GCF of 122/397, 695/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 122/397, 695/672 i.e 1/266784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 122/397, 695/672.
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 122/397,695/672?
Given fractions are 122/397,695/672
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 122/397,695/672, numerators are 122,695
Denominators are 397,672
The GCF of 122,695 is 1 .
LCM of 397,672 is 266784.
The greatest common factor of 122/397,695/672 = [GCF of 122,695]/[LCM of 397,672]= 1/266784
Therefore, the GCF of 122/397,695/672 is 1/266784.
To find the highest common factor of 122,695, we have to find the factors of both numbers and list the highest common factor.
The factors of 122 are 1, 2, 61, 122
The factors of 695 are 1, 5, 139, 695
The HCF of 122,695 is 1.
Lets's calculate GCF of 122,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 122,695 By Matching Biggest Common Factor Method
Now, list down the factors of 122
:1,2,61,122
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 122,695 . The biggest common factor number is the GCF number.
So the greatest common factor 122,695 is 1.
Lets's calculate LCM of 397,672
Given numbers has no common factors except 1. So, there LCM is their product i.e 266784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266784
Therefore, the GCF of Fractions 122/397,695/672 is 1/266784
Least Common Multiple of 397,672 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 397,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,672) x common factors =1 x 1 = 1
LCM(397,672) = ( 397 × 672 ) / 1
LCM(397,672) = 266784 / 1
LCM(397,672) = 266784
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FAQs on GCF of Fractions of 122/397, 695/672
1. What is the HCF of 122,695?
The HCF of 122,695 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 122/397, 695/672?
Answer: GCF of Numerators as per given numbers 122/397, 695/672 is
GCF of Numerators i.e. for 122,695 is 1
LCM of denominators i.e. for 397,672 is 266784.
Thus, GCF of Fractions is 1/266784.Finally, GCF of Fractions for 122/397, 695/672 is 1/266784.