GCF of 7269/284, 1679/2429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7269/284, 1679/2429 i.e 1/689836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7269/284, 1679/2429.
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 7269/284,1679/2429?
Given fractions are 7269/284,1679/2429
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 7269/284,1679/2429, numerators are 7269,1679
Denominators are 284,2429
The GCF of 7269,1679 is 1 .
LCM of 284,2429 is 689836.
The greatest common factor of 7269/284,1679/2429 = [GCF of 7269,1679]/[LCM of 284,2429]= 1/689836
Therefore, the GCF of 7269/284,1679/2429 is 1/689836.
To find the highest common factor of 7269,1679, we have to find the factors of both numbers and list the highest common factor.
The factors of 7269 are 1, 3, 2423, 7269
The factors of 1679 are 1, 23, 73, 1679
The HCF of 7269,1679 is 1.
Lets's calculate GCF of 7269,1679
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7269,1679 By Matching Biggest Common Factor Method
Now, list down the factors of 7269
:1,3,2423,7269
Now, list down the factors of 1679
:1,23,73,1679
Greatest Common Factor
We found the factors 7269,1679 . The biggest common factor number is the GCF number.
So the greatest common factor 7269,1679 is 1.
Lets's calculate LCM of 284,2429
Given numbers has no common factors except 1. So, there LCM is their product i.e 689836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/689836
Therefore, the GCF of Fractions 7269/284,1679/2429 is 1/689836
Least Common Multiple of 284,2429 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 284,2429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,2429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,2429) x common factors =1 x 1 = 1
LCM(284,2429) = ( 284 × 2429 ) / 1
LCM(284,2429) = 689836 / 1
LCM(284,2429) = 689836
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FAQs on GCF of Fractions of 7269/284, 1679/2429
1. What is the HCF of 7269,1679?
The HCF of 7269,1679 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 7269/284, 1679/2429?
Answer: GCF of Numerators as per given numbers 7269/284, 1679/2429 is
GCF of Numerators i.e. for 7269,1679 is 1
LCM of denominators i.e. for 284,2429 is 689836.
Thus, GCF of Fractions is 1/689836.Finally, GCF of Fractions for 7269/284, 1679/2429 is 1/689836.