GCF of 176/955, 4117/661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 176/955, 4117/661 i.e 1/631255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/955, 4117/661.
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 176/955,4117/661?
Given fractions are 176/955,4117/661
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 176/955,4117/661, numerators are 176,4117
Denominators are 955,661
The GCF of 176,4117 is 1 .
LCM of 955,661 is 631255.
The greatest common factor of 176/955,4117/661 = [GCF of 176,4117]/[LCM of 955,661]= 1/631255
Therefore, the GCF of 176/955,4117/661 is 1/631255.
To find the highest common factor of 176,4117, we have to find the factors of both numbers and list the highest common factor.
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The factors of 4117 are 1, 23, 179, 4117
The HCF of 176,4117 is 1.
Lets's calculate GCF of 176,4117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 176,4117 By Matching Biggest Common Factor Method
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 4117
:1,23,179,4117
Greatest Common Factor
We found the factors 176,4117 . The biggest common factor number is the GCF number.
So the greatest common factor 176,4117 is 1.
Lets's calculate LCM of 955,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 631255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/631255
Therefore, the GCF of Fractions 176/955,4117/661 is 1/631255
Least Common Multiple of 955,661 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 955,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,661) x common factors =1 x 1 = 1
LCM(955,661) = ( 955 × 661 ) / 1
LCM(955,661) = 631255 / 1
LCM(955,661) = 631255
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FAQs on GCF of Fractions of 176/955, 4117/661
1. What is the HCF of 176,4117?
The HCF of 176,4117 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 176/955, 4117/661?
Answer: GCF of Numerators as per given numbers 176/955, 4117/661 is
GCF of Numerators i.e. for 176,4117 is 1
LCM of denominators i.e. for 955,661 is 631255.
Thus, GCF of Fractions is 1/631255.Finally, GCF of Fractions for 176/955, 4117/661 is 1/631255.