Use our free GCF of Fractions Calculator tool to compute the GCF of 911/850, 357/124 i.e 1/52700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/850, 357/124.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 911/850,357/124
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 911/850,357/124, numerators are 911,357
Denominators are 850,124
The GCF of 911,357 is 1 .
LCM of 850,124 is 52700.
The greatest common factor of 911/850,357/124 = [GCF of 911,357]/[LCM of 850,124]= 1/52700
Therefore, the GCF of 911/850,357/124 is 1/52700.
To find the highest common factor of 911,357, we have to find the factors of both numbers and list the highest common factor.
The factors of 911 are 1, 911
The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357
The HCF of 911,357 is 1.
Lets's calculate GCF of 911,357
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 911
:1,911
Now, list down the factors of 357
:1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 911,357 . The biggest common factor number is the GCF number.
So the greatest common factor 911,357 is 1.
Lets's calculate LCM of 850,124
2 | 850, 124 |
425, 62 |
∴ So the LCM of the given numbers is 2 x 425 x 62 = 52700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52700
Therefore, the GCF of Fractions 911/850,357/124 is 1/52700
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 850,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,124) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,124) x common factors =2 x 1 = 2
LCM(850,124) = ( 850 × 124 ) / 2
LCM(850,124) = 105400 / 2
LCM(850,124) = 52700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 911,357?
The HCF of 911,357 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 911/850, 357/124?
Answer: GCF of Numerators as per given numbers 911/850, 357/124 is
GCF of Numerators i.e. for 911,357 is 1
LCM of denominators i.e. for 850,124 is 52700.
Thus, GCF of Fractions is 1/52700.Finally, GCF of Fractions for 911/850, 357/124 is 1/52700.