GCF of 9208/104, 4640/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9208/104, 4640/970 i.e 8/50440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9208/104, 4640/970.
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 9208/104,4640/970?
Given fractions are 9208/104,4640/970
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 9208/104,4640/970, numerators are 9208,4640
Denominators are 104,970
The GCF of 9208,4640 is 8 .
LCM of 104,970 is 50440.
The greatest common factor of 9208/104,4640/970 = [GCF of 9208,4640]/[LCM of 104,970]= 8/50440
Therefore, the GCF of 9208/104,4640/970 is 8/50440.
To find the highest common factor of 9208,4640, we have to find the factors of both numbers and list the highest common factor.
The factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208
The factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640
The HCF of 9208,4640 is 8.
Lets's calculate GCF of 9208,4640
| 2 | 9208, 4640 |
| 2 | 4604, 2320 |
| 2 | 2302, 1160 |
| 1151, 580 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9208,4640 By Matching Biggest Common Factor Method
Now, list down the factors of 9208
:1,2,4,8,1151,2302,4604,9208
Now, list down the factors of 4640
:1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640
Greatest Common Factor
We found the factors 9208,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 9208,4640 is 8.
Lets's calculate LCM of 104,970
| 2 | 104, 970 |
| 52, 485 |
∴ So the LCM of the given numbers is 2 x 52 x 485 = 50440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/50440
Therefore, the GCF of Fractions 9208/104,4640/970 is 8/50440
Least Common Multiple of 104,970 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 104,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(104,970) x common factors =2 x 1 = 2
LCM(104,970) = ( 104 × 970 ) / 2
LCM(104,970) = 100880 / 2
LCM(104,970) = 50440
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FAQs on GCF of Fractions of 9208/104, 4640/970
1. What is the HCF of 9208,4640?
The HCF of 9208,4640 is 8
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 9208/104, 4640/970?
Answer: GCF of Numerators as per given numbers 9208/104, 4640/970 is
GCF of Numerators i.e. for 9208,4640 is 8
LCM of denominators i.e. for 104,970 is 50440.
Thus, GCF of Fractions is 8/50440.Finally, GCF of Fractions for 9208/104, 4640/970 is 8/50440.