GCF of 6815/956, 4653/2199
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6815/956, 4653/2199 i.e 47/2102244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6815/956, 4653/2199.
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 6815/956,4653/2199?
Given fractions are 6815/956,4653/2199
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 6815/956,4653/2199, numerators are 6815,4653
Denominators are 956,2199
The GCF of 6815,4653 is 47 .
LCM of 956,2199 is 2102244.
The greatest common factor of 6815/956,4653/2199 = [GCF of 6815,4653]/[LCM of 956,2199]= 47/2102244
Therefore, the GCF of 6815/956,4653/2199 is 47/2102244.
To find the highest common factor of 6815,4653, we have to find the factors of both numbers and list the highest common factor.
The factors of 6815 are 1, 5, 29, 47, 145, 235, 1363, 6815
The factors of 4653 are 1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653
The HCF of 6815,4653 is 47.
Lets's calculate GCF of 6815,4653
| 47 | 6815, 4653 |
| 145, 99 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 6815,4653 By Matching Biggest Common Factor Method
Now, list down the factors of 6815
:1,5,29,47,145,235,1363,6815
Now, list down the factors of 4653
:1,3,9,11,33,47,99,141,423,517,1551,4653
Greatest Common Factor
We found the factors 6815,4653 . The biggest common factor number is the GCF number.
So the greatest common factor 6815,4653 is 47.
Lets's calculate LCM of 956,2199
Given numbers has no common factors except 1. So, there LCM is their product i.e 2102244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/2102244
Therefore, the GCF of Fractions 6815/956,4653/2199 is 47/2102244
Least Common Multiple of 956,2199 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 956,2199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,2199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(956,2199) x common factors =1 x 1 = 1
LCM(956,2199) = ( 956 × 2199 ) / 1
LCM(956,2199) = 2102244 / 1
LCM(956,2199) = 2102244
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FAQs on GCF of Fractions of 6815/956, 4653/2199
1. What is the HCF of 6815,4653?
The HCF of 6815,4653 is 47
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 6815/956, 4653/2199?
Answer: GCF of Numerators as per given numbers 6815/956, 4653/2199 is
GCF of Numerators i.e. for 6815,4653 is 47
LCM of denominators i.e. for 956,2199 is 2102244.
Thus, GCF of Fractions is 47/2102244.Finally, GCF of Fractions for 6815/956, 4653/2199 is 47/2102244.