GCF of 6397/766, 8769/5299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6397/766, 8769/5299 i.e 1/4059034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6397/766, 8769/5299.
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 6397/766,8769/5299?
Given fractions are 6397/766,8769/5299
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 6397/766,8769/5299, numerators are 6397,8769
Denominators are 766,5299
The GCF of 6397,8769 is 1 .
LCM of 766,5299 is 4059034.
The greatest common factor of 6397/766,8769/5299 = [GCF of 6397,8769]/[LCM of 766,5299]= 1/4059034
Therefore, the GCF of 6397/766,8769/5299 is 1/4059034.
To find the highest common factor of 6397,8769, we have to find the factors of both numbers and list the highest common factor.
The factors of 6397 are 1, 6397
The factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769
The HCF of 6397,8769 is 1.
Lets's calculate GCF of 6397,8769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6397,8769 By Matching Biggest Common Factor Method
Now, list down the factors of 6397
:1,6397
Now, list down the factors of 8769
:1,3,37,79,111,237,2923,8769
Greatest Common Factor
We found the factors 6397,8769 . The biggest common factor number is the GCF number.
So the greatest common factor 6397,8769 is 1.
Lets's calculate LCM of 766,5299
Given numbers has no common factors except 1. So, there LCM is their product i.e 4059034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4059034
Therefore, the GCF of Fractions 6397/766,8769/5299 is 1/4059034
Least Common Multiple of 766,5299 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 766,5299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,5299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,5299) x common factors =1 x 1 = 1
LCM(766,5299) = ( 766 × 5299 ) / 1
LCM(766,5299) = 4059034 / 1
LCM(766,5299) = 4059034
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FAQs on GCF of Fractions of 6397/766, 8769/5299
1. What is the HCF of 6397,8769?
The HCF of 6397,8769 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 6397/766, 8769/5299?
Answer: GCF of Numerators as per given numbers 6397/766, 8769/5299 is
GCF of Numerators i.e. for 6397,8769 is 1
LCM of denominators i.e. for 766,5299 is 4059034.
Thus, GCF of Fractions is 1/4059034.Finally, GCF of Fractions for 6397/766, 8769/5299 is 1/4059034.