GCF of 9284/162, 4628/1956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9284/162, 4628/1956 i.e 4/52812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9284/162, 4628/1956.
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 9284/162,4628/1956?
Given fractions are 9284/162,4628/1956
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 9284/162,4628/1956, numerators are 9284,4628
Denominators are 162,1956
The GCF of 9284,4628 is 4 .
LCM of 162,1956 is 52812.
The greatest common factor of 9284/162,4628/1956 = [GCF of 9284,4628]/[LCM of 162,1956]= 4/52812
Therefore, the GCF of 9284/162,4628/1956 is 4/52812.
To find the highest common factor of 9284,4628, we have to find the factors of both numbers and list the highest common factor.
The factors of 9284 are 1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642, 9284
The factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628
The HCF of 9284,4628 is 4.
Lets's calculate GCF of 9284,4628
| 2 | 9284, 4628 |
| 2 | 4642, 2314 |
| 2321, 1157 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9284,4628 By Matching Biggest Common Factor Method
Now, list down the factors of 9284
:1,2,4,11,22,44,211,422,844,2321,4642,9284
Now, list down the factors of 4628
:1,2,4,13,26,52,89,178,356,1157,2314,4628
Greatest Common Factor
We found the factors 9284,4628 . The biggest common factor number is the GCF number.
So the greatest common factor 9284,4628 is 4.
Lets's calculate LCM of 162,1956
| 2 | 162, 1956 |
| 3 | 81, 978 |
| 27, 326 |
∴ So the LCM of the given numbers is 2 x 3 x 27 x 326 = 52812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/52812
Therefore, the GCF of Fractions 9284/162,4628/1956 is 4/52812
Least Common Multiple of 162,1956 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 162,1956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,1956) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(162,1956) x common factors =6 x 1 = 6
LCM(162,1956) = ( 162 × 1956 ) / 6
LCM(162,1956) = 316872 / 6
LCM(162,1956) = 52812
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FAQs on GCF of Fractions of 9284/162, 4628/1956
1. What is the HCF of 9284,4628?
The HCF of 9284,4628 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 9284/162, 4628/1956?
Answer: GCF of Numerators as per given numbers 9284/162, 4628/1956 is
GCF of Numerators i.e. for 9284,4628 is 4
LCM of denominators i.e. for 162,1956 is 52812.
Thus, GCF of Fractions is 4/52812.Finally, GCF of Fractions for 9284/162, 4628/1956 is 4/52812.