GCF of 6241/493, 4757/2280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6241/493, 4757/2280 i.e 1/1124040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6241/493, 4757/2280.
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 6241/493,4757/2280?
Given fractions are 6241/493,4757/2280
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 6241/493,4757/2280, numerators are 6241,4757
Denominators are 493,2280
The GCF of 6241,4757 is 1 .
LCM of 493,2280 is 1124040.
The greatest common factor of 6241/493,4757/2280 = [GCF of 6241,4757]/[LCM of 493,2280]= 1/1124040
Therefore, the GCF of 6241/493,4757/2280 is 1/1124040.
To find the highest common factor of 6241,4757, we have to find the factors of both numbers and list the highest common factor.
The factors of 6241 are 1, 79, 6241
The factors of 4757 are 1, 67, 71, 4757
The HCF of 6241,4757 is 1.
Lets's calculate GCF of 6241,4757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6241,4757 By Matching Biggest Common Factor Method
Now, list down the factors of 6241
:1,79,6241
Now, list down the factors of 4757
:1,67,71,4757
Greatest Common Factor
We found the factors 6241,4757 . The biggest common factor number is the GCF number.
So the greatest common factor 6241,4757 is 1.
Lets's calculate LCM of 493,2280
Given numbers has no common factors except 1. So, there LCM is their product i.e 1124040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1124040
Therefore, the GCF of Fractions 6241/493,4757/2280 is 1/1124040
Least Common Multiple of 493,2280 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 493,2280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,2280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,2280) x common factors =1 x 1 = 1
LCM(493,2280) = ( 493 × 2280 ) / 1
LCM(493,2280) = 1124040 / 1
LCM(493,2280) = 1124040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6241/493, 4757/2280
1. What is the HCF of 6241,4757?
The HCF of 6241,4757 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 6241/493, 4757/2280?
Answer: GCF of Numerators as per given numbers 6241/493, 4757/2280 is
GCF of Numerators i.e. for 6241,4757 is 1
LCM of denominators i.e. for 493,2280 is 1124040.
Thus, GCF of Fractions is 1/1124040.Finally, GCF of Fractions for 6241/493, 4757/2280 is 1/1124040.