GCF of 825/27, 452/877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 825/27, 452/877 i.e 1/23679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/27, 452/877.
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 825/27,452/877?
Given fractions are 825/27,452/877
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 825/27,452/877, numerators are 825,452
Denominators are 27,877
The GCF of 825,452 is 1 .
LCM of 27,877 is 23679.
The greatest common factor of 825/27,452/877 = [GCF of 825,452]/[LCM of 27,877]= 1/23679
Therefore, the GCF of 825/27,452/877 is 1/23679.
To find the highest common factor of 825,452, we have to find the factors of both numbers and list the highest common factor.
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 452 are 1, 2, 4, 113, 226, 452
The HCF of 825,452 is 1.
Lets's calculate GCF of 825,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 825,452 By Matching Biggest Common Factor Method
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 825,452 . The biggest common factor number is the GCF number.
So the greatest common factor 825,452 is 1.
Lets's calculate LCM of 27,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 23679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23679
Therefore, the GCF of Fractions 825/27,452/877 is 1/23679
Least Common Multiple of 27,877 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 27,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,877) x common factors =1 x 1 = 1
LCM(27,877) = ( 27 × 877 ) / 1
LCM(27,877) = 23679 / 1
LCM(27,877) = 23679
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FAQs on GCF of Fractions of 825/27, 452/877
1. What is the HCF of 825,452?
The HCF of 825,452 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 825/27, 452/877?
Answer: GCF of Numerators as per given numbers 825/27, 452/877 is
GCF of Numerators i.e. for 825,452 is 1
LCM of denominators i.e. for 27,877 is 23679.
Thus, GCF of Fractions is 1/23679.Finally, GCF of Fractions for 825/27, 452/877 is 1/23679.