Use our free GCF of Fractions Calculator tool to compute the GCF of 48/93, 419/48, 971/503 i.e 1/748464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/93, 419/48, 971/503.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/93,419/48,971/503
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 48/93,419/48,971/503, numerators are 48,419,971
Denominators are 93,48,503
The GCF of 48,419,971 is 1 .
LCM of 93,48,503 is 748464.
The greatest common factor of 48/93,419/48,971/503 = [GCF of 48,419,971]/[LCM of 93,48,503]= 1/748464
Therefore, the GCF of 48/93,419/48,971/503 is 1/748464.
To find the highest common factor of 48,419,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 419 are 1, 419
The factors of 971 are 1, 971
The HCF of 48,419,971 is 1.
Lets's calculate GCF of 48,419,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 419
:1,419
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 48,419,971 . The biggest common factor number is the GCF number.
So the greatest common factor 48,419,971 is 1.
Lets's calculate LCM of 93,48,503
3 | 93, 48, 503 |
31, 16, 503 |
∴ So the LCM of the given numbers is 3 x 31 x 16 x 503 = 748464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/748464
Therefore, the GCF of Fractions 48/93,419/48,971/503 is 1/748464
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 93,48,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,48,503) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,48,503) x common factors =1 x 3 = 3
LCM(93,48,503) = ( 93 × 48 × 503 ) / 3
LCM(93,48,503) = 2245392 / 3
LCM(93,48,503) = 748464
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,419,971?
The HCF of 48,419,971 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 48/93, 419/48, 971/503?
Answer: GCF of Numerators as per given numbers 48/93, 419/48, 971/503 is
GCF of Numerators i.e. for 48,419,971 is 1
LCM of denominators i.e. for 93,48,503 is 748464.
Thus, GCF of Fractions is 1/748464.Finally, GCF of Fractions for 48/93, 419/48, 971/503 is 1/748464.