Use our free GCF of Fractions Calculator tool to compute the GCF of 84/96, 503/71, 496/851 i.e 1/5800416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/96, 503/71, 496/851.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/96,503/71,496/851
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 84/96,503/71,496/851, numerators are 84,503,496
Denominators are 96,71,851
The GCF of 84,503,496 is 1 .
LCM of 96,71,851 is 5800416.
The greatest common factor of 84/96,503/71,496/851 = [GCF of 84,503,496]/[LCM of 96,71,851]= 1/5800416
Therefore, the GCF of 84/96,503/71,496/851 is 1/5800416.
To find the highest common factor of 84,503,496, we have to find the factors of both numbers and list the highest common factor.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 503 are 1, 503
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The HCF of 84,503,496 is 1.
Lets's calculate GCF of 84,503,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 503
:1,503
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 84,503,496 . The biggest common factor number is the GCF number.
So the greatest common factor 84,503,496 is 1.
Lets's calculate LCM of 96,71,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 5800416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5800416
Therefore, the GCF of Fractions 84/96,503/71,496/851 is 1/5800416
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 96,71,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,71,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,71,851) x common factors =1 x 1 = 1
LCM(96,71,851) = ( 96 × 71 × 851 ) / 1
LCM(96,71,851) = 5800416 / 1
LCM(96,71,851) = 5800416
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 84,503,496?
The HCF of 84,503,496 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 84/96, 503/71, 496/851?
Answer: GCF of Numerators as per given numbers 84/96, 503/71, 496/851 is
GCF of Numerators i.e. for 84,503,496 is 1
LCM of denominators i.e. for 96,71,851 is 5800416.
Thus, GCF of Fractions is 1/5800416.Finally, GCF of Fractions for 84/96, 503/71, 496/851 is 1/5800416.