GCF of 2347/321, 7201/5582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2347/321, 7201/5582 i.e 1/1791822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2347/321, 7201/5582.
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 2347/321,7201/5582?
Given fractions are 2347/321,7201/5582
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 2347/321,7201/5582, numerators are 2347,7201
Denominators are 321,5582
The GCF of 2347,7201 is 1 .
LCM of 321,5582 is 1791822.
The greatest common factor of 2347/321,7201/5582 = [GCF of 2347,7201]/[LCM of 321,5582]= 1/1791822
Therefore, the GCF of 2347/321,7201/5582 is 1/1791822.
To find the highest common factor of 2347,7201, we have to find the factors of both numbers and list the highest common factor.
The factors of 2347 are 1, 2347
The factors of 7201 are 1, 19, 379, 7201
The HCF of 2347,7201 is 1.
Lets's calculate GCF of 2347,7201
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2347,7201 By Matching Biggest Common Factor Method
Now, list down the factors of 2347
:1,2347
Now, list down the factors of 7201
:1,19,379,7201
Greatest Common Factor
We found the factors 2347,7201 . The biggest common factor number is the GCF number.
So the greatest common factor 2347,7201 is 1.
Lets's calculate LCM of 321,5582
Given numbers has no common factors except 1. So, there LCM is their product i.e 1791822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1791822
Therefore, the GCF of Fractions 2347/321,7201/5582 is 1/1791822
Least Common Multiple of 321,5582 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 321,5582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,5582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,5582) x common factors =1 x 1 = 1
LCM(321,5582) = ( 321 × 5582 ) / 1
LCM(321,5582) = 1791822 / 1
LCM(321,5582) = 1791822
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FAQs on GCF of Fractions of 2347/321, 7201/5582
1. What is the HCF of 2347,7201?
The HCF of 2347,7201 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 2347/321, 7201/5582?
Answer: GCF of Numerators as per given numbers 2347/321, 7201/5582 is
GCF of Numerators i.e. for 2347,7201 is 1
LCM of denominators i.e. for 321,5582 is 1791822.
Thus, GCF of Fractions is 1/1791822.Finally, GCF of Fractions for 2347/321, 7201/5582 is 1/1791822.