GCF of 9489/697, 7296/707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9489/697, 7296/707 i.e 3/492779 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9489/697, 7296/707.
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 9489/697,7296/707?
Given fractions are 9489/697,7296/707
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 9489/697,7296/707, numerators are 9489,7296
Denominators are 697,707
The GCF of 9489,7296 is 3 .
LCM of 697,707 is 492779.
The greatest common factor of 9489/697,7296/707 = [GCF of 9489,7296]/[LCM of 697,707]= 3/492779
Therefore, the GCF of 9489/697,7296/707 is 3/492779.
To find the highest common factor of 9489,7296, we have to find the factors of both numbers and list the highest common factor.
The factors of 9489 are 1, 3, 3163, 9489
The factors of 7296 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296
The HCF of 9489,7296 is 3.
Lets's calculate GCF of 9489,7296
| 3 | 9489, 7296 |
| 3163, 2432 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9489,7296 By Matching Biggest Common Factor Method
Now, list down the factors of 9489
:1,3,3163,9489
Now, list down the factors of 7296
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296
Greatest Common Factor
We found the factors 9489,7296 . The biggest common factor number is the GCF number.
So the greatest common factor 9489,7296 is 3.
Lets's calculate LCM of 697,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 492779
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/492779
Therefore, the GCF of Fractions 9489/697,7296/707 is 3/492779
Least Common Multiple of 697,707 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 697,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,707) x common factors =1 x 1 = 1
LCM(697,707) = ( 697 × 707 ) / 1
LCM(697,707) = 492779 / 1
LCM(697,707) = 492779
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FAQs on GCF of Fractions of 9489/697, 7296/707
1. What is the HCF of 9489,7296?
The HCF of 9489,7296 is 3
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 9489/697, 7296/707?
Answer: GCF of Numerators as per given numbers 9489/697, 7296/707 is
GCF of Numerators i.e. for 9489,7296 is 3
LCM of denominators i.e. for 697,707 is 492779.
Thus, GCF of Fractions is 3/492779.Finally, GCF of Fractions for 9489/697, 7296/707 is 3/492779.