GCF of 1467/706, 9747/9804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1467/706, 9747/9804 i.e 9/3460812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1467/706, 9747/9804.
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 1467/706,9747/9804?
Given fractions are 1467/706,9747/9804
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 1467/706,9747/9804, numerators are 1467,9747
Denominators are 706,9804
The GCF of 1467,9747 is 9 .
LCM of 706,9804 is 3460812.
The greatest common factor of 1467/706,9747/9804 = [GCF of 1467,9747]/[LCM of 706,9804]= 9/3460812
Therefore, the GCF of 1467/706,9747/9804 is 9/3460812.
To find the highest common factor of 1467,9747, we have to find the factors of both numbers and list the highest common factor.
The factors of 1467 are 1, 3, 9, 163, 489, 1467
The factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747
The HCF of 1467,9747 is 9.
Lets's calculate GCF of 1467,9747
| 3 | 1467, 9747 |
| 3 | 489, 3249 |
| 163, 1083 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1467,9747 By Matching Biggest Common Factor Method
Now, list down the factors of 1467
:1,3,9,163,489,1467
Now, list down the factors of 9747
:1,3,9,19,27,57,171,361,513,1083,3249,9747
Greatest Common Factor
We found the factors 1467,9747 . The biggest common factor number is the GCF number.
So the greatest common factor 1467,9747 is 9.
Lets's calculate LCM of 706,9804
| 2 | 706, 9804 |
| 353, 4902 |
∴ So the LCM of the given numbers is 2 x 353 x 4902 = 3460812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3460812
Therefore, the GCF of Fractions 1467/706,9747/9804 is 9/3460812
Least Common Multiple of 706,9804 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 706,9804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,9804) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,9804) x common factors =2 x 1 = 2
LCM(706,9804) = ( 706 × 9804 ) / 2
LCM(706,9804) = 6921624 / 2
LCM(706,9804) = 3460812
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FAQs on GCF of Fractions of 1467/706, 9747/9804
1. What is the HCF of 1467,9747?
The HCF of 1467,9747 is 9
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 1467/706, 9747/9804?
Answer: GCF of Numerators as per given numbers 1467/706, 9747/9804 is
GCF of Numerators i.e. for 1467,9747 is 9
LCM of denominators i.e. for 706,9804 is 3460812.
Thus, GCF of Fractions is 9/3460812.Finally, GCF of Fractions for 1467/706, 9747/9804 is 9/3460812.