GCF of 3577/298, 1989/3911
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3577/298, 1989/3911 i.e 1/1165478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3577/298, 1989/3911.
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 3577/298,1989/3911?
Given fractions are 3577/298,1989/3911
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 3577/298,1989/3911, numerators are 3577,1989
Denominators are 298,3911
The GCF of 3577,1989 is 1 .
LCM of 298,3911 is 1165478.
The greatest common factor of 3577/298,1989/3911 = [GCF of 3577,1989]/[LCM of 298,3911]= 1/1165478
Therefore, the GCF of 3577/298,1989/3911 is 1/1165478.
To find the highest common factor of 3577,1989, we have to find the factors of both numbers and list the highest common factor.
The factors of 3577 are 1, 7, 49, 73, 511, 3577
The factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989
The HCF of 3577,1989 is 1.
Lets's calculate GCF of 3577,1989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3577,1989 By Matching Biggest Common Factor Method
Now, list down the factors of 3577
:1,7,49,73,511,3577
Now, list down the factors of 1989
:1,3,9,13,17,39,51,117,153,221,663,1989
Greatest Common Factor
We found the factors 3577,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 3577,1989 is 1.
Lets's calculate LCM of 298,3911
Given numbers has no common factors except 1. So, there LCM is their product i.e 1165478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1165478
Therefore, the GCF of Fractions 3577/298,1989/3911 is 1/1165478
Least Common Multiple of 298,3911 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 298,3911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,3911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,3911) x common factors =1 x 1 = 1
LCM(298,3911) = ( 298 × 3911 ) / 1
LCM(298,3911) = 1165478 / 1
LCM(298,3911) = 1165478
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FAQs on GCF of Fractions of 3577/298, 1989/3911
1. What is the HCF of 3577,1989?
The HCF of 3577,1989 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 3577/298, 1989/3911?
Answer: GCF of Numerators as per given numbers 3577/298, 1989/3911 is
GCF of Numerators i.e. for 3577,1989 is 1
LCM of denominators i.e. for 298,3911 is 1165478.
Thus, GCF of Fractions is 1/1165478.Finally, GCF of Fractions for 3577/298, 1989/3911 is 1/1165478.