GCF of 2744/669, 3667/9440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2744/669, 3667/9440 i.e 1/6315360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2744/669, 3667/9440.
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 2744/669,3667/9440?
Given fractions are 2744/669,3667/9440
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 2744/669,3667/9440, numerators are 2744,3667
Denominators are 669,9440
The GCF of 2744,3667 is 1 .
LCM of 669,9440 is 6315360.
The greatest common factor of 2744/669,3667/9440 = [GCF of 2744,3667]/[LCM of 669,9440]= 1/6315360
Therefore, the GCF of 2744/669,3667/9440 is 1/6315360.
To find the highest common factor of 2744,3667, we have to find the factors of both numbers and list the highest common factor.
The factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744
The factors of 3667 are 1, 19, 193, 3667
The HCF of 2744,3667 is 1.
Lets's calculate GCF of 2744,3667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2744,3667 By Matching Biggest Common Factor Method
Now, list down the factors of 2744
:1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744
Now, list down the factors of 3667
:1,19,193,3667
Greatest Common Factor
We found the factors 2744,3667 . The biggest common factor number is the GCF number.
So the greatest common factor 2744,3667 is 1.
Lets's calculate LCM of 669,9440
Given numbers has no common factors except 1. So, there LCM is their product i.e 6315360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6315360
Therefore, the GCF of Fractions 2744/669,3667/9440 is 1/6315360
Least Common Multiple of 669,9440 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 669,9440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,9440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,9440) x common factors =1 x 1 = 1
LCM(669,9440) = ( 669 × 9440 ) / 1
LCM(669,9440) = 6315360 / 1
LCM(669,9440) = 6315360
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2744/669, 3667/9440
1. What is the HCF of 2744,3667?
The HCF of 2744,3667 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 2744/669, 3667/9440?
Answer: GCF of Numerators as per given numbers 2744/669, 3667/9440 is
GCF of Numerators i.e. for 2744,3667 is 1
LCM of denominators i.e. for 669,9440 is 6315360.
Thus, GCF of Fractions is 1/6315360.Finally, GCF of Fractions for 2744/669, 3667/9440 is 1/6315360.