GCF of 931/819, 1589/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 931/819, 1589/705 i.e 7/192465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/819, 1589/705.
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 931/819,1589/705?
Given fractions are 931/819,1589/705
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 931/819,1589/705, numerators are 931,1589
Denominators are 819,705
The GCF of 931,1589 is 7 .
LCM of 819,705 is 192465.
The greatest common factor of 931/819,1589/705 = [GCF of 931,1589]/[LCM of 819,705]= 7/192465
Therefore, the GCF of 931/819,1589/705 is 7/192465.
To find the highest common factor of 931,1589, we have to find the factors of both numbers and list the highest common factor.
The factors of 931 are 1, 7, 19, 49, 133, 931
The factors of 1589 are 1, 7, 227, 1589
The HCF of 931,1589 is 7.
Lets's calculate GCF of 931,1589
| 7 | 931, 1589 |
| 133, 227 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 931,1589 By Matching Biggest Common Factor Method
Now, list down the factors of 931
:1,7,19,49,133,931
Now, list down the factors of 1589
:1,7,227,1589
Greatest Common Factor
We found the factors 931,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 931,1589 is 7.
Lets's calculate LCM of 819,705
| 3 | 819, 705 |
| 273, 235 |
∴ So the LCM of the given numbers is 3 x 273 x 235 = 192465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/192465
Therefore, the GCF of Fractions 931/819,1589/705 is 7/192465
Least Common Multiple of 819,705 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 819,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,705) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(819,705) x common factors =3 x 1 = 3
LCM(819,705) = ( 819 × 705 ) / 3
LCM(819,705) = 577395 / 3
LCM(819,705) = 192465
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FAQs on GCF of Fractions of 931/819, 1589/705
1. What is the HCF of 931,1589?
The HCF of 931,1589 is 7
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 931/819, 1589/705?
Answer: GCF of Numerators as per given numbers 931/819, 1589/705 is
GCF of Numerators i.e. for 931,1589 is 7
LCM of denominators i.e. for 819,705 is 192465.
Thus, GCF of Fractions is 7/192465.Finally, GCF of Fractions for 931/819, 1589/705 is 7/192465.