GCF of 7398/664, 1382/5665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7398/664, 1382/5665 i.e 2/3761560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7398/664, 1382/5665.
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 7398/664,1382/5665?
Given fractions are 7398/664,1382/5665
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 7398/664,1382/5665, numerators are 7398,1382
Denominators are 664,5665
The GCF of 7398,1382 is 2 .
LCM of 664,5665 is 3761560.
The greatest common factor of 7398/664,1382/5665 = [GCF of 7398,1382]/[LCM of 664,5665]= 2/3761560
Therefore, the GCF of 7398/664,1382/5665 is 2/3761560.
To find the highest common factor of 7398,1382, we have to find the factors of both numbers and list the highest common factor.
The factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398
The factors of 1382 are 1, 2, 691, 1382
The HCF of 7398,1382 is 2.
Lets's calculate GCF of 7398,1382
| 2 | 7398, 1382 |
| 3699, 691 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7398,1382 By Matching Biggest Common Factor Method
Now, list down the factors of 7398
:1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398
Now, list down the factors of 1382
:1,2,691,1382
Greatest Common Factor
We found the factors 7398,1382 . The biggest common factor number is the GCF number.
So the greatest common factor 7398,1382 is 2.
Lets's calculate LCM of 664,5665
Given numbers has no common factors except 1. So, there LCM is their product i.e 3761560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3761560
Therefore, the GCF of Fractions 7398/664,1382/5665 is 2/3761560
Least Common Multiple of 664,5665 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 664,5665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,5665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,5665) x common factors =1 x 1 = 1
LCM(664,5665) = ( 664 × 5665 ) / 1
LCM(664,5665) = 3761560 / 1
LCM(664,5665) = 3761560
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FAQs on GCF of Fractions of 7398/664, 1382/5665
1. What is the HCF of 7398,1382?
The HCF of 7398,1382 is 2
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 7398/664, 1382/5665?
Answer: GCF of Numerators as per given numbers 7398/664, 1382/5665 is
GCF of Numerators i.e. for 7398,1382 is 2
LCM of denominators i.e. for 664,5665 is 3761560.
Thus, GCF of Fractions is 2/3761560.Finally, GCF of Fractions for 7398/664, 1382/5665 is 2/3761560.