GCF of 6257/757, 9832/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6257/757, 9832/206 i.e 1/155942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6257/757, 9832/206.
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 6257/757,9832/206?
Given fractions are 6257/757,9832/206
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 6257/757,9832/206, numerators are 6257,9832
Denominators are 757,206
The GCF of 6257,9832 is 1 .
LCM of 757,206 is 155942.
The greatest common factor of 6257/757,9832/206 = [GCF of 6257,9832]/[LCM of 757,206]= 1/155942
Therefore, the GCF of 6257/757,9832/206 is 1/155942.
To find the highest common factor of 6257,9832, we have to find the factors of both numbers and list the highest common factor.
The factors of 6257 are 1, 6257
The factors of 9832 are 1, 2, 4, 8, 1229, 2458, 4916, 9832
The HCF of 6257,9832 is 1.
Lets's calculate GCF of 6257,9832
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6257,9832 By Matching Biggest Common Factor Method
Now, list down the factors of 6257
:1,6257
Now, list down the factors of 9832
:1,2,4,8,1229,2458,4916,9832
Greatest Common Factor
We found the factors 6257,9832 . The biggest common factor number is the GCF number.
So the greatest common factor 6257,9832 is 1.
Lets's calculate LCM of 757,206
Given numbers has no common factors except 1. So, there LCM is their product i.e 155942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155942
Therefore, the GCF of Fractions 6257/757,9832/206 is 1/155942
Least Common Multiple of 757,206 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 757,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,206) x common factors =1 x 1 = 1
LCM(757,206) = ( 757 × 206 ) / 1
LCM(757,206) = 155942 / 1
LCM(757,206) = 155942
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6257/757, 9832/206
1. What is the HCF of 6257,9832?
The HCF of 6257,9832 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 6257/757, 9832/206?
Answer: GCF of Numerators as per given numbers 6257/757, 9832/206 is
GCF of Numerators i.e. for 6257,9832 is 1
LCM of denominators i.e. for 757,206 is 155942.
Thus, GCF of Fractions is 1/155942.Finally, GCF of Fractions for 6257/757, 9832/206 is 1/155942.