GCF of 5321/145, 7546/5997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5321/145, 7546/5997 i.e 1/869565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5321/145, 7546/5997.
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 5321/145,7546/5997?
Given fractions are 5321/145,7546/5997
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 5321/145,7546/5997, numerators are 5321,7546
Denominators are 145,5997
The GCF of 5321,7546 is 1 .
LCM of 145,5997 is 869565.
The greatest common factor of 5321/145,7546/5997 = [GCF of 5321,7546]/[LCM of 145,5997]= 1/869565
Therefore, the GCF of 5321/145,7546/5997 is 1/869565.
To find the highest common factor of 5321,7546, we have to find the factors of both numbers and list the highest common factor.
The factors of 5321 are 1, 17, 313, 5321
The factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546
The HCF of 5321,7546 is 1.
Lets's calculate GCF of 5321,7546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5321,7546 By Matching Biggest Common Factor Method
Now, list down the factors of 5321
:1,17,313,5321
Now, list down the factors of 7546
:1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546
Greatest Common Factor
We found the factors 5321,7546 . The biggest common factor number is the GCF number.
So the greatest common factor 5321,7546 is 1.
Lets's calculate LCM of 145,5997
Given numbers has no common factors except 1. So, there LCM is their product i.e 869565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/869565
Therefore, the GCF of Fractions 5321/145,7546/5997 is 1/869565
Least Common Multiple of 145,5997 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 145,5997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,5997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,5997) x common factors =1 x 1 = 1
LCM(145,5997) = ( 145 × 5997 ) / 1
LCM(145,5997) = 869565 / 1
LCM(145,5997) = 869565
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FAQs on GCF of Fractions of 5321/145, 7546/5997
1. What is the HCF of 5321,7546?
The HCF of 5321,7546 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 5321/145, 7546/5997?
Answer: GCF of Numerators as per given numbers 5321/145, 7546/5997 is
GCF of Numerators i.e. for 5321,7546 is 1
LCM of denominators i.e. for 145,5997 is 869565.
Thus, GCF of Fractions is 1/869565.Finally, GCF of Fractions for 5321/145, 7546/5997 is 1/869565.