Use our free GCF of Fractions Calculator tool to compute the GCF of 857/61, 521/370 i.e 1/22570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 857/61, 521/370.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 857/61,521/370
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 857/61,521/370, numerators are 857,521
Denominators are 61,370
The GCF of 857,521 is 1 .
LCM of 61,370 is 22570.
The greatest common factor of 857/61,521/370 = [GCF of 857,521]/[LCM of 61,370]= 1/22570
Therefore, the GCF of 857/61,521/370 is 1/22570.
To find the highest common factor of 857,521, we have to find the factors of both numbers and list the highest common factor.
The factors of 857 are 1, 857
The factors of 521 are 1, 521
The HCF of 857,521 is 1.
Lets's calculate GCF of 857,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 857
:1,857
Now, list down the factors of 521
:1,521
Greatest Common Factor
We found the factors 857,521 . The biggest common factor number is the GCF number.
So the greatest common factor 857,521 is 1.
Lets's calculate LCM of 61,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 22570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22570
Therefore, the GCF of Fractions 857/61,521/370 is 1/22570
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 61,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,370) x common factors =1 x 1 = 1
LCM(61,370) = ( 61 × 370 ) / 1
LCM(61,370) = 22570 / 1
LCM(61,370) = 22570
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 857,521?
The HCF of 857,521 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 857/61, 521/370?
Answer: GCF of Numerators as per given numbers 857/61, 521/370 is
GCF of Numerators i.e. for 857,521 is 1
LCM of denominators i.e. for 61,370 is 22570.
Thus, GCF of Fractions is 1/22570.Finally, GCF of Fractions for 857/61, 521/370 is 1/22570.