GCF of 6813/689, 8002/9961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6813/689, 8002/9961 i.e 1/6863129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6813/689, 8002/9961.
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 6813/689,8002/9961?
Given fractions are 6813/689,8002/9961
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 6813/689,8002/9961, numerators are 6813,8002
Denominators are 689,9961
The GCF of 6813,8002 is 1 .
LCM of 689,9961 is 6863129.
The greatest common factor of 6813/689,8002/9961 = [GCF of 6813,8002]/[LCM of 689,9961]= 1/6863129
Therefore, the GCF of 6813/689,8002/9961 is 1/6863129.
To find the highest common factor of 6813,8002, we have to find the factors of both numbers and list the highest common factor.
The factors of 6813 are 1, 3, 9, 757, 2271, 6813
The factors of 8002 are 1, 2, 4001, 8002
The HCF of 6813,8002 is 1.
Lets's calculate GCF of 6813,8002
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6813,8002 By Matching Biggest Common Factor Method
Now, list down the factors of 6813
:1,3,9,757,2271,6813
Now, list down the factors of 8002
:1,2,4001,8002
Greatest Common Factor
We found the factors 6813,8002 . The biggest common factor number is the GCF number.
So the greatest common factor 6813,8002 is 1.
Lets's calculate LCM of 689,9961
Given numbers has no common factors except 1. So, there LCM is their product i.e 6863129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6863129
Therefore, the GCF of Fractions 6813/689,8002/9961 is 1/6863129
Least Common Multiple of 689,9961 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 689,9961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,9961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,9961) x common factors =1 x 1 = 1
LCM(689,9961) = ( 689 × 9961 ) / 1
LCM(689,9961) = 6863129 / 1
LCM(689,9961) = 6863129
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FAQs on GCF of Fractions of 6813/689, 8002/9961
1. What is the HCF of 6813,8002?
The HCF of 6813,8002 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 6813/689, 8002/9961?
Answer: GCF of Numerators as per given numbers 6813/689, 8002/9961 is
GCF of Numerators i.e. for 6813,8002 is 1
LCM of denominators i.e. for 689,9961 is 6863129.
Thus, GCF of Fractions is 1/6863129.Finally, GCF of Fractions for 6813/689, 8002/9961 is 1/6863129.