GCF of 9190/856, 9784/626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9190/856, 9784/626 i.e 2/267928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9190/856, 9784/626.
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 9190/856,9784/626?
Given fractions are 9190/856,9784/626
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 9190/856,9784/626, numerators are 9190,9784
Denominators are 856,626
The GCF of 9190,9784 is 2 .
LCM of 856,626 is 267928.
The greatest common factor of 9190/856,9784/626 = [GCF of 9190,9784]/[LCM of 856,626]= 2/267928
Therefore, the GCF of 9190/856,9784/626 is 2/267928.
To find the highest common factor of 9190,9784, we have to find the factors of both numbers and list the highest common factor.
The factors of 9190 are 1, 2, 5, 10, 919, 1838, 4595, 9190
The factors of 9784 are 1, 2, 4, 8, 1223, 2446, 4892, 9784
The HCF of 9190,9784 is 2.
Lets's calculate GCF of 9190,9784
| 2 | 9190, 9784 |
| 4595, 4892 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9190,9784 By Matching Biggest Common Factor Method
Now, list down the factors of 9190
:1,2,5,10,919,1838,4595,9190
Now, list down the factors of 9784
:1,2,4,8,1223,2446,4892,9784
Greatest Common Factor
We found the factors 9190,9784 . The biggest common factor number is the GCF number.
So the greatest common factor 9190,9784 is 2.
Lets's calculate LCM of 856,626
| 2 | 856, 626 |
| 428, 313 |
∴ So the LCM of the given numbers is 2 x 428 x 313 = 267928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/267928
Therefore, the GCF of Fractions 9190/856,9784/626 is 2/267928
Least Common Multiple of 856,626 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 856,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(856,626) x common factors =2 x 1 = 2
LCM(856,626) = ( 856 × 626 ) / 2
LCM(856,626) = 535856 / 2
LCM(856,626) = 267928
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FAQs on GCF of Fractions of 9190/856, 9784/626
1. What is the HCF of 9190,9784?
The HCF of 9190,9784 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 9190/856, 9784/626?
Answer: GCF of Numerators as per given numbers 9190/856, 9784/626 is
GCF of Numerators i.e. for 9190,9784 is 2
LCM of denominators i.e. for 856,626 is 267928.
Thus, GCF of Fractions is 2/267928.Finally, GCF of Fractions for 9190/856, 9784/626 is 2/267928.