GCF of 7106/664, 9871/1695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7106/664, 9871/1695 i.e 1/1125480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7106/664, 9871/1695.
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 7106/664,9871/1695?
Given fractions are 7106/664,9871/1695
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 7106/664,9871/1695, numerators are 7106,9871
Denominators are 664,1695
The GCF of 7106,9871 is 1 .
LCM of 664,1695 is 1125480.
The greatest common factor of 7106/664,9871/1695 = [GCF of 7106,9871]/[LCM of 664,1695]= 1/1125480
Therefore, the GCF of 7106/664,9871/1695 is 1/1125480.
To find the highest common factor of 7106,9871, we have to find the factors of both numbers and list the highest common factor.
The factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106
The factors of 9871 are 1, 9871
The HCF of 7106,9871 is 1.
Lets's calculate GCF of 7106,9871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7106,9871 By Matching Biggest Common Factor Method
Now, list down the factors of 7106
:1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106
Now, list down the factors of 9871
:1,9871
Greatest Common Factor
We found the factors 7106,9871 . The biggest common factor number is the GCF number.
So the greatest common factor 7106,9871 is 1.
Lets's calculate LCM of 664,1695
Given numbers has no common factors except 1. So, there LCM is their product i.e 1125480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1125480
Therefore, the GCF of Fractions 7106/664,9871/1695 is 1/1125480
Least Common Multiple of 664,1695 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 664,1695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,1695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,1695) x common factors =1 x 1 = 1
LCM(664,1695) = ( 664 × 1695 ) / 1
LCM(664,1695) = 1125480 / 1
LCM(664,1695) = 1125480
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FAQs on GCF of Fractions of 7106/664, 9871/1695
1. What is the HCF of 7106,9871?
The HCF of 7106,9871 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 7106/664, 9871/1695?
Answer: GCF of Numerators as per given numbers 7106/664, 9871/1695 is
GCF of Numerators i.e. for 7106,9871 is 1
LCM of denominators i.e. for 664,1695 is 1125480.
Thus, GCF of Fractions is 1/1125480.Finally, GCF of Fractions for 7106/664, 9871/1695 is 1/1125480.