GCF of 7089/974, 7298/485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7089/974, 7298/485 i.e 1/472390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7089/974, 7298/485.
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 7089/974,7298/485?
Given fractions are 7089/974,7298/485
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 7089/974,7298/485, numerators are 7089,7298
Denominators are 974,485
The GCF of 7089,7298 is 1 .
LCM of 974,485 is 472390.
The greatest common factor of 7089/974,7298/485 = [GCF of 7089,7298]/[LCM of 974,485]= 1/472390
Therefore, the GCF of 7089/974,7298/485 is 1/472390.
To find the highest common factor of 7089,7298, we have to find the factors of both numbers and list the highest common factor.
The factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089
The factors of 7298 are 1, 2, 41, 82, 89, 178, 3649, 7298
The HCF of 7089,7298 is 1.
Lets's calculate GCF of 7089,7298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7089,7298 By Matching Biggest Common Factor Method
Now, list down the factors of 7089
:1,3,17,51,139,417,2363,7089
Now, list down the factors of 7298
:1,2,41,82,89,178,3649,7298
Greatest Common Factor
We found the factors 7089,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 7089,7298 is 1.
Lets's calculate LCM of 974,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 472390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472390
Therefore, the GCF of Fractions 7089/974,7298/485 is 1/472390
Least Common Multiple of 974,485 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 974,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,485) x common factors =1 x 1 = 1
LCM(974,485) = ( 974 × 485 ) / 1
LCM(974,485) = 472390 / 1
LCM(974,485) = 472390
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FAQs on GCF of Fractions of 7089/974, 7298/485
1. What is the HCF of 7089,7298?
The HCF of 7089,7298 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 7089/974, 7298/485?
Answer: GCF of Numerators as per given numbers 7089/974, 7298/485 is
GCF of Numerators i.e. for 7089,7298 is 1
LCM of denominators i.e. for 974,485 is 472390.
Thus, GCF of Fractions is 1/472390.Finally, GCF of Fractions for 7089/974, 7298/485 is 1/472390.