Use our free GCF of Fractions Calculator tool to compute the GCF of 610/841, 925/985 i.e 5/828385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/841, 925/985.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/841,925/985
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 610/841,925/985, numerators are 610,925
Denominators are 841,985
The GCF of 610,925 is 5 .
LCM of 841,985 is 828385.
The greatest common factor of 610/841,925/985 = [GCF of 610,925]/[LCM of 841,985]= 5/828385
Therefore, the GCF of 610/841,925/985 is 5/828385.
To find the highest common factor of 610,925, we have to find the factors of both numbers and list the highest common factor.
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610
The factors of 925 are 1, 5, 25, 37, 185, 925
The HCF of 610,925 is 5.
Lets's calculate GCF of 610,925
5 | 610, 925 |
122, 185 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 610
:1,2,5,10,61,122,305,610
Now, list down the factors of 925
:1,5,25,37,185,925
Greatest Common Factor
We found the factors 610,925 . The biggest common factor number is the GCF number.
So the greatest common factor 610,925 is 5.
Lets's calculate LCM of 841,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 828385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/828385
Therefore, the GCF of Fractions 610/841,925/985 is 5/828385
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 841,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,985) x common factors =1 x 1 = 1
LCM(841,985) = ( 841 × 985 ) / 1
LCM(841,985) = 828385 / 1
LCM(841,985) = 828385
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 610,925?
The HCF of 610,925 is 5
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 610/841, 925/985?
Answer: GCF of Numerators as per given numbers 610/841, 925/985 is
GCF of Numerators i.e. for 610,925 is 5
LCM of denominators i.e. for 841,985 is 828385.
Thus, GCF of Fractions is 5/828385.Finally, GCF of Fractions for 610/841, 925/985 is 5/828385.