GCF of 6648/473, 8493/5102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6648/473, 8493/5102 i.e 3/2413246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6648/473, 8493/5102.
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 6648/473,8493/5102?
Given fractions are 6648/473,8493/5102
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 6648/473,8493/5102, numerators are 6648,8493
Denominators are 473,5102
The GCF of 6648,8493 is 3 .
LCM of 473,5102 is 2413246.
The greatest common factor of 6648/473,8493/5102 = [GCF of 6648,8493]/[LCM of 473,5102]= 3/2413246
Therefore, the GCF of 6648/473,8493/5102 is 3/2413246.
To find the highest common factor of 6648,8493, we have to find the factors of both numbers and list the highest common factor.
The factors of 6648 are 1, 2, 3, 4, 6, 8, 12, 24, 277, 554, 831, 1108, 1662, 2216, 3324, 6648
The factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493
The HCF of 6648,8493 is 3.
Lets's calculate GCF of 6648,8493
| 3 | 6648, 8493 |
| 2216, 2831 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6648,8493 By Matching Biggest Common Factor Method
Now, list down the factors of 6648
:1,2,3,4,6,8,12,24,277,554,831,1108,1662,2216,3324,6648
Now, list down the factors of 8493
:1,3,19,57,149,447,2831,8493
Greatest Common Factor
We found the factors 6648,8493 . The biggest common factor number is the GCF number.
So the greatest common factor 6648,8493 is 3.
Lets's calculate LCM of 473,5102
Given numbers has no common factors except 1. So, there LCM is their product i.e 2413246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2413246
Therefore, the GCF of Fractions 6648/473,8493/5102 is 3/2413246
Least Common Multiple of 473,5102 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 473,5102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,5102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,5102) x common factors =1 x 1 = 1
LCM(473,5102) = ( 473 × 5102 ) / 1
LCM(473,5102) = 2413246 / 1
LCM(473,5102) = 2413246
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FAQs on GCF of Fractions of 6648/473, 8493/5102
1. What is the HCF of 6648,8493?
The HCF of 6648,8493 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 6648/473, 8493/5102?
Answer: GCF of Numerators as per given numbers 6648/473, 8493/5102 is
GCF of Numerators i.e. for 6648,8493 is 3
LCM of denominators i.e. for 473,5102 is 2413246.
Thus, GCF of Fractions is 3/2413246.Finally, GCF of Fractions for 6648/473, 8493/5102 is 3/2413246.