GCF of 7833/457, 6416/2102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7833/457, 6416/2102 i.e 1/960614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7833/457, 6416/2102.
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 7833/457,6416/2102?
Given fractions are 7833/457,6416/2102
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 7833/457,6416/2102, numerators are 7833,6416
Denominators are 457,2102
The GCF of 7833,6416 is 1 .
LCM of 457,2102 is 960614.
The greatest common factor of 7833/457,6416/2102 = [GCF of 7833,6416]/[LCM of 457,2102]= 1/960614
Therefore, the GCF of 7833/457,6416/2102 is 1/960614.
To find the highest common factor of 7833,6416, we have to find the factors of both numbers and list the highest common factor.
The factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833
The factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416
The HCF of 7833,6416 is 1.
Lets's calculate GCF of 7833,6416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7833,6416 By Matching Biggest Common Factor Method
Now, list down the factors of 7833
:1,3,7,21,373,1119,2611,7833
Now, list down the factors of 6416
:1,2,4,8,16,401,802,1604,3208,6416
Greatest Common Factor
We found the factors 7833,6416 . The biggest common factor number is the GCF number.
So the greatest common factor 7833,6416 is 1.
Lets's calculate LCM of 457,2102
Given numbers has no common factors except 1. So, there LCM is their product i.e 960614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960614
Therefore, the GCF of Fractions 7833/457,6416/2102 is 1/960614
Least Common Multiple of 457,2102 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 457,2102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,2102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,2102) x common factors =1 x 1 = 1
LCM(457,2102) = ( 457 × 2102 ) / 1
LCM(457,2102) = 960614 / 1
LCM(457,2102) = 960614
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FAQs on GCF of Fractions of 7833/457, 6416/2102
1. What is the HCF of 7833,6416?
The HCF of 7833,6416 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 7833/457, 6416/2102?
Answer: GCF of Numerators as per given numbers 7833/457, 6416/2102 is
GCF of Numerators i.e. for 7833,6416 is 1
LCM of denominators i.e. for 457,2102 is 960614.
Thus, GCF of Fractions is 1/960614.Finally, GCF of Fractions for 7833/457, 6416/2102 is 1/960614.