GCF of 6217/835, 8257/8554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6217/835, 8257/8554 i.e 1/7142590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6217/835, 8257/8554.
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 6217/835,8257/8554?
Given fractions are 6217/835,8257/8554
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 6217/835,8257/8554, numerators are 6217,8257
Denominators are 835,8554
The GCF of 6217,8257 is 1 .
LCM of 835,8554 is 7142590.
The greatest common factor of 6217/835,8257/8554 = [GCF of 6217,8257]/[LCM of 835,8554]= 1/7142590
Therefore, the GCF of 6217/835,8257/8554 is 1/7142590.
To find the highest common factor of 6217,8257, we have to find the factors of both numbers and list the highest common factor.
The factors of 6217 are 1, 6217
The factors of 8257 are 1, 23, 359, 8257
The HCF of 6217,8257 is 1.
Lets's calculate GCF of 6217,8257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6217,8257 By Matching Biggest Common Factor Method
Now, list down the factors of 6217
:1,6217
Now, list down the factors of 8257
:1,23,359,8257
Greatest Common Factor
We found the factors 6217,8257 . The biggest common factor number is the GCF number.
So the greatest common factor 6217,8257 is 1.
Lets's calculate LCM of 835,8554
Given numbers has no common factors except 1. So, there LCM is their product i.e 7142590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7142590
Therefore, the GCF of Fractions 6217/835,8257/8554 is 1/7142590
Least Common Multiple of 835,8554 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 835,8554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,8554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,8554) x common factors =1 x 1 = 1
LCM(835,8554) = ( 835 × 8554 ) / 1
LCM(835,8554) = 7142590 / 1
LCM(835,8554) = 7142590
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FAQs on GCF of Fractions of 6217/835, 8257/8554
1. What is the HCF of 6217,8257?
The HCF of 6217,8257 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 6217/835, 8257/8554?
Answer: GCF of Numerators as per given numbers 6217/835, 8257/8554 is
GCF of Numerators i.e. for 6217,8257 is 1
LCM of denominators i.e. for 835,8554 is 7142590.
Thus, GCF of Fractions is 1/7142590.Finally, GCF of Fractions for 6217/835, 8257/8554 is 1/7142590.