Use our free GCF of Fractions Calculator tool to compute the GCF of 768/173, 207/702 i.e 3/121446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/173, 207/702.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 768/173,207/702
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 768/173,207/702, numerators are 768,207
Denominators are 173,702
The GCF of 768,207 is 3 .
LCM of 173,702 is 121446.
The greatest common factor of 768/173,207/702 = [GCF of 768,207]/[LCM of 173,702]= 3/121446
Therefore, the GCF of 768/173,207/702 is 3/121446.
To find the highest common factor of 768,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 768,207 is 3.
Lets's calculate GCF of 768,207
3 | 768, 207 |
256, 69 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 768,207 . The biggest common factor number is the GCF number.
So the greatest common factor 768,207 is 3.
Lets's calculate LCM of 173,702
Given numbers has no common factors except 1. So, there LCM is their product i.e 121446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/121446
Therefore, the GCF of Fractions 768/173,207/702 is 3/121446
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 173,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,702) x common factors =1 x 1 = 1
LCM(173,702) = ( 173 × 702 ) / 1
LCM(173,702) = 121446 / 1
LCM(173,702) = 121446
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 768,207?
The HCF of 768,207 is 3
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 768/173, 207/702?
Answer: GCF of Numerators as per given numbers 768/173, 207/702 is
GCF of Numerators i.e. for 768,207 is 3
LCM of denominators i.e. for 173,702 is 121446.
Thus, GCF of Fractions is 3/121446.Finally, GCF of Fractions for 768/173, 207/702 is 3/121446.