Use our free GCF of Fractions Calculator tool to compute the GCF of 21/77, 219/57, 500/680 i.e 1/2984520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/77, 219/57, 500/680.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/77,219/57,500/680
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 21/77,219/57,500/680, numerators are 21,219,500
Denominators are 77,57,680
The GCF of 21,219,500 is 1 .
LCM of 77,57,680 is 2984520.
The greatest common factor of 21/77,219/57,500/680 = [GCF of 21,219,500]/[LCM of 77,57,680]= 1/2984520
Therefore, the GCF of 21/77,219/57,500/680 is 1/2984520.
To find the highest common factor of 21,219,500, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 219 are 1, 3, 73, 219
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The HCF of 21,219,500 is 1.
Lets's calculate GCF of 21,219,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 219
:1,3,73,219
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 21,219,500 . The biggest common factor number is the GCF number.
So the greatest common factor 21,219,500 is 1.
Lets's calculate LCM of 77,57,680
Given numbers has no common factors except 1. So, there LCM is their product i.e 2984520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2984520
Therefore, the GCF of Fractions 21/77,219/57,500/680 is 1/2984520
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 77,57,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,57,680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,57,680) x common factors =1 x 1 = 1
LCM(77,57,680) = ( 77 × 57 × 680 ) / 1
LCM(77,57,680) = 2984520 / 1
LCM(77,57,680) = 2984520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,219,500?
The HCF of 21,219,500 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 21/77, 219/57, 500/680?
Answer: GCF of Numerators as per given numbers 21/77, 219/57, 500/680 is
GCF of Numerators i.e. for 21,219,500 is 1
LCM of denominators i.e. for 77,57,680 is 2984520.
Thus, GCF of Fractions is 1/2984520.Finally, GCF of Fractions for 21/77, 219/57, 500/680 is 1/2984520.