GCF of 3179/873, 4170/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3179/873, 4170/322 i.e 1/281106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3179/873, 4170/322.
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 3179/873,4170/322?
Given fractions are 3179/873,4170/322
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 3179/873,4170/322, numerators are 3179,4170
Denominators are 873,322
The GCF of 3179,4170 is 1 .
LCM of 873,322 is 281106.
The greatest common factor of 3179/873,4170/322 = [GCF of 3179,4170]/[LCM of 873,322]= 1/281106
Therefore, the GCF of 3179/873,4170/322 is 1/281106.
To find the highest common factor of 3179,4170, we have to find the factors of both numbers and list the highest common factor.
The factors of 3179 are 1, 11, 17, 187, 289, 3179
The factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170
The HCF of 3179,4170 is 1.
Lets's calculate GCF of 3179,4170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3179,4170 By Matching Biggest Common Factor Method
Now, list down the factors of 3179
:1,11,17,187,289,3179
Now, list down the factors of 4170
:1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Greatest Common Factor
We found the factors 3179,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 3179,4170 is 1.
Lets's calculate LCM of 873,322
Given numbers has no common factors except 1. So, there LCM is their product i.e 281106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281106
Therefore, the GCF of Fractions 3179/873,4170/322 is 1/281106
Least Common Multiple of 873,322 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 873,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,322) x common factors =1 x 1 = 1
LCM(873,322) = ( 873 × 322 ) / 1
LCM(873,322) = 281106 / 1
LCM(873,322) = 281106
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FAQs on GCF of Fractions of 3179/873, 4170/322
1. What is the HCF of 3179,4170?
The HCF of 3179,4170 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 3179/873, 4170/322?
Answer: GCF of Numerators as per given numbers 3179/873, 4170/322 is
GCF of Numerators i.e. for 3179,4170 is 1
LCM of denominators i.e. for 873,322 is 281106.
Thus, GCF of Fractions is 1/281106.Finally, GCF of Fractions for 3179/873, 4170/322 is 1/281106.