GCF of 871/825, 8851/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 871/825, 8851/506 i.e 1/37950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 871/825, 8851/506.
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 871/825,8851/506?
Given fractions are 871/825,8851/506
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 871/825,8851/506, numerators are 871,8851
Denominators are 825,506
The GCF of 871,8851 is 1 .
LCM of 825,506 is 37950.
The greatest common factor of 871/825,8851/506 = [GCF of 871,8851]/[LCM of 825,506]= 1/37950
Therefore, the GCF of 871/825,8851/506 is 1/37950.
To find the highest common factor of 871,8851, we have to find the factors of both numbers and list the highest common factor.
The factors of 871 are 1, 13, 67, 871
The factors of 8851 are 1, 53, 167, 8851
The HCF of 871,8851 is 1.
Lets's calculate GCF of 871,8851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 871,8851 By Matching Biggest Common Factor Method
Now, list down the factors of 871
:1,13,67,871
Now, list down the factors of 8851
:1,53,167,8851
Greatest Common Factor
We found the factors 871,8851 . The biggest common factor number is the GCF number.
So the greatest common factor 871,8851 is 1.
Lets's calculate LCM of 825,506
| 11 | 825, 506 |
| 75, 46 |
∴ So the LCM of the given numbers is 11 x 75 x 46 = 37950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37950
Therefore, the GCF of Fractions 871/825,8851/506 is 1/37950
Least Common Multiple of 825,506 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 825,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,506) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(825,506) x common factors =11 x 1 = 11
LCM(825,506) = ( 825 × 506 ) / 11
LCM(825,506) = 417450 / 11
LCM(825,506) = 37950
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FAQs on GCF of Fractions of 871/825, 8851/506
1. What is the HCF of 871,8851?
The HCF of 871,8851 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 871/825, 8851/506?
Answer: GCF of Numerators as per given numbers 871/825, 8851/506 is
GCF of Numerators i.e. for 871,8851 is 1
LCM of denominators i.e. for 825,506 is 37950.
Thus, GCF of Fractions is 1/37950.Finally, GCF of Fractions for 871/825, 8851/506 is 1/37950.