GCF of 9619/971, 9052/9284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9619/971, 9052/9284 i.e 1/9014764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9619/971, 9052/9284.
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 9619/971,9052/9284?
Given fractions are 9619/971,9052/9284
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 9619/971,9052/9284, numerators are 9619,9052
Denominators are 971,9284
The GCF of 9619,9052 is 1 .
LCM of 971,9284 is 9014764.
The greatest common factor of 9619/971,9052/9284 = [GCF of 9619,9052]/[LCM of 971,9284]= 1/9014764
Therefore, the GCF of 9619/971,9052/9284 is 1/9014764.
To find the highest common factor of 9619,9052, we have to find the factors of both numbers and list the highest common factor.
The factors of 9619 are 1, 9619
The factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052
The HCF of 9619,9052 is 1.
Lets's calculate GCF of 9619,9052
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9619,9052 By Matching Biggest Common Factor Method
Now, list down the factors of 9619
:1,9619
Now, list down the factors of 9052
:1,2,4,31,62,73,124,146,292,2263,4526,9052
Greatest Common Factor
We found the factors 9619,9052 . The biggest common factor number is the GCF number.
So the greatest common factor 9619,9052 is 1.
Lets's calculate LCM of 971,9284
Given numbers has no common factors except 1. So, there LCM is their product i.e 9014764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9014764
Therefore, the GCF of Fractions 9619/971,9052/9284 is 1/9014764
Least Common Multiple of 971,9284 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 971,9284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,9284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,9284) x common factors =1 x 1 = 1
LCM(971,9284) = ( 971 × 9284 ) / 1
LCM(971,9284) = 9014764 / 1
LCM(971,9284) = 9014764
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FAQs on GCF of Fractions of 9619/971, 9052/9284
1. What is the HCF of 9619,9052?
The HCF of 9619,9052 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 9619/971, 9052/9284?
Answer: GCF of Numerators as per given numbers 9619/971, 9052/9284 is
GCF of Numerators i.e. for 9619,9052 is 1
LCM of denominators i.e. for 971,9284 is 9014764.
Thus, GCF of Fractions is 1/9014764.Finally, GCF of Fractions for 9619/971, 9052/9284 is 1/9014764.