GCF of 1443/69, 9719/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1443/69, 9719/318 i.e 1/7314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1443/69, 9719/318.
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 1443/69,9719/318?
Given fractions are 1443/69,9719/318
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 1443/69,9719/318, numerators are 1443,9719
Denominators are 69,318
The GCF of 1443,9719 is 1 .
LCM of 69,318 is 7314.
The greatest common factor of 1443/69,9719/318 = [GCF of 1443,9719]/[LCM of 69,318]= 1/7314
Therefore, the GCF of 1443/69,9719/318 is 1/7314.
To find the highest common factor of 1443,9719, we have to find the factors of both numbers and list the highest common factor.
The factors of 1443 are 1, 3, 13, 37, 39, 111, 481, 1443
The factors of 9719 are 1, 9719
The HCF of 1443,9719 is 1.
Lets's calculate GCF of 1443,9719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1443,9719 By Matching Biggest Common Factor Method
Now, list down the factors of 1443
:1,3,13,37,39,111,481,1443
Now, list down the factors of 9719
:1,9719
Greatest Common Factor
We found the factors 1443,9719 . The biggest common factor number is the GCF number.
So the greatest common factor 1443,9719 is 1.
Lets's calculate LCM of 69,318
| 3 | 69, 318 |
| 23, 106 |
∴ So the LCM of the given numbers is 3 x 23 x 106 = 7314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7314
Therefore, the GCF of Fractions 1443/69,9719/318 is 1/7314
Least Common Multiple of 69,318 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 69,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,318) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,318) x common factors =3 x 1 = 3
LCM(69,318) = ( 69 × 318 ) / 3
LCM(69,318) = 21942 / 3
LCM(69,318) = 7314
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FAQs on GCF of Fractions of 1443/69, 9719/318
1. What is the HCF of 1443,9719?
The HCF of 1443,9719 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 1443/69, 9719/318?
Answer: GCF of Numerators as per given numbers 1443/69, 9719/318 is
GCF of Numerators i.e. for 1443,9719 is 1
LCM of denominators i.e. for 69,318 is 7314.
Thus, GCF of Fractions is 1/7314.Finally, GCF of Fractions for 1443/69, 9719/318 is 1/7314.