GCF of 7395/663, 4892/443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7395/663, 4892/443 i.e 1/293709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7395/663, 4892/443.
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 7395/663,4892/443?
Given fractions are 7395/663,4892/443
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 7395/663,4892/443, numerators are 7395,4892
Denominators are 663,443
The GCF of 7395,4892 is 1 .
LCM of 663,443 is 293709.
The greatest common factor of 7395/663,4892/443 = [GCF of 7395,4892]/[LCM of 663,443]= 1/293709
Therefore, the GCF of 7395/663,4892/443 is 1/293709.
To find the highest common factor of 7395,4892, we have to find the factors of both numbers and list the highest common factor.
The factors of 7395 are 1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465, 7395
The factors of 4892 are 1, 2, 4, 1223, 2446, 4892
The HCF of 7395,4892 is 1.
Lets's calculate GCF of 7395,4892
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7395,4892 By Matching Biggest Common Factor Method
Now, list down the factors of 7395
:1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395
Now, list down the factors of 4892
:1,2,4,1223,2446,4892
Greatest Common Factor
We found the factors 7395,4892 . The biggest common factor number is the GCF number.
So the greatest common factor 7395,4892 is 1.
Lets's calculate LCM of 663,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 293709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293709
Therefore, the GCF of Fractions 7395/663,4892/443 is 1/293709
Least Common Multiple of 663,443 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 663,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,443) x common factors =1 x 1 = 1
LCM(663,443) = ( 663 × 443 ) / 1
LCM(663,443) = 293709 / 1
LCM(663,443) = 293709
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FAQs on GCF of Fractions of 7395/663, 4892/443
1. What is the HCF of 7395,4892?
The HCF of 7395,4892 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 7395/663, 4892/443?
Answer: GCF of Numerators as per given numbers 7395/663, 4892/443 is
GCF of Numerators i.e. for 7395,4892 is 1
LCM of denominators i.e. for 663,443 is 293709.
Thus, GCF of Fractions is 1/293709.Finally, GCF of Fractions for 7395/663, 4892/443 is 1/293709.