GCF of 9205/156, 4406/5198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9205/156, 4406/5198 i.e 1/405444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9205/156, 4406/5198.
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 9205/156,4406/5198?
Given fractions are 9205/156,4406/5198
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 9205/156,4406/5198, numerators are 9205,4406
Denominators are 156,5198
The GCF of 9205,4406 is 1 .
LCM of 156,5198 is 405444.
The greatest common factor of 9205/156,4406/5198 = [GCF of 9205,4406]/[LCM of 156,5198]= 1/405444
Therefore, the GCF of 9205/156,4406/5198 is 1/405444.
To find the highest common factor of 9205,4406, we have to find the factors of both numbers and list the highest common factor.
The factors of 9205 are 1, 5, 7, 35, 263, 1315, 1841, 9205
The factors of 4406 are 1, 2, 2203, 4406
The HCF of 9205,4406 is 1.
Lets's calculate GCF of 9205,4406
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9205,4406 By Matching Biggest Common Factor Method
Now, list down the factors of 9205
:1,5,7,35,263,1315,1841,9205
Now, list down the factors of 4406
:1,2,2203,4406
Greatest Common Factor
We found the factors 9205,4406 . The biggest common factor number is the GCF number.
So the greatest common factor 9205,4406 is 1.
Lets's calculate LCM of 156,5198
| 2 | 156, 5198 |
| 78, 2599 |
∴ So the LCM of the given numbers is 2 x 78 x 2599 = 405444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405444
Therefore, the GCF of Fractions 9205/156,4406/5198 is 1/405444
Least Common Multiple of 156,5198 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 156,5198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,5198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(156,5198) x common factors =2 x 1 = 2
LCM(156,5198) = ( 156 × 5198 ) / 2
LCM(156,5198) = 810888 / 2
LCM(156,5198) = 405444
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FAQs on GCF of Fractions of 9205/156, 4406/5198
1. What is the HCF of 9205,4406?
The HCF of 9205,4406 is 1
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 9205/156, 4406/5198?
Answer: GCF of Numerators as per given numbers 9205/156, 4406/5198 is
GCF of Numerators i.e. for 9205,4406 is 1
LCM of denominators i.e. for 156,5198 is 405444.
Thus, GCF of Fractions is 1/405444.Finally, GCF of Fractions for 9205/156, 4406/5198 is 1/405444.