Use our free GCF of Fractions Calculator tool to compute the GCF of 210/358, 525/885 i.e 105/316830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/358, 525/885.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/358,525/885
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 210/358,525/885, numerators are 210,525
Denominators are 358,885
The GCF of 210,525 is 105 .
LCM of 358,885 is 316830.
The greatest common factor of 210/358,525/885 = [GCF of 210,525]/[LCM of 358,885]= 105/316830
Therefore, the GCF of 210/358,525/885 is 105/316830.
To find the highest common factor of 210,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 210,525 is 105.
Lets's calculate GCF of 210,525
3 | 210, 525 |
5 | 70, 175 |
7 | 14, 35 |
2, 5 |
∴ So the GCF of the given numbers is 3 x 5 x 7 = 105
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 210,525 . The biggest common factor number is the GCF number.
So the greatest common factor 210,525 is 105.
Lets's calculate LCM of 358,885
Given numbers has no common factors except 1. So, there LCM is their product i.e 316830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/316830
Therefore, the GCF of Fractions 210/358,525/885 is 105/316830
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 358,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,885) x common factors =1 x 1 = 1
LCM(358,885) = ( 358 × 885 ) / 1
LCM(358,885) = 316830 / 1
LCM(358,885) = 316830
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 210,525?
The HCF of 210,525 is 105
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 210/358, 525/885?
Answer: GCF of Numerators as per given numbers 210/358, 525/885 is
GCF of Numerators i.e. for 210,525 is 105
LCM of denominators i.e. for 358,885 is 316830.
Thus, GCF of Fractions is 105/316830.Finally, GCF of Fractions for 210/358, 525/885 is 105/316830.