GCF of 1996/657, 7267/8330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1996/657, 7267/8330 i.e 1/5472810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1996/657, 7267/8330.
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 1996/657,7267/8330?
Given fractions are 1996/657,7267/8330
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 1996/657,7267/8330, numerators are 1996,7267
Denominators are 657,8330
The GCF of 1996,7267 is 1 .
LCM of 657,8330 is 5472810.
The greatest common factor of 1996/657,7267/8330 = [GCF of 1996,7267]/[LCM of 657,8330]= 1/5472810
Therefore, the GCF of 1996/657,7267/8330 is 1/5472810.
To find the highest common factor of 1996,7267, we have to find the factors of both numbers and list the highest common factor.
The factors of 1996 are 1, 2, 4, 499, 998, 1996
The factors of 7267 are 1, 13, 43, 169, 559, 7267
The HCF of 1996,7267 is 1.
Lets's calculate GCF of 1996,7267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1996,7267 By Matching Biggest Common Factor Method
Now, list down the factors of 1996
:1,2,4,499,998,1996
Now, list down the factors of 7267
:1,13,43,169,559,7267
Greatest Common Factor
We found the factors 1996,7267 . The biggest common factor number is the GCF number.
So the greatest common factor 1996,7267 is 1.
Lets's calculate LCM of 657,8330
Given numbers has no common factors except 1. So, there LCM is their product i.e 5472810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5472810
Therefore, the GCF of Fractions 1996/657,7267/8330 is 1/5472810
Least Common Multiple of 657,8330 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 657,8330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,8330) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,8330) x common factors =1 x 1 = 1
LCM(657,8330) = ( 657 × 8330 ) / 1
LCM(657,8330) = 5472810 / 1
LCM(657,8330) = 5472810
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FAQs on GCF of Fractions of 1996/657, 7267/8330
1. What is the HCF of 1996,7267?
The HCF of 1996,7267 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 1996/657, 7267/8330?
Answer: GCF of Numerators as per given numbers 1996/657, 7267/8330 is
GCF of Numerators i.e. for 1996,7267 is 1
LCM of denominators i.e. for 657,8330 is 5472810.
Thus, GCF of Fractions is 1/5472810.Finally, GCF of Fractions for 1996/657, 7267/8330 is 1/5472810.