 697
The HCF of 775,200,697 is 1.
Lets's calculate GCF of 775,200,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 775,200,697 By Matching Biggest Common Factor Method
Now, list down the factors of 775
:1,5,25,31,155,775
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 775,200,697 . The biggest common factor number is the GCF number.
So the greatest common factor 775,200,697 is 1.
Lets's calculate LCM of 266,902,710
| 2 | 266, 902, 710 |
| 133, 451, 355 |
∴ So the LCM of the given numbers is 2 x 133 x 451 x 355 = 42587930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42587930
Therefore, the GCF of Fractions 775/266,200/902,697/710 is 1/42587930
Least Common Multiple of 266,902,710 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 266,902,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,902,710) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(266,902,710) x common factors =2 x 2 = 4
LCM(266,902,710) = ( 266 × 902 × 710 ) / 4
LCM(266,902,710) = 170351720 / 4
LCM(266,902,710) = 42587930
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 775/266, 200/902, 697/710
1. What is the HCF of 775,200,697?
The HCF of 775,200,697 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 775/266, 200/902, 697/710?
Answer: GCF of Numerators as per given numbers 775/266, 200/902, 697/710 is
GCF of Numerators i.e. for 775,200,697 is 1
LCM of denominators i.e. for 266,902,710 is 42587930.
Thus, GCF of Fractions is 1/42587930.Finally, GCF of Fractions for 775/266, 200/902, 697/710 is 1/42587930.