Use our free GCF of Fractions Calculator tool to compute the GCF of 876/340, 886/525 i.e 2/35700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/340, 886/525.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 876/340,886/525
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 876/340,886/525, numerators are 876,886
Denominators are 340,525
The GCF of 876,886 is 2 .
LCM of 340,525 is 35700.
The greatest common factor of 876/340,886/525 = [GCF of 876,886]/[LCM of 340,525]= 2/35700
Therefore, the GCF of 876/340,886/525 is 2/35700.
To find the highest common factor of 876,886, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 886 are 1, 2, 443, 886
The HCF of 876,886 is 2.
Lets's calculate GCF of 876,886
2 | 876, 886 |
438, 443 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 876,886 . The biggest common factor number is the GCF number.
So the greatest common factor 876,886 is 2.
Lets's calculate LCM of 340,525
5 | 340, 525 |
68, 105 |
∴ So the LCM of the given numbers is 5 x 68 x 105 = 35700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35700
Therefore, the GCF of Fractions 876/340,886/525 is 2/35700
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 340,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,525) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(340,525) x common factors =5 x 1 = 5
LCM(340,525) = ( 340 × 525 ) / 5
LCM(340,525) = 178500 / 5
LCM(340,525) = 35700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 876,886?
The HCF of 876,886 is 2
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 876/340, 886/525?
Answer: GCF of Numerators as per given numbers 876/340, 886/525 is
GCF of Numerators i.e. for 876,886 is 2
LCM of denominators i.e. for 340,525 is 35700.
Thus, GCF of Fractions is 2/35700.Finally, GCF of Fractions for 876/340, 886/525 is 2/35700.