GCF of 1472/217, 9952/8749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1472/217, 9952/8749 i.e 32/1898533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1472/217, 9952/8749.
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 1472/217,9952/8749?
Given fractions are 1472/217,9952/8749
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 1472/217,9952/8749, numerators are 1472,9952
Denominators are 217,8749
The GCF of 1472,9952 is 32 .
LCM of 217,8749 is 1898533.
The greatest common factor of 1472/217,9952/8749 = [GCF of 1472,9952]/[LCM of 217,8749]= 32/1898533
Therefore, the GCF of 1472/217,9952/8749 is 32/1898533.
To find the highest common factor of 1472,9952, 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 9952 are 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952
The HCF of 1472,9952 is 32.
Lets's calculate GCF of 1472,9952
| 2 | 1472, 9952 |
| 2 | 736, 4976 |
| 2 | 368, 2488 |
| 2 | 184, 1244 |
| 2 | 92, 622 |
| 46, 311 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 1472,9952 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 9952
:1,2,4,8,16,32,311,622,1244,2488,4976,9952
Greatest Common Factor
We found the factors 1472,9952 . The biggest common factor number is the GCF number.
So the greatest common factor 1472,9952 is 32.
Lets's calculate LCM of 217,8749
Given numbers has no common factors except 1. So, there LCM is their product i.e 1898533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/1898533
Therefore, the GCF of Fractions 1472/217,9952/8749 is 32/1898533
Least Common Multiple of 217,8749 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 217,8749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,8749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,8749) x common factors =1 x 1 = 1
LCM(217,8749) = ( 217 × 8749 ) / 1
LCM(217,8749) = 1898533 / 1
LCM(217,8749) = 1898533
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FAQs on GCF of Fractions of 1472/217, 9952/8749
1. What is the HCF of 1472,9952?
The HCF of 1472,9952 is 32
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 1472/217, 9952/8749?
Answer: GCF of Numerators as per given numbers 1472/217, 9952/8749 is
GCF of Numerators i.e. for 1472,9952 is 32
LCM of denominators i.e. for 217,8749 is 1898533.
Thus, GCF of Fractions is 32/1898533.Finally, GCF of Fractions for 1472/217, 9952/8749 is 32/1898533.