GCF of 1472/904, 1679/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1472/904, 1679/414 i.e 23/187128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1472/904, 1679/414.
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 1472/904,1679/414?
Given fractions are 1472/904,1679/414
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 1472/904,1679/414, numerators are 1472,1679
Denominators are 904,414
The GCF of 1472,1679 is 23 .
LCM of 904,414 is 187128.
The greatest common factor of 1472/904,1679/414 = [GCF of 1472,1679]/[LCM of 904,414]= 23/187128
Therefore, the GCF of 1472/904,1679/414 is 23/187128.
To find the highest common factor of 1472,1679, 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 1679 are 1, 23, 73, 1679
The HCF of 1472,1679 is 23.
Lets's calculate GCF of 1472,1679
| 23 | 1472, 1679 |
| 64, 73 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 1472,1679 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 1679
:1,23,73,1679
Greatest Common Factor
We found the factors 1472,1679 . The biggest common factor number is the GCF number.
So the greatest common factor 1472,1679 is 23.
Lets's calculate LCM of 904,414
| 2 | 904, 414 |
| 452, 207 |
∴ So the LCM of the given numbers is 2 x 452 x 207 = 187128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/187128
Therefore, the GCF of Fractions 1472/904,1679/414 is 23/187128
Least Common Multiple of 904,414 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 904,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(904,414) x common factors =2 x 1 = 2
LCM(904,414) = ( 904 × 414 ) / 2
LCM(904,414) = 374256 / 2
LCM(904,414) = 187128
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FAQs on GCF of Fractions of 1472/904, 1679/414
1. What is the HCF of 1472,1679?
The HCF of 1472,1679 is 23
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 1472/904, 1679/414?
Answer: GCF of Numerators as per given numbers 1472/904, 1679/414 is
GCF of Numerators i.e. for 1472,1679 is 23
LCM of denominators i.e. for 904,414 is 187128.
Thus, GCF of Fractions is 23/187128.Finally, GCF of Fractions for 1472/904, 1679/414 is 23/187128.