GCF of 8770/323, 6804/2199
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8770/323, 6804/2199 i.e 2/710277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8770/323, 6804/2199.
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 8770/323,6804/2199?
Given fractions are 8770/323,6804/2199
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 8770/323,6804/2199, numerators are 8770,6804
Denominators are 323,2199
The GCF of 8770,6804 is 2 .
LCM of 323,2199 is 710277.
The greatest common factor of 8770/323,6804/2199 = [GCF of 8770,6804]/[LCM of 323,2199]= 2/710277
Therefore, the GCF of 8770/323,6804/2199 is 2/710277.
To find the highest common factor of 8770,6804, we have to find the factors of both numbers and list the highest common factor.
The factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770
The factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804
The HCF of 8770,6804 is 2.
Lets's calculate GCF of 8770,6804
| 2 | 8770, 6804 |
| 4385, 3402 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8770,6804 By Matching Biggest Common Factor Method
Now, list down the factors of 8770
:1,2,5,10,877,1754,4385,8770
Now, list down the factors of 6804
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Greatest Common Factor
We found the factors 8770,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 8770,6804 is 2.
Lets's calculate LCM of 323,2199
Given numbers has no common factors except 1. So, there LCM is their product i.e 710277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/710277
Therefore, the GCF of Fractions 8770/323,6804/2199 is 2/710277
Least Common Multiple of 323,2199 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 323,2199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,2199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,2199) x common factors =1 x 1 = 1
LCM(323,2199) = ( 323 × 2199 ) / 1
LCM(323,2199) = 710277 / 1
LCM(323,2199) = 710277
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FAQs on GCF of Fractions of 8770/323, 6804/2199
1. What is the HCF of 8770,6804?
The HCF of 8770,6804 is 2
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 8770/323, 6804/2199?
Answer: GCF of Numerators as per given numbers 8770/323, 6804/2199 is
GCF of Numerators i.e. for 8770,6804 is 2
LCM of denominators i.e. for 323,2199 is 710277.
Thus, GCF of Fractions is 2/710277.Finally, GCF of Fractions for 8770/323, 6804/2199 is 2/710277.