GCF of 3179/877, 1818/1975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3179/877, 1818/1975 i.e 1/1732075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3179/877, 1818/1975.
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 3179/877,1818/1975?
Given fractions are 3179/877,1818/1975
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 3179/877,1818/1975, numerators are 3179,1818
Denominators are 877,1975
The GCF of 3179,1818 is 1 .
LCM of 877,1975 is 1732075.
The greatest common factor of 3179/877,1818/1975 = [GCF of 3179,1818]/[LCM of 877,1975]= 1/1732075
Therefore, the GCF of 3179/877,1818/1975 is 1/1732075.
To find the highest common factor of 3179,1818, 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 1818 are 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818
The HCF of 3179,1818 is 1.
Lets's calculate GCF of 3179,1818
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3179,1818 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 1818
:1,2,3,6,9,18,101,202,303,606,909,1818
Greatest Common Factor
We found the factors 3179,1818 . The biggest common factor number is the GCF number.
So the greatest common factor 3179,1818 is 1.
Lets's calculate LCM of 877,1975
Given numbers has no common factors except 1. So, there LCM is their product i.e 1732075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1732075
Therefore, the GCF of Fractions 3179/877,1818/1975 is 1/1732075
Least Common Multiple of 877,1975 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 877,1975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,1975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,1975) x common factors =1 x 1 = 1
LCM(877,1975) = ( 877 × 1975 ) / 1
LCM(877,1975) = 1732075 / 1
LCM(877,1975) = 1732075
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FAQs on GCF of Fractions of 3179/877, 1818/1975
1. What is the HCF of 3179,1818?
The HCF of 3179,1818 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 3179/877, 1818/1975?
Answer: GCF of Numerators as per given numbers 3179/877, 1818/1975 is
GCF of Numerators i.e. for 3179,1818 is 1
LCM of denominators i.e. for 877,1975 is 1732075.
Thus, GCF of Fractions is 1/1732075.Finally, GCF of Fractions for 3179/877, 1818/1975 is 1/1732075.