GCF of 1489/696, 7290/399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1489/696, 7290/399 i.e 1/92568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1489/696, 7290/399.
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 1489/696,7290/399?
Given fractions are 1489/696,7290/399
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 1489/696,7290/399, numerators are 1489,7290
Denominators are 696,399
The GCF of 1489,7290 is 1 .
LCM of 696,399 is 92568.
The greatest common factor of 1489/696,7290/399 = [GCF of 1489,7290]/[LCM of 696,399]= 1/92568
Therefore, the GCF of 1489/696,7290/399 is 1/92568.
To find the highest common factor of 1489,7290, we have to find the factors of both numbers and list the highest common factor.
The factors of 1489 are 1, 1489
The factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290
The HCF of 1489,7290 is 1.
Lets's calculate GCF of 1489,7290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1489,7290 By Matching Biggest Common Factor Method
Now, list down the factors of 1489
:1,1489
Now, list down the factors of 7290
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290
Greatest Common Factor
We found the factors 1489,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 1489,7290 is 1.
Lets's calculate LCM of 696,399
| 3 | 696, 399 |
| 232, 133 |
∴ So the LCM of the given numbers is 3 x 232 x 133 = 92568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92568
Therefore, the GCF of Fractions 1489/696,7290/399 is 1/92568
Least Common Multiple of 696,399 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 696,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,399) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(696,399) x common factors =3 x 1 = 3
LCM(696,399) = ( 696 × 399 ) / 3
LCM(696,399) = 277704 / 3
LCM(696,399) = 92568
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FAQs on GCF of Fractions of 1489/696, 7290/399
1. What is the HCF of 1489,7290?
The HCF of 1489,7290 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 1489/696, 7290/399?
Answer: GCF of Numerators as per given numbers 1489/696, 7290/399 is
GCF of Numerators i.e. for 1489,7290 is 1
LCM of denominators i.e. for 696,399 is 92568.
Thus, GCF of Fractions is 1/92568.Finally, GCF of Fractions for 1489/696, 7290/399 is 1/92568.