GCF of 4541/256, 6969/889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4541/256, 6969/889 i.e 1/227584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4541/256, 6969/889.
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 4541/256,6969/889?
Given fractions are 4541/256,6969/889
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 4541/256,6969/889, numerators are 4541,6969
Denominators are 256,889
The GCF of 4541,6969 is 1 .
LCM of 256,889 is 227584.
The greatest common factor of 4541/256,6969/889 = [GCF of 4541,6969]/[LCM of 256,889]= 1/227584
Therefore, the GCF of 4541/256,6969/889 is 1/227584.
To find the highest common factor of 4541,6969, we have to find the factors of both numbers and list the highest common factor.
The factors of 4541 are 1, 19, 239, 4541
The factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969
The HCF of 4541,6969 is 1.
Lets's calculate GCF of 4541,6969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4541,6969 By Matching Biggest Common Factor Method
Now, list down the factors of 4541
:1,19,239,4541
Now, list down the factors of 6969
:1,3,23,69,101,303,2323,6969
Greatest Common Factor
We found the factors 4541,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 4541,6969 is 1.
Lets's calculate LCM of 256,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 227584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227584
Therefore, the GCF of Fractions 4541/256,6969/889 is 1/227584
Least Common Multiple of 256,889 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 256,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,889) x common factors =1 x 1 = 1
LCM(256,889) = ( 256 × 889 ) / 1
LCM(256,889) = 227584 / 1
LCM(256,889) = 227584
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FAQs on GCF of Fractions of 4541/256, 6969/889
1. What is the HCF of 4541,6969?
The HCF of 4541,6969 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 4541/256, 6969/889?
Answer: GCF of Numerators as per given numbers 4541/256, 6969/889 is
GCF of Numerators i.e. for 4541,6969 is 1
LCM of denominators i.e. for 256,889 is 227584.
Thus, GCF of Fractions is 1/227584.Finally, GCF of Fractions for 4541/256, 6969/889 is 1/227584.