GCF of 8867/815, 6396/929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8867/815, 6396/929 i.e 1/757135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8867/815, 6396/929.
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 8867/815,6396/929?
Given fractions are 8867/815,6396/929
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 8867/815,6396/929, numerators are 8867,6396
Denominators are 815,929
The GCF of 8867,6396 is 1 .
LCM of 815,929 is 757135.
The greatest common factor of 8867/815,6396/929 = [GCF of 8867,6396]/[LCM of 815,929]= 1/757135
Therefore, the GCF of 8867/815,6396/929 is 1/757135.
To find the highest common factor of 8867,6396, we have to find the factors of both numbers and list the highest common factor.
The factors of 8867 are 1, 8867
The factors of 6396 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198, 6396
The HCF of 8867,6396 is 1.
Lets's calculate GCF of 8867,6396
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8867,6396 By Matching Biggest Common Factor Method
Now, list down the factors of 8867
:1,8867
Now, list down the factors of 6396
:1,2,3,4,6,12,13,26,39,41,52,78,82,123,156,164,246,492,533,1066,1599,2132,3198,6396
Greatest Common Factor
We found the factors 8867,6396 . The biggest common factor number is the GCF number.
So the greatest common factor 8867,6396 is 1.
Lets's calculate LCM of 815,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 757135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/757135
Therefore, the GCF of Fractions 8867/815,6396/929 is 1/757135
Least Common Multiple of 815,929 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 815,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,929) x common factors =1 x 1 = 1
LCM(815,929) = ( 815 × 929 ) / 1
LCM(815,929) = 757135 / 1
LCM(815,929) = 757135
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FAQs on GCF of Fractions of 8867/815, 6396/929
1. What is the HCF of 8867,6396?
The HCF of 8867,6396 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 8867/815, 6396/929?
Answer: GCF of Numerators as per given numbers 8867/815, 6396/929 is
GCF of Numerators i.e. for 8867,6396 is 1
LCM of denominators i.e. for 815,929 is 757135.
Thus, GCF of Fractions is 1/757135.Finally, GCF of Fractions for 8867/815, 6396/929 is 1/757135.