GCF of 1224/768, 3005/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1224/768, 3005/107 i.e 1/82176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1224/768, 3005/107.
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 1224/768,3005/107?
Given fractions are 1224/768,3005/107
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 1224/768,3005/107, numerators are 1224,3005
Denominators are 768,107
The GCF of 1224,3005 is 1 .
LCM of 768,107 is 82176.
The greatest common factor of 1224/768,3005/107 = [GCF of 1224,3005]/[LCM of 768,107]= 1/82176
Therefore, the GCF of 1224/768,3005/107 is 1/82176.
To find the highest common factor of 1224,3005, we have to find the factors of both numbers and list the highest common factor.
The factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224
The factors of 3005 are 1, 5, 601, 3005
The HCF of 1224,3005 is 1.
Lets's calculate GCF of 1224,3005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1224,3005 By Matching Biggest Common Factor Method
Now, list down the factors of 1224
:1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224
Now, list down the factors of 3005
:1,5,601,3005
Greatest Common Factor
We found the factors 1224,3005 . The biggest common factor number is the GCF number.
So the greatest common factor 1224,3005 is 1.
Lets's calculate LCM of 768,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 82176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82176
Therefore, the GCF of Fractions 1224/768,3005/107 is 1/82176
Least Common Multiple of 768,107 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 768,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,107) x common factors =1 x 1 = 1
LCM(768,107) = ( 768 × 107 ) / 1
LCM(768,107) = 82176 / 1
LCM(768,107) = 82176
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FAQs on GCF of Fractions of 1224/768, 3005/107
1. What is the HCF of 1224,3005?
The HCF of 1224,3005 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 1224/768, 3005/107?
Answer: GCF of Numerators as per given numbers 1224/768, 3005/107 is
GCF of Numerators i.e. for 1224,3005 is 1
LCM of denominators i.e. for 768,107 is 82176.
Thus, GCF of Fractions is 1/82176.Finally, GCF of Fractions for 1224/768, 3005/107 is 1/82176.