GCF of 962/955, 417/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 962/955, 417/962 i.e 1/918710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/955, 417/962.
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 962/955,417/962?
Given fractions are 962/955,417/962
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 962/955,417/962, numerators are 962,417
Denominators are 955,962
The GCF of 962,417 is 1 .
LCM of 955,962 is 918710.
The greatest common factor of 962/955,417/962 = [GCF of 962,417]/[LCM of 955,962]= 1/918710
Therefore, the GCF of 962/955,417/962 is 1/918710.
To find the highest common factor of 962,417, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 417 are 1, 3, 139, 417
The HCF of 962,417 is 1.
Lets's calculate GCF of 962,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 962,417 By Matching Biggest Common Factor Method
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 962,417 . The biggest common factor number is the GCF number.
So the greatest common factor 962,417 is 1.
Lets's calculate LCM of 955,962
Given numbers has no common factors except 1. So, there LCM is their product i.e 918710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/918710
Therefore, the GCF of Fractions 962/955,417/962 is 1/918710
Least Common Multiple of 955,962 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 955,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,962) x common factors =1 x 1 = 1
LCM(955,962) = ( 955 × 962 ) / 1
LCM(955,962) = 918710 / 1
LCM(955,962) = 918710
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FAQs on GCF of Fractions of 962/955, 417/962
1. What is the HCF of 962,417?
The HCF of 962,417 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 962/955, 417/962?
Answer: GCF of Numerators as per given numbers 962/955, 417/962 is
GCF of Numerators i.e. for 962,417 is 1
LCM of denominators i.e. for 955,962 is 918710.
Thus, GCF of Fractions is 1/918710.Finally, GCF of Fractions for 962/955, 417/962 is 1/918710.