GCF of 9476/122, 3020/832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9476/122, 3020/832 i.e 4/50752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9476/122, 3020/832.
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 9476/122,3020/832?
Given fractions are 9476/122,3020/832
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 9476/122,3020/832, numerators are 9476,3020
Denominators are 122,832
The GCF of 9476,3020 is 4 .
LCM of 122,832 is 50752.
The greatest common factor of 9476/122,3020/832 = [GCF of 9476,3020]/[LCM of 122,832]= 4/50752
Therefore, the GCF of 9476/122,3020/832 is 4/50752.
To find the highest common factor of 9476,3020, we have to find the factors of both numbers and list the highest common factor.
The factors of 9476 are 1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738, 9476
The factors of 3020 are 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020
The HCF of 9476,3020 is 4.
Lets's calculate GCF of 9476,3020
| 2 | 9476, 3020 |
| 2 | 4738, 1510 |
| 2369, 755 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9476,3020 By Matching Biggest Common Factor Method
Now, list down the factors of 9476
:1,2,4,23,46,92,103,206,412,2369,4738,9476
Now, list down the factors of 3020
:1,2,4,5,10,20,151,302,604,755,1510,3020
Greatest Common Factor
We found the factors 9476,3020 . The biggest common factor number is the GCF number.
So the greatest common factor 9476,3020 is 4.
Lets's calculate LCM of 122,832
| 2 | 122, 832 |
| 61, 416 |
∴ So the LCM of the given numbers is 2 x 61 x 416 = 50752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50752
Therefore, the GCF of Fractions 9476/122,3020/832 is 4/50752
Least Common Multiple of 122,832 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 122,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,832) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,832) x common factors =2 x 1 = 2
LCM(122,832) = ( 122 × 832 ) / 2
LCM(122,832) = 101504 / 2
LCM(122,832) = 50752
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FAQs on GCF of Fractions of 9476/122, 3020/832
1. What is the HCF of 9476,3020?
The HCF of 9476,3020 is 4
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 9476/122, 3020/832?
Answer: GCF of Numerators as per given numbers 9476/122, 3020/832 is
GCF of Numerators i.e. for 9476,3020 is 4
LCM of denominators i.e. for 122,832 is 50752.
Thus, GCF of Fractions is 4/50752.Finally, GCF of Fractions for 9476/122, 3020/832 is 4/50752.