GCF of 5306/257, 4703/283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5306/257, 4703/283 i.e 1/72731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5306/257, 4703/283.
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 5306/257,4703/283?
Given fractions are 5306/257,4703/283
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 5306/257,4703/283, numerators are 5306,4703
Denominators are 257,283
The GCF of 5306,4703 is 1 .
LCM of 257,283 is 72731.
The greatest common factor of 5306/257,4703/283 = [GCF of 5306,4703]/[LCM of 257,283]= 1/72731
Therefore, the GCF of 5306/257,4703/283 is 1/72731.
To find the highest common factor of 5306,4703, we have to find the factors of both numbers and list the highest common factor.
The factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306
The factors of 4703 are 1, 4703
The HCF of 5306,4703 is 1.
Lets's calculate GCF of 5306,4703
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5306,4703 By Matching Biggest Common Factor Method
Now, list down the factors of 5306
:1,2,7,14,379,758,2653,5306
Now, list down the factors of 4703
:1,4703
Greatest Common Factor
We found the factors 5306,4703 . The biggest common factor number is the GCF number.
So the greatest common factor 5306,4703 is 1.
Lets's calculate LCM of 257,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 72731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72731
Therefore, the GCF of Fractions 5306/257,4703/283 is 1/72731
Least Common Multiple of 257,283 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 257,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,283) x common factors =1 x 1 = 1
LCM(257,283) = ( 257 × 283 ) / 1
LCM(257,283) = 72731 / 1
LCM(257,283) = 72731
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FAQs on GCF of Fractions of 5306/257, 4703/283
1. What is the HCF of 5306,4703?
The HCF of 5306,4703 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 5306/257, 4703/283?
Answer: GCF of Numerators as per given numbers 5306/257, 4703/283 is
GCF of Numerators i.e. for 5306,4703 is 1
LCM of denominators i.e. for 257,283 is 72731.
Thus, GCF of Fractions is 1/72731.Finally, GCF of Fractions for 5306/257, 4703/283 is 1/72731.