GCF of 9347/106, 5489/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9347/106, 5489/435 i.e 1/46110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9347/106, 5489/435.
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 9347/106,5489/435?
Given fractions are 9347/106,5489/435
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 9347/106,5489/435, numerators are 9347,5489
Denominators are 106,435
The GCF of 9347,5489 is 1 .
LCM of 106,435 is 46110.
The greatest common factor of 9347/106,5489/435 = [GCF of 9347,5489]/[LCM of 106,435]= 1/46110
Therefore, the GCF of 9347/106,5489/435 is 1/46110.
To find the highest common factor of 9347,5489, we have to find the factors of both numbers and list the highest common factor.
The factors of 9347 are 1, 13, 719, 9347
The factors of 5489 are 1, 11, 499, 5489
The HCF of 9347,5489 is 1.
Lets's calculate GCF of 9347,5489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9347,5489 By Matching Biggest Common Factor Method
Now, list down the factors of 9347
:1,13,719,9347
Now, list down the factors of 5489
:1,11,499,5489
Greatest Common Factor
We found the factors 9347,5489 . The biggest common factor number is the GCF number.
So the greatest common factor 9347,5489 is 1.
Lets's calculate LCM of 106,435
Given numbers has no common factors except 1. So, there LCM is their product i.e 46110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46110
Therefore, the GCF of Fractions 9347/106,5489/435 is 1/46110
Least Common Multiple of 106,435 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 106,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,435) x common factors =1 x 1 = 1
LCM(106,435) = ( 106 × 435 ) / 1
LCM(106,435) = 46110 / 1
LCM(106,435) = 46110
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FAQs on GCF of Fractions of 9347/106, 5489/435
1. What is the HCF of 9347,5489?
The HCF of 9347,5489 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 9347/106, 5489/435?
Answer: GCF of Numerators as per given numbers 9347/106, 5489/435 is
GCF of Numerators i.e. for 9347,5489 is 1
LCM of denominators i.e. for 106,435 is 46110.
Thus, GCF of Fractions is 1/46110.Finally, GCF of Fractions for 9347/106, 5489/435 is 1/46110.