GCF of 3447/677, 1114/3066
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3447/677, 1114/3066 i.e 1/2075682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3447/677, 1114/3066.
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 3447/677,1114/3066?
Given fractions are 3447/677,1114/3066
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 3447/677,1114/3066, numerators are 3447,1114
Denominators are 677,3066
The GCF of 3447,1114 is 1 .
LCM of 677,3066 is 2075682.
The greatest common factor of 3447/677,1114/3066 = [GCF of 3447,1114]/[LCM of 677,3066]= 1/2075682
Therefore, the GCF of 3447/677,1114/3066 is 1/2075682.
To find the highest common factor of 3447,1114, we have to find the factors of both numbers and list the highest common factor.
The factors of 3447 are 1, 3, 9, 383, 1149, 3447
The factors of 1114 are 1, 2, 557, 1114
The HCF of 3447,1114 is 1.
Lets's calculate GCF of 3447,1114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3447,1114 By Matching Biggest Common Factor Method
Now, list down the factors of 3447
:1,3,9,383,1149,3447
Now, list down the factors of 1114
:1,2,557,1114
Greatest Common Factor
We found the factors 3447,1114 . The biggest common factor number is the GCF number.
So the greatest common factor 3447,1114 is 1.
Lets's calculate LCM of 677,3066
Given numbers has no common factors except 1. So, there LCM is their product i.e 2075682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2075682
Therefore, the GCF of Fractions 3447/677,1114/3066 is 1/2075682
Least Common Multiple of 677,3066 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 677,3066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,3066) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,3066) x common factors =1 x 1 = 1
LCM(677,3066) = ( 677 × 3066 ) / 1
LCM(677,3066) = 2075682 / 1
LCM(677,3066) = 2075682
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3447/677, 1114/3066
1. What is the HCF of 3447,1114?
The HCF of 3447,1114 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 3447/677, 1114/3066?
Answer: GCF of Numerators as per given numbers 3447/677, 1114/3066 is
GCF of Numerators i.e. for 3447,1114 is 1
LCM of denominators i.e. for 677,3066 is 2075682.
Thus, GCF of Fractions is 1/2075682.Finally, GCF of Fractions for 3447/677, 1114/3066 is 1/2075682.