GCF of 3469/364, 5456/7589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3469/364, 5456/7589 i.e 1/2762396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3469/364, 5456/7589.
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 3469/364,5456/7589?
Given fractions are 3469/364,5456/7589
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 3469/364,5456/7589, numerators are 3469,5456
Denominators are 364,7589
The GCF of 3469,5456 is 1 .
LCM of 364,7589 is 2762396.
The greatest common factor of 3469/364,5456/7589 = [GCF of 3469,5456]/[LCM of 364,7589]= 1/2762396
Therefore, the GCF of 3469/364,5456/7589 is 1/2762396.
To find the highest common factor of 3469,5456, we have to find the factors of both numbers and list the highest common factor.
The factors of 3469 are 1, 3469
The factors of 5456 are 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456
The HCF of 3469,5456 is 1.
Lets's calculate GCF of 3469,5456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3469,5456 By Matching Biggest Common Factor Method
Now, list down the factors of 3469
:1,3469
Now, list down the factors of 5456
:1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456
Greatest Common Factor
We found the factors 3469,5456 . The biggest common factor number is the GCF number.
So the greatest common factor 3469,5456 is 1.
Lets's calculate LCM of 364,7589
Given numbers has no common factors except 1. So, there LCM is their product i.e 2762396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2762396
Therefore, the GCF of Fractions 3469/364,5456/7589 is 1/2762396
Least Common Multiple of 364,7589 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 364,7589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,7589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,7589) x common factors =1 x 1 = 1
LCM(364,7589) = ( 364 × 7589 ) / 1
LCM(364,7589) = 2762396 / 1
LCM(364,7589) = 2762396
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FAQs on GCF of Fractions of 3469/364, 5456/7589
1. What is the HCF of 3469,5456?
The HCF of 3469,5456 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 3469/364, 5456/7589?
Answer: GCF of Numerators as per given numbers 3469/364, 5456/7589 is
GCF of Numerators i.e. for 3469,5456 is 1
LCM of denominators i.e. for 364,7589 is 2762396.
Thus, GCF of Fractions is 1/2762396.Finally, GCF of Fractions for 3469/364, 5456/7589 is 1/2762396.