GCF of 7043/717, 8256/5449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7043/717, 8256/5449 i.e 1/3906933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7043/717, 8256/5449.
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 7043/717,8256/5449?
Given fractions are 7043/717,8256/5449
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 7043/717,8256/5449, numerators are 7043,8256
Denominators are 717,5449
The GCF of 7043,8256 is 1 .
LCM of 717,5449 is 3906933.
The greatest common factor of 7043/717,8256/5449 = [GCF of 7043,8256]/[LCM of 717,5449]= 1/3906933
Therefore, the GCF of 7043/717,8256/5449 is 1/3906933.
To find the highest common factor of 7043,8256, we have to find the factors of both numbers and list the highest common factor.
The factors of 7043 are 1, 7043
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The HCF of 7043,8256 is 1.
Lets's calculate GCF of 7043,8256
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7043,8256 By Matching Biggest Common Factor Method
Now, list down the factors of 7043
:1,7043
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Greatest Common Factor
We found the factors 7043,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 7043,8256 is 1.
Lets's calculate LCM of 717,5449
Given numbers has no common factors except 1. So, there LCM is their product i.e 3906933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3906933
Therefore, the GCF of Fractions 7043/717,8256/5449 is 1/3906933
Least Common Multiple of 717,5449 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 717,5449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,5449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,5449) x common factors =1 x 1 = 1
LCM(717,5449) = ( 717 × 5449 ) / 1
LCM(717,5449) = 3906933 / 1
LCM(717,5449) = 3906933
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FAQs on GCF of Fractions of 7043/717, 8256/5449
1. What is the HCF of 7043,8256?
The HCF of 7043,8256 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 7043/717, 8256/5449?
Answer: GCF of Numerators as per given numbers 7043/717, 8256/5449 is
GCF of Numerators i.e. for 7043,8256 is 1
LCM of denominators i.e. for 717,5449 is 3906933.
Thus, GCF of Fractions is 1/3906933.Finally, GCF of Fractions for 7043/717, 8256/5449 is 1/3906933.