Use our free GCF of Fractions Calculator tool to compute the GCF of 668/24, 549/35, 207/80 i.e 1/1680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/24, 549/35, 207/80.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 668/24,549/35,207/80
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 668/24,549/35,207/80, numerators are 668,549,207
Denominators are 24,35,80
The GCF of 668,549,207 is 1 .
LCM of 24,35,80 is 1680.
The greatest common factor of 668/24,549/35,207/80 = [GCF of 668,549,207]/[LCM of 24,35,80]= 1/1680
Therefore, the GCF of 668/24,549/35,207/80 is 1/1680.
To find the highest common factor of 668,549,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 549 are 1, 3, 9, 61, 183, 549
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 668,549,207 is 1.
Lets's calculate GCF of 668,549,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 549
:1,3,9,61,183,549
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 668,549,207 . The biggest common factor number is the GCF number.
So the greatest common factor 668,549,207 is 1.
Lets's calculate LCM of 24,35,80
2 | 24, 35, 80 |
2 | 12, 35, 40 |
2 | 6, 35, 20 |
5 | 3, 35, 10 |
3, 7, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 3 x 7 x 2 = 1680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680
Therefore, the GCF of Fractions 668/24,549/35,207/80 is 1/1680
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 24,35,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,35,80) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(24,35,80) x common factors =1 x 40 = 40
LCM(24,35,80) = ( 24 × 35 × 80 ) / 40
LCM(24,35,80) = 67200 / 40
LCM(24,35,80) = 1680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 668,549,207?
The HCF of 668,549,207 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 668/24, 549/35, 207/80?
Answer: GCF of Numerators as per given numbers 668/24, 549/35, 207/80 is
GCF of Numerators i.e. for 668,549,207 is 1
LCM of denominators i.e. for 24,35,80 is 1680.
Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 668/24, 549/35, 207/80 is 1/1680.