GCF of 4623/256, 4969/615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4623/256, 4969/615 i.e 1/157440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4623/256, 4969/615.
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 4623/256,4969/615?
Given fractions are 4623/256,4969/615
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 4623/256,4969/615, numerators are 4623,4969
Denominators are 256,615
The GCF of 4623,4969 is 1 .
LCM of 256,615 is 157440.
The greatest common factor of 4623/256,4969/615 = [GCF of 4623,4969]/[LCM of 256,615]= 1/157440
Therefore, the GCF of 4623/256,4969/615 is 1/157440.
To find the highest common factor of 4623,4969, we have to find the factors of both numbers and list the highest common factor.
The factors of 4623 are 1, 3, 23, 67, 69, 201, 1541, 4623
The factors of 4969 are 1, 4969
The HCF of 4623,4969 is 1.
Lets's calculate GCF of 4623,4969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4623,4969 By Matching Biggest Common Factor Method
Now, list down the factors of 4623
:1,3,23,67,69,201,1541,4623
Now, list down the factors of 4969
:1,4969
Greatest Common Factor
We found the factors 4623,4969 . The biggest common factor number is the GCF number.
So the greatest common factor 4623,4969 is 1.
Lets's calculate LCM of 256,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 157440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157440
Therefore, the GCF of Fractions 4623/256,4969/615 is 1/157440
Least Common Multiple of 256,615 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 256,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,615) x common factors =1 x 1 = 1
LCM(256,615) = ( 256 × 615 ) / 1
LCM(256,615) = 157440 / 1
LCM(256,615) = 157440
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FAQs on GCF of Fractions of 4623/256, 4969/615
1. What is the HCF of 4623,4969?
The HCF of 4623,4969 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 4623/256, 4969/615?
Answer: GCF of Numerators as per given numbers 4623/256, 4969/615 is
GCF of Numerators i.e. for 4623,4969 is 1
LCM of denominators i.e. for 256,615 is 157440.
Thus, GCF of Fractions is 1/157440.Finally, GCF of Fractions for 4623/256, 4969/615 is 1/157440.