GCF of 255/525, 808/841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 255/525, 808/841 i.e 1/441525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/525, 808/841.
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 255/525,808/841?
Given fractions are 255/525,808/841
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 255/525,808/841, numerators are 255,808
Denominators are 525,841
The GCF of 255,808 is 1 .
LCM of 525,841 is 441525.
The greatest common factor of 255/525,808/841 = [GCF of 255,808]/[LCM of 525,841]= 1/441525
Therefore, the GCF of 255/525,808/841 is 1/441525.
To find the highest common factor of 255,808, we have to find the factors of both numbers and list the highest common factor.
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The HCF of 255,808 is 1.
Lets's calculate GCF of 255,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 255,808 By Matching Biggest Common Factor Method
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 255,808 . The biggest common factor number is the GCF number.
So the greatest common factor 255,808 is 1.
Lets's calculate LCM of 525,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 441525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/441525
Therefore, the GCF of Fractions 255/525,808/841 is 1/441525
Least Common Multiple of 525,841 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 525,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,841) x common factors =1 x 1 = 1
LCM(525,841) = ( 525 × 841 ) / 1
LCM(525,841) = 441525 / 1
LCM(525,841) = 441525
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FAQs on GCF of Fractions of 255/525, 808/841
1. What is the HCF of 255,808?
The HCF of 255,808 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 255/525, 808/841?
Answer: GCF of Numerators as per given numbers 255/525, 808/841 is
GCF of Numerators i.e. for 255,808 is 1
LCM of denominators i.e. for 525,841 is 441525.
Thus, GCF of Fractions is 1/441525.Finally, GCF of Fractions for 255/525, 808/841 is 1/441525.