GCF of 7023/491, 7341/5324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7023/491, 7341/5324 i.e 3/2614084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7023/491, 7341/5324.
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 7023/491,7341/5324?
Given fractions are 7023/491,7341/5324
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 7023/491,7341/5324, numerators are 7023,7341
Denominators are 491,5324
The GCF of 7023,7341 is 3 .
LCM of 491,5324 is 2614084.
The greatest common factor of 7023/491,7341/5324 = [GCF of 7023,7341]/[LCM of 491,5324]= 3/2614084
Therefore, the GCF of 7023/491,7341/5324 is 3/2614084.
To find the highest common factor of 7023,7341, we have to find the factors of both numbers and list the highest common factor.
The factors of 7023 are 1, 3, 2341, 7023
The factors of 7341 are 1, 3, 2447, 7341
The HCF of 7023,7341 is 3.
Lets's calculate GCF of 7023,7341
| 3 | 7023, 7341 |
| 2341, 2447 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7023,7341 By Matching Biggest Common Factor Method
Now, list down the factors of 7023
:1,3,2341,7023
Now, list down the factors of 7341
:1,3,2447,7341
Greatest Common Factor
We found the factors 7023,7341 . The biggest common factor number is the GCF number.
So the greatest common factor 7023,7341 is 3.
Lets's calculate LCM of 491,5324
Given numbers has no common factors except 1. So, there LCM is their product i.e 2614084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2614084
Therefore, the GCF of Fractions 7023/491,7341/5324 is 3/2614084
Least Common Multiple of 491,5324 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 491,5324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,5324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,5324) x common factors =1 x 1 = 1
LCM(491,5324) = ( 491 × 5324 ) / 1
LCM(491,5324) = 2614084 / 1
LCM(491,5324) = 2614084
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FAQs on GCF of Fractions of 7023/491, 7341/5324
1. What is the HCF of 7023,7341?
The HCF of 7023,7341 is 3
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 7023/491, 7341/5324?
Answer: GCF of Numerators as per given numbers 7023/491, 7341/5324 is
GCF of Numerators i.e. for 7023,7341 is 3
LCM of denominators i.e. for 491,5324 is 2614084.
Thus, GCF of Fractions is 3/2614084.Finally, GCF of Fractions for 7023/491, 7341/5324 is 3/2614084.