GCF of 9319/784, 2768/1810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9319/784, 2768/1810 i.e 1/709520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9319/784, 2768/1810.
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 9319/784,2768/1810?
Given fractions are 9319/784,2768/1810
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 9319/784,2768/1810, numerators are 9319,2768
Denominators are 784,1810
The GCF of 9319,2768 is 1 .
LCM of 784,1810 is 709520.
The greatest common factor of 9319/784,2768/1810 = [GCF of 9319,2768]/[LCM of 784,1810]= 1/709520
Therefore, the GCF of 9319/784,2768/1810 is 1/709520.
To find the highest common factor of 9319,2768, we have to find the factors of both numbers and list the highest common factor.
The factors of 9319 are 1, 9319
The factors of 2768 are 1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768
The HCF of 9319,2768 is 1.
Lets's calculate GCF of 9319,2768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9319,2768 By Matching Biggest Common Factor Method
Now, list down the factors of 9319
:1,9319
Now, list down the factors of 2768
:1,2,4,8,16,173,346,692,1384,2768
Greatest Common Factor
We found the factors 9319,2768 . The biggest common factor number is the GCF number.
So the greatest common factor 9319,2768 is 1.
Lets's calculate LCM of 784,1810
| 2 | 784, 1810 |
| 392, 905 |
∴ So the LCM of the given numbers is 2 x 392 x 905 = 709520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709520
Therefore, the GCF of Fractions 9319/784,2768/1810 is 1/709520
Least Common Multiple of 784,1810 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 784,1810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,1810) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,1810) x common factors =2 x 1 = 2
LCM(784,1810) = ( 784 × 1810 ) / 2
LCM(784,1810) = 1419040 / 2
LCM(784,1810) = 709520
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FAQs on GCF of Fractions of 9319/784, 2768/1810
1. What is the HCF of 9319,2768?
The HCF of 9319,2768 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 9319/784, 2768/1810?
Answer: GCF of Numerators as per given numbers 9319/784, 2768/1810 is
GCF of Numerators i.e. for 9319,2768 is 1
LCM of denominators i.e. for 784,1810 is 709520.
Thus, GCF of Fractions is 1/709520.Finally, GCF of Fractions for 9319/784, 2768/1810 is 1/709520.