GCF of 7393/685, 4449/1221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7393/685, 4449/1221 i.e 1/836385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7393/685, 4449/1221.
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 7393/685,4449/1221?
Given fractions are 7393/685,4449/1221
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 7393/685,4449/1221, numerators are 7393,4449
Denominators are 685,1221
The GCF of 7393,4449 is 1 .
LCM of 685,1221 is 836385.
The greatest common factor of 7393/685,4449/1221 = [GCF of 7393,4449]/[LCM of 685,1221]= 1/836385
Therefore, the GCF of 7393/685,4449/1221 is 1/836385.
To find the highest common factor of 7393,4449, we have to find the factors of both numbers and list the highest common factor.
The factors of 7393 are 1, 7393
The factors of 4449 are 1, 3, 1483, 4449
The HCF of 7393,4449 is 1.
Lets's calculate GCF of 7393,4449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7393,4449 By Matching Biggest Common Factor Method
Now, list down the factors of 7393
:1,7393
Now, list down the factors of 4449
:1,3,1483,4449
Greatest Common Factor
We found the factors 7393,4449 . The biggest common factor number is the GCF number.
So the greatest common factor 7393,4449 is 1.
Lets's calculate LCM of 685,1221
Given numbers has no common factors except 1. So, there LCM is their product i.e 836385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/836385
Therefore, the GCF of Fractions 7393/685,4449/1221 is 1/836385
Least Common Multiple of 685,1221 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 685,1221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,1221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,1221) x common factors =1 x 1 = 1
LCM(685,1221) = ( 685 × 1221 ) / 1
LCM(685,1221) = 836385 / 1
LCM(685,1221) = 836385
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FAQs on GCF of Fractions of 7393/685, 4449/1221
1. What is the HCF of 7393,4449?
The HCF of 7393,4449 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 7393/685, 4449/1221?
Answer: GCF of Numerators as per given numbers 7393/685, 4449/1221 is
GCF of Numerators i.e. for 7393,4449 is 1
LCM of denominators i.e. for 685,1221 is 836385.
Thus, GCF of Fractions is 1/836385.Finally, GCF of Fractions for 7393/685, 4449/1221 is 1/836385.