GCF of 8725/293, 1442/1423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8725/293, 1442/1423 i.e 1/416939 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8725/293, 1442/1423.
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 8725/293,1442/1423?
Given fractions are 8725/293,1442/1423
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 8725/293,1442/1423, numerators are 8725,1442
Denominators are 293,1423
The GCF of 8725,1442 is 1 .
LCM of 293,1423 is 416939.
The greatest common factor of 8725/293,1442/1423 = [GCF of 8725,1442]/[LCM of 293,1423]= 1/416939
Therefore, the GCF of 8725/293,1442/1423 is 1/416939.
To find the highest common factor of 8725,1442, we have to find the factors of both numbers and list the highest common factor.
The factors of 8725 are 1, 5, 25, 349, 1745, 8725
The factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442
The HCF of 8725,1442 is 1.
Lets's calculate GCF of 8725,1442
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8725,1442 By Matching Biggest Common Factor Method
Now, list down the factors of 8725
:1,5,25,349,1745,8725
Now, list down the factors of 1442
:1,2,7,14,103,206,721,1442
Greatest Common Factor
We found the factors 8725,1442 . The biggest common factor number is the GCF number.
So the greatest common factor 8725,1442 is 1.
Lets's calculate LCM of 293,1423
Given numbers has no common factors except 1. So, there LCM is their product i.e 416939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416939
Therefore, the GCF of Fractions 8725/293,1442/1423 is 1/416939
Least Common Multiple of 293,1423 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 293,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,1423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,1423) x common factors =1 x 1 = 1
LCM(293,1423) = ( 293 × 1423 ) / 1
LCM(293,1423) = 416939 / 1
LCM(293,1423) = 416939
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FAQs on GCF of Fractions of 8725/293, 1442/1423
1. What is the HCF of 8725,1442?
The HCF of 8725,1442 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 8725/293, 1442/1423?
Answer: GCF of Numerators as per given numbers 8725/293, 1442/1423 is
GCF of Numerators i.e. for 8725,1442 is 1
LCM of denominators i.e. for 293,1423 is 416939.
Thus, GCF of Fractions is 1/416939.Finally, GCF of Fractions for 8725/293, 1442/1423 is 1/416939.