Use our free GCF of Fractions Calculator tool to compute the GCF of 20/71, 692/49, 520/349 i.e 4/1214171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/71, 692/49, 520/349.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/71,692/49,520/349
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 20/71,692/49,520/349, numerators are 20,692,520
Denominators are 71,49,349
The GCF of 20,692,520 is 4 .
LCM of 71,49,349 is 1214171.
The greatest common factor of 20/71,692/49,520/349 = [GCF of 20,692,520]/[LCM of 71,49,349]= 4/1214171
Therefore, the GCF of 20/71,692/49,520/349 is 4/1214171.
To find the highest common factor of 20,692,520, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 692 are 1, 2, 4, 173, 346, 692
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The HCF of 20,692,520 is 4.
Lets's calculate GCF of 20,692,520
2 | 20, 692, 520 |
2 | 10, 346, 260 |
5, 173, 130 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 692
:1,2,4,173,346,692
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 20,692,520 . The biggest common factor number is the GCF number.
So the greatest common factor 20,692,520 is 4.
Lets's calculate LCM of 71,49,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 1214171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1214171
Therefore, the GCF of Fractions 20/71,692/49,520/349 is 4/1214171
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 71,49,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,49,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,49,349) x common factors =1 x 1 = 1
LCM(71,49,349) = ( 71 × 49 × 349 ) / 1
LCM(71,49,349) = 1214171 / 1
LCM(71,49,349) = 1214171
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,692,520?
The HCF of 20,692,520 is 4
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 20/71, 692/49, 520/349?
Answer: GCF of Numerators as per given numbers 20/71, 692/49, 520/349 is
GCF of Numerators i.e. for 20,692,520 is 4
LCM of denominators i.e. for 71,49,349 is 1214171.
Thus, GCF of Fractions is 4/1214171.Finally, GCF of Fractions for 20/71, 692/49, 520/349 is 4/1214171.