GCF of 7307/143, 7642/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7307/143, 7642/821 i.e 1/117403 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7307/143, 7642/821.
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 7307/143,7642/821?
Given fractions are 7307/143,7642/821
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 7307/143,7642/821, numerators are 7307,7642
Denominators are 143,821
The GCF of 7307,7642 is 1 .
LCM of 143,821 is 117403.
The greatest common factor of 7307/143,7642/821 = [GCF of 7307,7642]/[LCM of 143,821]= 1/117403
Therefore, the GCF of 7307/143,7642/821 is 1/117403.
To find the highest common factor of 7307,7642, we have to find the factors of both numbers and list the highest common factor.
The factors of 7307 are 1, 7307
The factors of 7642 are 1, 2, 3821, 7642
The HCF of 7307,7642 is 1.
Lets's calculate GCF of 7307,7642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7307,7642 By Matching Biggest Common Factor Method
Now, list down the factors of 7307
:1,7307
Now, list down the factors of 7642
:1,2,3821,7642
Greatest Common Factor
We found the factors 7307,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 7307,7642 is 1.
Lets's calculate LCM of 143,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 117403
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117403
Therefore, the GCF of Fractions 7307/143,7642/821 is 1/117403
Least Common Multiple of 143,821 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 143,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,821) x common factors =1 x 1 = 1
LCM(143,821) = ( 143 × 821 ) / 1
LCM(143,821) = 117403 / 1
LCM(143,821) = 117403
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FAQs on GCF of Fractions of 7307/143, 7642/821
1. What is the HCF of 7307,7642?
The HCF of 7307,7642 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 7307/143, 7642/821?
Answer: GCF of Numerators as per given numbers 7307/143, 7642/821 is
GCF of Numerators i.e. for 7307,7642 is 1
LCM of denominators i.e. for 143,821 is 117403.
Thus, GCF of Fractions is 1/117403.Finally, GCF of Fractions for 7307/143, 7642/821 is 1/117403.