GCF of 2467/971, 7071/6645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2467/971, 7071/6645 i.e 1/6452295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2467/971, 7071/6645.
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 2467/971,7071/6645?
Given fractions are 2467/971,7071/6645
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 2467/971,7071/6645, numerators are 2467,7071
Denominators are 971,6645
The GCF of 2467,7071 is 1 .
LCM of 971,6645 is 6452295.
The greatest common factor of 2467/971,7071/6645 = [GCF of 2467,7071]/[LCM of 971,6645]= 1/6452295
Therefore, the GCF of 2467/971,7071/6645 is 1/6452295.
To find the highest common factor of 2467,7071, we have to find the factors of both numbers and list the highest common factor.
The factors of 2467 are 1, 2467
The factors of 7071 are 1, 3, 2357, 7071
The HCF of 2467,7071 is 1.
Lets's calculate GCF of 2467,7071
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2467,7071 By Matching Biggest Common Factor Method
Now, list down the factors of 2467
:1,2467
Now, list down the factors of 7071
:1,3,2357,7071
Greatest Common Factor
We found the factors 2467,7071 . The biggest common factor number is the GCF number.
So the greatest common factor 2467,7071 is 1.
Lets's calculate LCM of 971,6645
Given numbers has no common factors except 1. So, there LCM is their product i.e 6452295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6452295
Therefore, the GCF of Fractions 2467/971,7071/6645 is 1/6452295
Least Common Multiple of 971,6645 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 971,6645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,6645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,6645) x common factors =1 x 1 = 1
LCM(971,6645) = ( 971 × 6645 ) / 1
LCM(971,6645) = 6452295 / 1
LCM(971,6645) = 6452295
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FAQs on GCF of Fractions of 2467/971, 7071/6645
1. What is the HCF of 2467,7071?
The HCF of 2467,7071 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 2467/971, 7071/6645?
Answer: GCF of Numerators as per given numbers 2467/971, 7071/6645 is
GCF of Numerators i.e. for 2467,7071 is 1
LCM of denominators i.e. for 971,6645 is 6452295.
Thus, GCF of Fractions is 1/6452295.Finally, GCF of Fractions for 2467/971, 7071/6645 is 1/6452295.