GCF of 7933/542, 9747/4195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7933/542, 9747/4195 i.e 1/2273690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7933/542, 9747/4195.
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 7933/542,9747/4195?
Given fractions are 7933/542,9747/4195
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 7933/542,9747/4195, numerators are 7933,9747
Denominators are 542,4195
The GCF of 7933,9747 is 1 .
LCM of 542,4195 is 2273690.
The greatest common factor of 7933/542,9747/4195 = [GCF of 7933,9747]/[LCM of 542,4195]= 1/2273690
Therefore, the GCF of 7933/542,9747/4195 is 1/2273690.
To find the highest common factor of 7933,9747, we have to find the factors of both numbers and list the highest common factor.
The factors of 7933 are 1, 7933
The factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747
The HCF of 7933,9747 is 1.
Lets's calculate GCF of 7933,9747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7933,9747 By Matching Biggest Common Factor Method
Now, list down the factors of 7933
:1,7933
Now, list down the factors of 9747
:1,3,9,19,27,57,171,361,513,1083,3249,9747
Greatest Common Factor
We found the factors 7933,9747 . The biggest common factor number is the GCF number.
So the greatest common factor 7933,9747 is 1.
Lets's calculate LCM of 542,4195
Given numbers has no common factors except 1. So, there LCM is their product i.e 2273690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2273690
Therefore, the GCF of Fractions 7933/542,9747/4195 is 1/2273690
Least Common Multiple of 542,4195 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 542,4195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,4195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,4195) x common factors =1 x 1 = 1
LCM(542,4195) = ( 542 × 4195 ) / 1
LCM(542,4195) = 2273690 / 1
LCM(542,4195) = 2273690
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FAQs on GCF of Fractions of 7933/542, 9747/4195
1. What is the HCF of 7933,9747?
The HCF of 7933,9747 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 7933/542, 9747/4195?
Answer: GCF of Numerators as per given numbers 7933/542, 9747/4195 is
GCF of Numerators i.e. for 7933,9747 is 1
LCM of denominators i.e. for 542,4195 is 2273690.
Thus, GCF of Fractions is 1/2273690.Finally, GCF of Fractions for 7933/542, 9747/4195 is 1/2273690.