GCF of 2989/523, 7222/8484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2989/523, 7222/8484 i.e 1/4437132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2989/523, 7222/8484.
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 2989/523,7222/8484?
Given fractions are 2989/523,7222/8484
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 2989/523,7222/8484, numerators are 2989,7222
Denominators are 523,8484
The GCF of 2989,7222 is 1 .
LCM of 523,8484 is 4437132.
The greatest common factor of 2989/523,7222/8484 = [GCF of 2989,7222]/[LCM of 523,8484]= 1/4437132
Therefore, the GCF of 2989/523,7222/8484 is 1/4437132.
To find the highest common factor of 2989,7222, we have to find the factors of both numbers and list the highest common factor.
The factors of 2989 are 1, 7, 49, 61, 427, 2989
The factors of 7222 are 1, 2, 23, 46, 157, 314, 3611, 7222
The HCF of 2989,7222 is 1.
Lets's calculate GCF of 2989,7222
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2989,7222 By Matching Biggest Common Factor Method
Now, list down the factors of 2989
:1,7,49,61,427,2989
Now, list down the factors of 7222
:1,2,23,46,157,314,3611,7222
Greatest Common Factor
We found the factors 2989,7222 . The biggest common factor number is the GCF number.
So the greatest common factor 2989,7222 is 1.
Lets's calculate LCM of 523,8484
Given numbers has no common factors except 1. So, there LCM is their product i.e 4437132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4437132
Therefore, the GCF of Fractions 2989/523,7222/8484 is 1/4437132
Least Common Multiple of 523,8484 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 523,8484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,8484) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,8484) x common factors =1 x 1 = 1
LCM(523,8484) = ( 523 × 8484 ) / 1
LCM(523,8484) = 4437132 / 1
LCM(523,8484) = 4437132
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FAQs on GCF of Fractions of 2989/523, 7222/8484
1. What is the HCF of 2989,7222?
The HCF of 2989,7222 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 2989/523, 7222/8484?
Answer: GCF of Numerators as per given numbers 2989/523, 7222/8484 is
GCF of Numerators i.e. for 2989,7222 is 1
LCM of denominators i.e. for 523,8484 is 4437132.
Thus, GCF of Fractions is 1/4437132.Finally, GCF of Fractions for 2989/523, 7222/8484 is 1/4437132.