GCF of 5944/692, 3285/9215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5944/692, 3285/9215 i.e 1/6376780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5944/692, 3285/9215.
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 5944/692,3285/9215?
Given fractions are 5944/692,3285/9215
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 5944/692,3285/9215, numerators are 5944,3285
Denominators are 692,9215
The GCF of 5944,3285 is 1 .
LCM of 692,9215 is 6376780.
The greatest common factor of 5944/692,3285/9215 = [GCF of 5944,3285]/[LCM of 692,9215]= 1/6376780
Therefore, the GCF of 5944/692,3285/9215 is 1/6376780.
To find the highest common factor of 5944,3285, we have to find the factors of both numbers and list the highest common factor.
The factors of 5944 are 1, 2, 4, 8, 743, 1486, 2972, 5944
The factors of 3285 are 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285
The HCF of 5944,3285 is 1.
Lets's calculate GCF of 5944,3285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5944,3285 By Matching Biggest Common Factor Method
Now, list down the factors of 5944
:1,2,4,8,743,1486,2972,5944
Now, list down the factors of 3285
:1,3,5,9,15,45,73,219,365,657,1095,3285
Greatest Common Factor
We found the factors 5944,3285 . The biggest common factor number is the GCF number.
So the greatest common factor 5944,3285 is 1.
Lets's calculate LCM of 692,9215
Given numbers has no common factors except 1. So, there LCM is their product i.e 6376780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6376780
Therefore, the GCF of Fractions 5944/692,3285/9215 is 1/6376780
Least Common Multiple of 692,9215 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 692,9215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,9215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,9215) x common factors =1 x 1 = 1
LCM(692,9215) = ( 692 × 9215 ) / 1
LCM(692,9215) = 6376780 / 1
LCM(692,9215) = 6376780
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FAQs on GCF of Fractions of 5944/692, 3285/9215
1. What is the HCF of 5944,3285?
The HCF of 5944,3285 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 5944/692, 3285/9215?
Answer: GCF of Numerators as per given numbers 5944/692, 3285/9215 is
GCF of Numerators i.e. for 5944,3285 is 1
LCM of denominators i.e. for 692,9215 is 6376780.
Thus, GCF of Fractions is 1/6376780.Finally, GCF of Fractions for 5944/692, 3285/9215 is 1/6376780.