GCF of 7321/152, 9598/5779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7321/152, 9598/5779 i.e 1/878408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7321/152, 9598/5779.
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 7321/152,9598/5779?
Given fractions are 7321/152,9598/5779
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 7321/152,9598/5779, numerators are 7321,9598
Denominators are 152,5779
The GCF of 7321,9598 is 1 .
LCM of 152,5779 is 878408.
The greatest common factor of 7321/152,9598/5779 = [GCF of 7321,9598]/[LCM of 152,5779]= 1/878408
Therefore, the GCF of 7321/152,9598/5779 is 1/878408.
To find the highest common factor of 7321,9598, we have to find the factors of both numbers and list the highest common factor.
The factors of 7321 are 1, 7321
The factors of 9598 are 1, 2, 4799, 9598
The HCF of 7321,9598 is 1.
Lets's calculate GCF of 7321,9598
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7321,9598 By Matching Biggest Common Factor Method
Now, list down the factors of 7321
:1,7321
Now, list down the factors of 9598
:1,2,4799,9598
Greatest Common Factor
We found the factors 7321,9598 . The biggest common factor number is the GCF number.
So the greatest common factor 7321,9598 is 1.
Lets's calculate LCM of 152,5779
Given numbers has no common factors except 1. So, there LCM is their product i.e 878408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/878408
Therefore, the GCF of Fractions 7321/152,9598/5779 is 1/878408
Least Common Multiple of 152,5779 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 152,5779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,5779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,5779) x common factors =1 x 1 = 1
LCM(152,5779) = ( 152 × 5779 ) / 1
LCM(152,5779) = 878408 / 1
LCM(152,5779) = 878408
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FAQs on GCF of Fractions of 7321/152, 9598/5779
1. What is the HCF of 7321,9598?
The HCF of 7321,9598 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 7321/152, 9598/5779?
Answer: GCF of Numerators as per given numbers 7321/152, 9598/5779 is
GCF of Numerators i.e. for 7321,9598 is 1
LCM of denominators i.e. for 152,5779 is 878408.
Thus, GCF of Fractions is 1/878408.Finally, GCF of Fractions for 7321/152, 9598/5779 is 1/878408.