GCF of 9603/30, 5456/347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9603/30, 5456/347 i.e 11/10410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9603/30, 5456/347.
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 9603/30,5456/347?
Given fractions are 9603/30,5456/347
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 9603/30,5456/347, numerators are 9603,5456
Denominators are 30,347
The GCF of 9603,5456 is 11 .
LCM of 30,347 is 10410.
The greatest common factor of 9603/30,5456/347 = [GCF of 9603,5456]/[LCM of 30,347]= 11/10410
Therefore, the GCF of 9603/30,5456/347 is 11/10410.
To find the highest common factor of 9603,5456, we have to find the factors of both numbers and list the highest common factor.
The factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603
The factors of 5456 are 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456
The HCF of 9603,5456 is 11.
Lets's calculate GCF of 9603,5456
| 11 | 9603, 5456 |
| 873, 496 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9603,5456 By Matching Biggest Common Factor Method
Now, list down the factors of 9603
:1,3,9,11,33,97,99,291,873,1067,3201,9603
Now, list down the factors of 5456
:1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456
Greatest Common Factor
We found the factors 9603,5456 . The biggest common factor number is the GCF number.
So the greatest common factor 9603,5456 is 11.
Lets's calculate LCM of 30,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 10410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/10410
Therefore, the GCF of Fractions 9603/30,5456/347 is 11/10410
Least Common Multiple of 30,347 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 30,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,347) x common factors =1 x 1 = 1
LCM(30,347) = ( 30 × 347 ) / 1
LCM(30,347) = 10410 / 1
LCM(30,347) = 10410
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FAQs on GCF of Fractions of 9603/30, 5456/347
1. What is the HCF of 9603,5456?
The HCF of 9603,5456 is 11
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 9603/30, 5456/347?
Answer: GCF of Numerators as per given numbers 9603/30, 5456/347 is
GCF of Numerators i.e. for 9603,5456 is 11
LCM of denominators i.e. for 30,347 is 10410.
Thus, GCF of Fractions is 11/10410.Finally, GCF of Fractions for 9603/30, 5456/347 is 11/10410.