GCF of 7006/840, 8314/9393
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7006/840, 8314/9393 i.e 2/2630040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7006/840, 8314/9393.
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 7006/840,8314/9393?
Given fractions are 7006/840,8314/9393
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 7006/840,8314/9393, numerators are 7006,8314
Denominators are 840,9393
The GCF of 7006,8314 is 2 .
LCM of 840,9393 is 2630040.
The greatest common factor of 7006/840,8314/9393 = [GCF of 7006,8314]/[LCM of 840,9393]= 2/2630040
Therefore, the GCF of 7006/840,8314/9393 is 2/2630040.
To find the highest common factor of 7006,8314, we have to find the factors of both numbers and list the highest common factor.
The factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006
The factors of 8314 are 1, 2, 4157, 8314
The HCF of 7006,8314 is 2.
Lets's calculate GCF of 7006,8314
| 2 | 7006, 8314 |
| 3503, 4157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7006,8314 By Matching Biggest Common Factor Method
Now, list down the factors of 7006
:1,2,31,62,113,226,3503,7006
Now, list down the factors of 8314
:1,2,4157,8314
Greatest Common Factor
We found the factors 7006,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 7006,8314 is 2.
Lets's calculate LCM of 840,9393
| 3 | 840, 9393 |
| 280, 3131 |
∴ So the LCM of the given numbers is 3 x 280 x 3131 = 2630040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2630040
Therefore, the GCF of Fractions 7006/840,8314/9393 is 2/2630040
Least Common Multiple of 840,9393 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 840,9393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,9393) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(840,9393) x common factors =3 x 1 = 3
LCM(840,9393) = ( 840 × 9393 ) / 3
LCM(840,9393) = 7890120 / 3
LCM(840,9393) = 2630040
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FAQs on GCF of Fractions of 7006/840, 8314/9393
1. What is the HCF of 7006,8314?
The HCF of 7006,8314 is 2
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 7006/840, 8314/9393?
Answer: GCF of Numerators as per given numbers 7006/840, 8314/9393 is
GCF of Numerators i.e. for 7006,8314 is 2
LCM of denominators i.e. for 840,9393 is 2630040.
Thus, GCF of Fractions is 2/2630040.Finally, GCF of Fractions for 7006/840, 8314/9393 is 2/2630040.