GCF of 7063/922, 9584/6206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7063/922, 9584/6206 i.e 1/2860966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7063/922, 9584/6206.
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 7063/922,9584/6206?
Given fractions are 7063/922,9584/6206
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 7063/922,9584/6206, numerators are 7063,9584
Denominators are 922,6206
The GCF of 7063,9584 is 1 .
LCM of 922,6206 is 2860966.
The greatest common factor of 7063/922,9584/6206 = [GCF of 7063,9584]/[LCM of 922,6206]= 1/2860966
Therefore, the GCF of 7063/922,9584/6206 is 1/2860966.
To find the highest common factor of 7063,9584, we have to find the factors of both numbers and list the highest common factor.
The factors of 7063 are 1, 7, 1009, 7063
The factors of 9584 are 1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584
The HCF of 7063,9584 is 1.
Lets's calculate GCF of 7063,9584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7063,9584 By Matching Biggest Common Factor Method
Now, list down the factors of 7063
:1,7,1009,7063
Now, list down the factors of 9584
:1,2,4,8,16,599,1198,2396,4792,9584
Greatest Common Factor
We found the factors 7063,9584 . The biggest common factor number is the GCF number.
So the greatest common factor 7063,9584 is 1.
Lets's calculate LCM of 922,6206
| 2 | 922, 6206 |
| 461, 3103 |
∴ So the LCM of the given numbers is 2 x 461 x 3103 = 2860966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2860966
Therefore, the GCF of Fractions 7063/922,9584/6206 is 1/2860966
Least Common Multiple of 922,6206 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 922,6206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,6206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,6206) x common factors =2 x 1 = 2
LCM(922,6206) = ( 922 × 6206 ) / 2
LCM(922,6206) = 5721932 / 2
LCM(922,6206) = 2860966
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FAQs on GCF of Fractions of 7063/922, 9584/6206
1. What is the HCF of 7063,9584?
The HCF of 7063,9584 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 7063/922, 9584/6206?
Answer: GCF of Numerators as per given numbers 7063/922, 9584/6206 is
GCF of Numerators i.e. for 7063,9584 is 1
LCM of denominators i.e. for 922,6206 is 2860966.
Thus, GCF of Fractions is 1/2860966.Finally, GCF of Fractions for 7063/922, 9584/6206 is 1/2860966.