GCF of 7348/659, 6562/4022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7348/659, 6562/4022 i.e 2/2650498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7348/659, 6562/4022.
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 7348/659,6562/4022?
Given fractions are 7348/659,6562/4022
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 7348/659,6562/4022, numerators are 7348,6562
Denominators are 659,4022
The GCF of 7348,6562 is 2 .
LCM of 659,4022 is 2650498.
The greatest common factor of 7348/659,6562/4022 = [GCF of 7348,6562]/[LCM of 659,4022]= 2/2650498
Therefore, the GCF of 7348/659,6562/4022 is 2/2650498.
To find the highest common factor of 7348,6562, we have to find the factors of both numbers and list the highest common factor.
The factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348
The factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562
The HCF of 7348,6562 is 2.
Lets's calculate GCF of 7348,6562
| 2 | 7348, 6562 |
| 3674, 3281 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7348,6562 By Matching Biggest Common Factor Method
Now, list down the factors of 7348
:1,2,4,11,22,44,167,334,668,1837,3674,7348
Now, list down the factors of 6562
:1,2,17,34,193,386,3281,6562
Greatest Common Factor
We found the factors 7348,6562 . The biggest common factor number is the GCF number.
So the greatest common factor 7348,6562 is 2.
Lets's calculate LCM of 659,4022
Given numbers has no common factors except 1. So, there LCM is their product i.e 2650498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2650498
Therefore, the GCF of Fractions 7348/659,6562/4022 is 2/2650498
Least Common Multiple of 659,4022 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 659,4022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,4022) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,4022) x common factors =1 x 1 = 1
LCM(659,4022) = ( 659 × 4022 ) / 1
LCM(659,4022) = 2650498 / 1
LCM(659,4022) = 2650498
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FAQs on GCF of Fractions of 7348/659, 6562/4022
1. What is the HCF of 7348,6562?
The HCF of 7348,6562 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 7348/659, 6562/4022?
Answer: GCF of Numerators as per given numbers 7348/659, 6562/4022 is
GCF of Numerators i.e. for 7348,6562 is 2
LCM of denominators i.e. for 659,4022 is 2650498.
Thus, GCF of Fractions is 2/2650498.Finally, GCF of Fractions for 7348/659, 6562/4022 is 2/2650498.