GCF of 7621/314, 2234/2461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7621/314, 2234/2461 i.e 1/772754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7621/314, 2234/2461.
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 7621/314,2234/2461?
Given fractions are 7621/314,2234/2461
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 7621/314,2234/2461, numerators are 7621,2234
Denominators are 314,2461
The GCF of 7621,2234 is 1 .
LCM of 314,2461 is 772754.
The greatest common factor of 7621/314,2234/2461 = [GCF of 7621,2234]/[LCM of 314,2461]= 1/772754
Therefore, the GCF of 7621/314,2234/2461 is 1/772754.
To find the highest common factor of 7621,2234, we have to find the factors of both numbers and list the highest common factor.
The factors of 7621 are 1, 7621
The factors of 2234 are 1, 2, 1117, 2234
The HCF of 7621,2234 is 1.
Lets's calculate GCF of 7621,2234
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7621,2234 By Matching Biggest Common Factor Method
Now, list down the factors of 7621
:1,7621
Now, list down the factors of 2234
:1,2,1117,2234
Greatest Common Factor
We found the factors 7621,2234 . The biggest common factor number is the GCF number.
So the greatest common factor 7621,2234 is 1.
Lets's calculate LCM of 314,2461
Given numbers has no common factors except 1. So, there LCM is their product i.e 772754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/772754
Therefore, the GCF of Fractions 7621/314,2234/2461 is 1/772754
Least Common Multiple of 314,2461 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 314,2461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,2461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,2461) x common factors =1 x 1 = 1
LCM(314,2461) = ( 314 × 2461 ) / 1
LCM(314,2461) = 772754 / 1
LCM(314,2461) = 772754
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FAQs on GCF of Fractions of 7621/314, 2234/2461
1. What is the HCF of 7621,2234?
The HCF of 7621,2234 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 7621/314, 2234/2461?
Answer: GCF of Numerators as per given numbers 7621/314, 2234/2461 is
GCF of Numerators i.e. for 7621,2234 is 1
LCM of denominators i.e. for 314,2461 is 772754.
Thus, GCF of Fractions is 1/772754.Finally, GCF of Fractions for 7621/314, 2234/2461 is 1/772754.