GCF of 9440/744, 9205/9103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9440/744, 9205/9103 i.e 5/6772632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9440/744, 9205/9103.
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 9440/744,9205/9103?
Given fractions are 9440/744,9205/9103
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 9440/744,9205/9103, numerators are 9440,9205
Denominators are 744,9103
The GCF of 9440,9205 is 5 .
LCM of 744,9103 is 6772632.
The greatest common factor of 9440/744,9205/9103 = [GCF of 9440,9205]/[LCM of 744,9103]= 5/6772632
Therefore, the GCF of 9440/744,9205/9103 is 5/6772632.
To find the highest common factor of 9440,9205, we have to find the factors of both numbers and list the highest common factor.
The factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440
The factors of 9205 are 1, 5, 7, 35, 263, 1315, 1841, 9205
The HCF of 9440,9205 is 5.
Lets's calculate GCF of 9440,9205
| 5 | 9440, 9205 |
| 1888, 1841 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9440,9205 By Matching Biggest Common Factor Method
Now, list down the factors of 9440
:1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440
Now, list down the factors of 9205
:1,5,7,35,263,1315,1841,9205
Greatest Common Factor
We found the factors 9440,9205 . The biggest common factor number is the GCF number.
So the greatest common factor 9440,9205 is 5.
Lets's calculate LCM of 744,9103
Given numbers has no common factors except 1. So, there LCM is their product i.e 6772632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6772632
Therefore, the GCF of Fractions 9440/744,9205/9103 is 5/6772632
Least Common Multiple of 744,9103 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 744,9103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,9103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(744,9103) x common factors =1 x 1 = 1
LCM(744,9103) = ( 744 × 9103 ) / 1
LCM(744,9103) = 6772632 / 1
LCM(744,9103) = 6772632
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FAQs on GCF of Fractions of 9440/744, 9205/9103
1. What is the HCF of 9440,9205?
The HCF of 9440,9205 is 5
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 9440/744, 9205/9103?
Answer: GCF of Numerators as per given numbers 9440/744, 9205/9103 is
GCF of Numerators i.e. for 9440,9205 is 5
LCM of denominators i.e. for 744,9103 is 6772632.
Thus, GCF of Fractions is 5/6772632.Finally, GCF of Fractions for 9440/744, 9205/9103 is 5/6772632.