GCF of 172/886, 347/453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 172/886, 347/453 i.e 1/401358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 172/886, 347/453.
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 172/886,347/453?
Given fractions are 172/886,347/453
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 172/886,347/453, numerators are 172,347
Denominators are 886,453
The GCF of 172,347 is 1 .
LCM of 886,453 is 401358.
The greatest common factor of 172/886,347/453 = [GCF of 172,347]/[LCM of 886,453]= 1/401358
Therefore, the GCF of 172/886,347/453 is 1/401358.
To find the highest common factor of 172,347, we have to find the factors of both numbers and list the highest common factor.
The factors of 172 are 1, 2, 4, 43, 86, 172
The factors of 347 are 1, 347
The HCF of 172,347 is 1.
Lets's calculate GCF of 172,347
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 172,347 By Matching Biggest Common Factor Method
Now, list down the factors of 172
:1,2,4,43,86,172
Now, list down the factors of 347
:1,347
Greatest Common Factor
We found the factors 172,347 . The biggest common factor number is the GCF number.
So the greatest common factor 172,347 is 1.
Lets's calculate LCM of 886,453
Given numbers has no common factors except 1. So, there LCM is their product i.e 401358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401358
Therefore, the GCF of Fractions 172/886,347/453 is 1/401358
Least Common Multiple of 886,453 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 886,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(886,453) x common factors =1 x 1 = 1
LCM(886,453) = ( 886 × 453 ) / 1
LCM(886,453) = 401358 / 1
LCM(886,453) = 401358
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FAQs on GCF of Fractions of 172/886, 347/453
1. What is the HCF of 172,347?
The HCF of 172,347 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 172/886, 347/453?
Answer: GCF of Numerators as per given numbers 172/886, 347/453 is
GCF of Numerators i.e. for 172,347 is 1
LCM of denominators i.e. for 886,453 is 401358.
Thus, GCF of Fractions is 1/401358.Finally, GCF of Fractions for 172/886, 347/453 is 1/401358.