GCF of 9470/825, 1104/4943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9470/825, 1104/4943 i.e 2/4077975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9470/825, 1104/4943.
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 9470/825,1104/4943?
Given fractions are 9470/825,1104/4943
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 9470/825,1104/4943, numerators are 9470,1104
Denominators are 825,4943
The GCF of 9470,1104 is 2 .
LCM of 825,4943 is 4077975.
The greatest common factor of 9470/825,1104/4943 = [GCF of 9470,1104]/[LCM of 825,4943]= 2/4077975
Therefore, the GCF of 9470/825,1104/4943 is 2/4077975.
To find the highest common factor of 9470,1104, we have to find the factors of both numbers and list the highest common factor.
The factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470
The factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104
The HCF of 9470,1104 is 2.
Lets's calculate GCF of 9470,1104
| 2 | 9470, 1104 |
| 4735, 552 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9470,1104 By Matching Biggest Common Factor Method
Now, list down the factors of 9470
:1,2,5,10,947,1894,4735,9470
Now, list down the factors of 1104
:1,2,3,4,6,8,12,16,23,24,46,48,69,92,138,184,276,368,552,1104
Greatest Common Factor
We found the factors 9470,1104 . The biggest common factor number is the GCF number.
So the greatest common factor 9470,1104 is 2.
Lets's calculate LCM of 825,4943
Given numbers has no common factors except 1. So, there LCM is their product i.e 4077975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4077975
Therefore, the GCF of Fractions 9470/825,1104/4943 is 2/4077975
Least Common Multiple of 825,4943 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 825,4943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,4943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,4943) x common factors =1 x 1 = 1
LCM(825,4943) = ( 825 × 4943 ) / 1
LCM(825,4943) = 4077975 / 1
LCM(825,4943) = 4077975
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FAQs on GCF of Fractions of 9470/825, 1104/4943
1. What is the HCF of 9470,1104?
The HCF of 9470,1104 is 2
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 9470/825, 1104/4943?
Answer: GCF of Numerators as per given numbers 9470/825, 1104/4943 is
GCF of Numerators i.e. for 9470,1104 is 2
LCM of denominators i.e. for 825,4943 is 4077975.
Thus, GCF of Fractions is 2/4077975.Finally, GCF of Fractions for 9470/825, 1104/4943 is 2/4077975.