Use our free GCF of Fractions Calculator tool to compute the GCF of 692/547, 160/390 i.e 4/213330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 692/547, 160/390.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 692/547,160/390
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 692/547,160/390, numerators are 692,160
Denominators are 547,390
The GCF of 692,160 is 4 .
LCM of 547,390 is 213330.
The greatest common factor of 692/547,160/390 = [GCF of 692,160]/[LCM of 547,390]= 4/213330
Therefore, the GCF of 692/547,160/390 is 4/213330.
To find the highest common factor of 692,160, we have to find the factors of both numbers and list the highest common factor.
The factors of 692 are 1, 2, 4, 173, 346, 692
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The HCF of 692,160 is 4.
Lets's calculate GCF of 692,160
2 | 692, 160 |
2 | 346, 80 |
173, 40 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 692
:1,2,4,173,346,692
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 692,160 . The biggest common factor number is the GCF number.
So the greatest common factor 692,160 is 4.
Lets's calculate LCM of 547,390
Given numbers has no common factors except 1. So, there LCM is their product i.e 213330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/213330
Therefore, the GCF of Fractions 692/547,160/390 is 4/213330
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 547,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,390) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,390) x common factors =1 x 1 = 1
LCM(547,390) = ( 547 × 390 ) / 1
LCM(547,390) = 213330 / 1
LCM(547,390) = 213330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 692,160?
The HCF of 692,160 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 692/547, 160/390?
Answer: GCF of Numerators as per given numbers 692/547, 160/390 is
GCF of Numerators i.e. for 692,160 is 4
LCM of denominators i.e. for 547,390 is 213330.
Thus, GCF of Fractions is 4/213330.Finally, GCF of Fractions for 692/547, 160/390 is 4/213330.