GCF of 1360/531, 1447/9678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1360/531, 1447/9678 i.e 1/1713006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1360/531, 1447/9678.
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 1360/531,1447/9678?
Given fractions are 1360/531,1447/9678
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 1360/531,1447/9678, numerators are 1360,1447
Denominators are 531,9678
The GCF of 1360,1447 is 1 .
LCM of 531,9678 is 1713006.
The greatest common factor of 1360/531,1447/9678 = [GCF of 1360,1447]/[LCM of 531,9678]= 1/1713006
Therefore, the GCF of 1360/531,1447/9678 is 1/1713006.
To find the highest common factor of 1360,1447, we have to find the factors of both numbers and list the highest common factor.
The factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360
The factors of 1447 are 1, 1447
The HCF of 1360,1447 is 1.
Lets's calculate GCF of 1360,1447
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1360,1447 By Matching Biggest Common Factor Method
Now, list down the factors of 1360
:1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360
Now, list down the factors of 1447
:1,1447
Greatest Common Factor
We found the factors 1360,1447 . The biggest common factor number is the GCF number.
So the greatest common factor 1360,1447 is 1.
Lets's calculate LCM of 531,9678
| 3 | 531, 9678 |
| 177, 3226 |
∴ So the LCM of the given numbers is 3 x 177 x 3226 = 1713006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1713006
Therefore, the GCF of Fractions 1360/531,1447/9678 is 1/1713006
Least Common Multiple of 531,9678 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 531,9678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,9678) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(531,9678) x common factors =3 x 1 = 3
LCM(531,9678) = ( 531 × 9678 ) / 3
LCM(531,9678) = 5139018 / 3
LCM(531,9678) = 1713006
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FAQs on GCF of Fractions of 1360/531, 1447/9678
1. What is the HCF of 1360,1447?
The HCF of 1360,1447 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 1360/531, 1447/9678?
Answer: GCF of Numerators as per given numbers 1360/531, 1447/9678 is
GCF of Numerators i.e. for 1360,1447 is 1
LCM of denominators i.e. for 531,9678 is 1713006.
Thus, GCF of Fractions is 1/1713006.Finally, GCF of Fractions for 1360/531, 1447/9678 is 1/1713006.