GCF of 3400/696, 8491/727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3400/696, 8491/727 i.e 1/505992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3400/696, 8491/727.
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 3400/696,8491/727?
Given fractions are 3400/696,8491/727
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 3400/696,8491/727, numerators are 3400,8491
Denominators are 696,727
The GCF of 3400,8491 is 1 .
LCM of 696,727 is 505992.
The greatest common factor of 3400/696,8491/727 = [GCF of 3400,8491]/[LCM of 696,727]= 1/505992
Therefore, the GCF of 3400/696,8491/727 is 1/505992.
To find the highest common factor of 3400,8491, we have to find the factors of both numbers and list the highest common factor.
The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
The factors of 8491 are 1, 7, 1213, 8491
The HCF of 3400,8491 is 1.
Lets's calculate GCF of 3400,8491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3400,8491 By Matching Biggest Common Factor Method
Now, list down the factors of 3400
:1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Now, list down the factors of 8491
:1,7,1213,8491
Greatest Common Factor
We found the factors 3400,8491 . The biggest common factor number is the GCF number.
So the greatest common factor 3400,8491 is 1.
Lets's calculate LCM of 696,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 505992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505992
Therefore, the GCF of Fractions 3400/696,8491/727 is 1/505992
Least Common Multiple of 696,727 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 696,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(696,727) x common factors =1 x 1 = 1
LCM(696,727) = ( 696 × 727 ) / 1
LCM(696,727) = 505992 / 1
LCM(696,727) = 505992
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FAQs on GCF of Fractions of 3400/696, 8491/727
1. What is the HCF of 3400,8491?
The HCF of 3400,8491 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 3400/696, 8491/727?
Answer: GCF of Numerators as per given numbers 3400/696, 8491/727 is
GCF of Numerators i.e. for 3400,8491 is 1
LCM of denominators i.e. for 696,727 is 505992.
Thus, GCF of Fractions is 1/505992.Finally, GCF of Fractions for 3400/696, 8491/727 is 1/505992.