GCF of 8493/531, 7288/6984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8493/531, 7288/6984 i.e 1/412056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8493/531, 7288/6984.
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 8493/531,7288/6984?
Given fractions are 8493/531,7288/6984
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 8493/531,7288/6984, numerators are 8493,7288
Denominators are 531,6984
The GCF of 8493,7288 is 1 .
LCM of 531,6984 is 412056.
The greatest common factor of 8493/531,7288/6984 = [GCF of 8493,7288]/[LCM of 531,6984]= 1/412056
Therefore, the GCF of 8493/531,7288/6984 is 1/412056.
To find the highest common factor of 8493,7288, we have to find the factors of both numbers and list the highest common factor.
The factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493
The factors of 7288 are 1, 2, 4, 8, 911, 1822, 3644, 7288
The HCF of 8493,7288 is 1.
Lets's calculate GCF of 8493,7288
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8493,7288 By Matching Biggest Common Factor Method
Now, list down the factors of 8493
:1,3,19,57,149,447,2831,8493
Now, list down the factors of 7288
:1,2,4,8,911,1822,3644,7288
Greatest Common Factor
We found the factors 8493,7288 . The biggest common factor number is the GCF number.
So the greatest common factor 8493,7288 is 1.
Lets's calculate LCM of 531,6984
| 3 | 531, 6984 |
| 3 | 177, 2328 |
| 59, 776 |
∴ So the LCM of the given numbers is 3 x 3 x 59 x 776 = 412056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412056
Therefore, the GCF of Fractions 8493/531,7288/6984 is 1/412056
Least Common Multiple of 531,6984 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 531,6984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,6984) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(531,6984) x common factors =9 x 1 = 9
LCM(531,6984) = ( 531 × 6984 ) / 9
LCM(531,6984) = 3708504 / 9
LCM(531,6984) = 412056
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FAQs on GCF of Fractions of 8493/531, 7288/6984
1. What is the HCF of 8493,7288?
The HCF of 8493,7288 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 8493/531, 7288/6984?
Answer: GCF of Numerators as per given numbers 8493/531, 7288/6984 is
GCF of Numerators i.e. for 8493,7288 is 1
LCM of denominators i.e. for 531,6984 is 412056.
Thus, GCF of Fractions is 1/412056.Finally, GCF of Fractions for 8493/531, 7288/6984 is 1/412056.