GCF of 285/71, 526/653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 285/71, 526/653 i.e 1/46363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 285/71, 526/653.
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 285/71,526/653?
Given fractions are 285/71,526/653
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 285/71,526/653, numerators are 285,526
Denominators are 71,653
The GCF of 285,526 is 1 .
LCM of 71,653 is 46363.
The greatest common factor of 285/71,526/653 = [GCF of 285,526]/[LCM of 71,653]= 1/46363
Therefore, the GCF of 285/71,526/653 is 1/46363.
To find the highest common factor of 285,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The factors of 526 are 1, 2, 263, 526
The HCF of 285,526 is 1.
Lets's calculate GCF of 285,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 285,526 By Matching Biggest Common Factor Method
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 285,526 . The biggest common factor number is the GCF number.
So the greatest common factor 285,526 is 1.
Lets's calculate LCM of 71,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 46363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46363
Therefore, the GCF of Fractions 285/71,526/653 is 1/46363
Least Common Multiple of 71,653 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 71,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,653) x common factors =1 x 1 = 1
LCM(71,653) = ( 71 × 653 ) / 1
LCM(71,653) = 46363 / 1
LCM(71,653) = 46363
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FAQs on GCF of Fractions of 285/71, 526/653
1. What is the HCF of 285,526?
The HCF of 285,526 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 285/71, 526/653?
Answer: GCF of Numerators as per given numbers 285/71, 526/653 is
GCF of Numerators i.e. for 285,526 is 1
LCM of denominators i.e. for 71,653 is 46363.
Thus, GCF of Fractions is 1/46363.Finally, GCF of Fractions for 285/71, 526/653 is 1/46363.