GCF of 9203/861, 5283/7547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9203/861, 5283/7547 i.e 1/6497967 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9203/861, 5283/7547.
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 9203/861,5283/7547?
Given fractions are 9203/861,5283/7547
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 9203/861,5283/7547, numerators are 9203,5283
Denominators are 861,7547
The GCF of 9203,5283 is 1 .
LCM of 861,7547 is 6497967.
The greatest common factor of 9203/861,5283/7547 = [GCF of 9203,5283]/[LCM of 861,7547]= 1/6497967
Therefore, the GCF of 9203/861,5283/7547 is 1/6497967.
To find the highest common factor of 9203,5283, we have to find the factors of both numbers and list the highest common factor.
The factors of 9203 are 1, 9203
The factors of 5283 are 1, 3, 9, 587, 1761, 5283
The HCF of 9203,5283 is 1.
Lets's calculate GCF of 9203,5283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9203,5283 By Matching Biggest Common Factor Method
Now, list down the factors of 9203
:1,9203
Now, list down the factors of 5283
:1,3,9,587,1761,5283
Greatest Common Factor
We found the factors 9203,5283 . The biggest common factor number is the GCF number.
So the greatest common factor 9203,5283 is 1.
Lets's calculate LCM of 861,7547
Given numbers has no common factors except 1. So, there LCM is their product i.e 6497967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6497967
Therefore, the GCF of Fractions 9203/861,5283/7547 is 1/6497967
Least Common Multiple of 861,7547 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 861,7547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,7547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,7547) x common factors =1 x 1 = 1
LCM(861,7547) = ( 861 × 7547 ) / 1
LCM(861,7547) = 6497967 / 1
LCM(861,7547) = 6497967
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FAQs on GCF of Fractions of 9203/861, 5283/7547
1. What is the HCF of 9203,5283?
The HCF of 9203,5283 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 9203/861, 5283/7547?
Answer: GCF of Numerators as per given numbers 9203/861, 5283/7547 is
GCF of Numerators i.e. for 9203,5283 is 1
LCM of denominators i.e. for 861,7547 is 6497967.
Thus, GCF of Fractions is 1/6497967.Finally, GCF of Fractions for 9203/861, 5283/7547 is 1/6497967.