GCF of 3467/298, 4022/4049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3467/298, 4022/4049 i.e 1/1206602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3467/298, 4022/4049.
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 3467/298,4022/4049?
Given fractions are 3467/298,4022/4049
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 3467/298,4022/4049, numerators are 3467,4022
Denominators are 298,4049
The GCF of 3467,4022 is 1 .
LCM of 298,4049 is 1206602.
The greatest common factor of 3467/298,4022/4049 = [GCF of 3467,4022]/[LCM of 298,4049]= 1/1206602
Therefore, the GCF of 3467/298,4022/4049 is 1/1206602.
To find the highest common factor of 3467,4022, we have to find the factors of both numbers and list the highest common factor.
The factors of 3467 are 1, 3467
The factors of 4022 are 1, 2, 2011, 4022
The HCF of 3467,4022 is 1.
Lets's calculate GCF of 3467,4022
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3467,4022 By Matching Biggest Common Factor Method
Now, list down the factors of 3467
:1,3467
Now, list down the factors of 4022
:1,2,2011,4022
Greatest Common Factor
We found the factors 3467,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 3467,4022 is 1.
Lets's calculate LCM of 298,4049
Given numbers has no common factors except 1. So, there LCM is their product i.e 1206602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1206602
Therefore, the GCF of Fractions 3467/298,4022/4049 is 1/1206602
Least Common Multiple of 298,4049 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 298,4049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,4049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,4049) x common factors =1 x 1 = 1
LCM(298,4049) = ( 298 × 4049 ) / 1
LCM(298,4049) = 1206602 / 1
LCM(298,4049) = 1206602
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FAQs on GCF of Fractions of 3467/298, 4022/4049
1. What is the HCF of 3467,4022?
The HCF of 3467,4022 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 3467/298, 4022/4049?
Answer: GCF of Numerators as per given numbers 3467/298, 4022/4049 is
GCF of Numerators i.e. for 3467,4022 is 1
LCM of denominators i.e. for 298,4049 is 1206602.
Thus, GCF of Fractions is 1/1206602.Finally, GCF of Fractions for 3467/298, 4022/4049 is 1/1206602.