GCF of 4733/278, 6257/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4733/278, 6257/461 i.e 1/128158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4733/278, 6257/461.
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 4733/278,6257/461?
Given fractions are 4733/278,6257/461
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 4733/278,6257/461, numerators are 4733,6257
Denominators are 278,461
The GCF of 4733,6257 is 1 .
LCM of 278,461 is 128158.
The greatest common factor of 4733/278,6257/461 = [GCF of 4733,6257]/[LCM of 278,461]= 1/128158
Therefore, the GCF of 4733/278,6257/461 is 1/128158.
To find the highest common factor of 4733,6257, we have to find the factors of both numbers and list the highest common factor.
The factors of 4733 are 1, 4733
The factors of 6257 are 1, 6257
The HCF of 4733,6257 is 1.
Lets's calculate GCF of 4733,6257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4733,6257 By Matching Biggest Common Factor Method
Now, list down the factors of 4733
:1,4733
Now, list down the factors of 6257
:1,6257
Greatest Common Factor
We found the factors 4733,6257 . The biggest common factor number is the GCF number.
So the greatest common factor 4733,6257 is 1.
Lets's calculate LCM of 278,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 128158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128158
Therefore, the GCF of Fractions 4733/278,6257/461 is 1/128158
Least Common Multiple of 278,461 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 278,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,461) x common factors =1 x 1 = 1
LCM(278,461) = ( 278 × 461 ) / 1
LCM(278,461) = 128158 / 1
LCM(278,461) = 128158
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FAQs on GCF of Fractions of 4733/278, 6257/461
1. What is the HCF of 4733,6257?
The HCF of 4733,6257 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 4733/278, 6257/461?
Answer: GCF of Numerators as per given numbers 4733/278, 6257/461 is
GCF of Numerators i.e. for 4733,6257 is 1
LCM of denominators i.e. for 278,461 is 128158.
Thus, GCF of Fractions is 1/128158.Finally, GCF of Fractions for 4733/278, 6257/461 is 1/128158.