GCF of 7899/646, 5036/8277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7899/646, 5036/8277 i.e 1/5346942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7899/646, 5036/8277.
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 7899/646,5036/8277?
Given fractions are 7899/646,5036/8277
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 7899/646,5036/8277, numerators are 7899,5036
Denominators are 646,8277
The GCF of 7899,5036 is 1 .
LCM of 646,8277 is 5346942.
The greatest common factor of 7899/646,5036/8277 = [GCF of 7899,5036]/[LCM of 646,8277]= 1/5346942
Therefore, the GCF of 7899/646,5036/8277 is 1/5346942.
To find the highest common factor of 7899,5036, we have to find the factors of both numbers and list the highest common factor.
The factors of 7899 are 1, 3, 2633, 7899
The factors of 5036 are 1, 2, 4, 1259, 2518, 5036
The HCF of 7899,5036 is 1.
Lets's calculate GCF of 7899,5036
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7899,5036 By Matching Biggest Common Factor Method
Now, list down the factors of 7899
:1,3,2633,7899
Now, list down the factors of 5036
:1,2,4,1259,2518,5036
Greatest Common Factor
We found the factors 7899,5036 . The biggest common factor number is the GCF number.
So the greatest common factor 7899,5036 is 1.
Lets's calculate LCM of 646,8277
Given numbers has no common factors except 1. So, there LCM is their product i.e 5346942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5346942
Therefore, the GCF of Fractions 7899/646,5036/8277 is 1/5346942
Least Common Multiple of 646,8277 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 646,8277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,8277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,8277) x common factors =1 x 1 = 1
LCM(646,8277) = ( 646 × 8277 ) / 1
LCM(646,8277) = 5346942 / 1
LCM(646,8277) = 5346942
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FAQs on GCF of Fractions of 7899/646, 5036/8277
1. What is the HCF of 7899,5036?
The HCF of 7899,5036 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 7899/646, 5036/8277?
Answer: GCF of Numerators as per given numbers 7899/646, 5036/8277 is
GCF of Numerators i.e. for 7899,5036 is 1
LCM of denominators i.e. for 646,8277 is 5346942.
Thus, GCF of Fractions is 1/5346942.Finally, GCF of Fractions for 7899/646, 5036/8277 is 1/5346942.