GCF of 296/635, 667/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 296/635, 667/384 i.e 1/243840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 296/635, 667/384.
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 296/635,667/384?
Given fractions are 296/635,667/384
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 296/635,667/384, numerators are 296,667
Denominators are 635,384
The GCF of 296,667 is 1 .
LCM of 635,384 is 243840.
The greatest common factor of 296/635,667/384 = [GCF of 296,667]/[LCM of 635,384]= 1/243840
Therefore, the GCF of 296/635,667/384 is 1/243840.
To find the highest common factor of 296,667, we have to find the factors of both numbers and list the highest common factor.
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The factors of 667 are 1, 23, 29, 667
The HCF of 296,667 is 1.
Lets's calculate GCF of 296,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 296,667 By Matching Biggest Common Factor Method
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Now, list down the factors of 667
:1,23,29,667
Greatest Common Factor
We found the factors 296,667 . The biggest common factor number is the GCF number.
So the greatest common factor 296,667 is 1.
Lets's calculate LCM of 635,384
Given numbers has no common factors except 1. So, there LCM is their product i.e 243840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243840
Therefore, the GCF of Fractions 296/635,667/384 is 1/243840
Least Common Multiple of 635,384 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 635,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,384) x common factors =1 x 1 = 1
LCM(635,384) = ( 635 × 384 ) / 1
LCM(635,384) = 243840 / 1
LCM(635,384) = 243840
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FAQs on GCF of Fractions of 296/635, 667/384
1. What is the HCF of 296,667?
The HCF of 296,667 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 296/635, 667/384?
Answer: GCF of Numerators as per given numbers 296/635, 667/384 is
GCF of Numerators i.e. for 296,667 is 1
LCM of denominators i.e. for 635,384 is 243840.
Thus, GCF of Fractions is 1/243840.Finally, GCF of Fractions for 296/635, 667/384 is 1/243840.