GCF of 9671/922, 9789/3112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9671/922, 9789/3112 i.e 1/1434632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9671/922, 9789/3112.
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 9671/922,9789/3112?
Given fractions are 9671/922,9789/3112
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 9671/922,9789/3112, numerators are 9671,9789
Denominators are 922,3112
The GCF of 9671,9789 is 1 .
LCM of 922,3112 is 1434632.
The greatest common factor of 9671/922,9789/3112 = [GCF of 9671,9789]/[LCM of 922,3112]= 1/1434632
Therefore, the GCF of 9671/922,9789/3112 is 1/1434632.
To find the highest common factor of 9671,9789, we have to find the factors of both numbers and list the highest common factor.
The factors of 9671 are 1, 19, 509, 9671
The factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789
The HCF of 9671,9789 is 1.
Lets's calculate GCF of 9671,9789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9671,9789 By Matching Biggest Common Factor Method
Now, list down the factors of 9671
:1,19,509,9671
Now, list down the factors of 9789
:1,3,13,39,251,753,3263,9789
Greatest Common Factor
We found the factors 9671,9789 . The biggest common factor number is the GCF number.
So the greatest common factor 9671,9789 is 1.
Lets's calculate LCM of 922,3112
| 2 | 922, 3112 |
| 461, 1556 |
∴ So the LCM of the given numbers is 2 x 461 x 1556 = 1434632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1434632
Therefore, the GCF of Fractions 9671/922,9789/3112 is 1/1434632
Least Common Multiple of 922,3112 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 922,3112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,3112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,3112) x common factors =2 x 1 = 2
LCM(922,3112) = ( 922 × 3112 ) / 2
LCM(922,3112) = 2869264 / 2
LCM(922,3112) = 1434632
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FAQs on GCF of Fractions of 9671/922, 9789/3112
1. What is the HCF of 9671,9789?
The HCF of 9671,9789 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 9671/922, 9789/3112?
Answer: GCF of Numerators as per given numbers 9671/922, 9789/3112 is
GCF of Numerators i.e. for 9671,9789 is 1
LCM of denominators i.e. for 922,3112 is 1434632.
Thus, GCF of Fractions is 1/1434632.Finally, GCF of Fractions for 9671/922, 9789/3112 is 1/1434632.