GCF of 9448/964, 7007/171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9448/964, 7007/171 i.e 1/164844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9448/964, 7007/171.
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 9448/964,7007/171?
Given fractions are 9448/964,7007/171
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 9448/964,7007/171, numerators are 9448,7007
Denominators are 964,171
The GCF of 9448,7007 is 1 .
LCM of 964,171 is 164844.
The greatest common factor of 9448/964,7007/171 = [GCF of 9448,7007]/[LCM of 964,171]= 1/164844
Therefore, the GCF of 9448/964,7007/171 is 1/164844.
To find the highest common factor of 9448,7007, we have to find the factors of both numbers and list the highest common factor.
The factors of 9448 are 1, 2, 4, 8, 1181, 2362, 4724, 9448
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007
The HCF of 9448,7007 is 1.
Lets's calculate GCF of 9448,7007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9448,7007 By Matching Biggest Common Factor Method
Now, list down the factors of 9448
:1,2,4,8,1181,2362,4724,9448
Now, list down the factors of 7007
:1,7,11,13,49,77,91,143,539,637,1001,7007
Greatest Common Factor
We found the factors 9448,7007 . The biggest common factor number is the GCF number.
So the greatest common factor 9448,7007 is 1.
Lets's calculate LCM of 964,171
Given numbers has no common factors except 1. So, there LCM is their product i.e 164844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164844
Therefore, the GCF of Fractions 9448/964,7007/171 is 1/164844
Least Common Multiple of 964,171 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 964,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,171) x common factors =1 x 1 = 1
LCM(964,171) = ( 964 × 171 ) / 1
LCM(964,171) = 164844 / 1
LCM(964,171) = 164844
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FAQs on GCF of Fractions of 9448/964, 7007/171
1. What is the HCF of 9448,7007?
The HCF of 9448,7007 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 9448/964, 7007/171?
Answer: GCF of Numerators as per given numbers 9448/964, 7007/171 is
GCF of Numerators i.e. for 9448,7007 is 1
LCM of denominators i.e. for 964,171 is 164844.
Thus, GCF of Fractions is 1/164844.Finally, GCF of Fractions for 9448/964, 7007/171 is 1/164844.