GCF of 1472/388, 8966/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1472/388, 8966/206 i.e 2/39964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1472/388, 8966/206.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1472/388,8966/206?
Given fractions are 1472/388,8966/206
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 1472/388,8966/206, numerators are 1472,8966
Denominators are 388,206
The GCF of 1472,8966 is 2 .
LCM of 388,206 is 39964.
The greatest common factor of 1472/388,8966/206 = [GCF of 1472,8966]/[LCM of 388,206]= 2/39964
Therefore, the GCF of 1472/388,8966/206 is 2/39964.
To find the highest common factor of 1472,8966, we have to find the factors of both numbers and list the highest common factor.
The factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472
The factors of 8966 are 1, 2, 4483, 8966
The HCF of 1472,8966 is 2.
Lets's calculate GCF of 1472,8966
| 2 | 1472, 8966 |
| 736, 4483 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1472,8966 By Matching Biggest Common Factor Method
Now, list down the factors of 1472
:1,2,4,8,16,23,32,46,64,92,184,368,736,1472
Now, list down the factors of 8966
:1,2,4483,8966
Greatest Common Factor
We found the factors 1472,8966 . The biggest common factor number is the GCF number.
So the greatest common factor 1472,8966 is 2.
Lets's calculate LCM of 388,206
| 2 | 388, 206 |
| 194, 103 |
∴ So the LCM of the given numbers is 2 x 194 x 103 = 39964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39964
Therefore, the GCF of Fractions 1472/388,8966/206 is 2/39964
Least Common Multiple of 388,206 with GCF Formula
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 388,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,206) x common factors =2 x 1 = 2
LCM(388,206) = ( 388 × 206 ) / 2
LCM(388,206) = 79928 / 2
LCM(388,206) = 39964
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FAQs on GCF of Fractions of 1472/388, 8966/206
1. What is the HCF of 1472,8966?
The HCF of 1472,8966 is 2
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 1472/388, 8966/206?
Answer: GCF of Numerators as per given numbers 1472/388, 8966/206 is
GCF of Numerators i.e. for 1472,8966 is 2
LCM of denominators i.e. for 388,206 is 39964.
Thus, GCF of Fractions is 2/39964.Finally, GCF of Fractions for 1472/388, 8966/206 is 2/39964.