GCF of 8449/684, 6748/9807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8449/684, 6748/9807 i.e 7/2235996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8449/684, 6748/9807.
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 8449/684,6748/9807?
Given fractions are 8449/684,6748/9807
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 8449/684,6748/9807, numerators are 8449,6748
Denominators are 684,9807
The GCF of 8449,6748 is 7 .
LCM of 684,9807 is 2235996.
The greatest common factor of 8449/684,6748/9807 = [GCF of 8449,6748]/[LCM of 684,9807]= 7/2235996
Therefore, the GCF of 8449/684,6748/9807 is 7/2235996.
To find the highest common factor of 8449,6748, we have to find the factors of both numbers and list the highest common factor.
The factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449
The factors of 6748 are 1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748
The HCF of 8449,6748 is 7.
Lets's calculate GCF of 8449,6748
| 7 | 8449, 6748 |
| 1207, 964 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8449,6748 By Matching Biggest Common Factor Method
Now, list down the factors of 8449
:1,7,17,71,119,497,1207,8449
Now, list down the factors of 6748
:1,2,4,7,14,28,241,482,964,1687,3374,6748
Greatest Common Factor
We found the factors 8449,6748 . The biggest common factor number is the GCF number.
So the greatest common factor 8449,6748 is 7.
Lets's calculate LCM of 684,9807
| 3 | 684, 9807 |
| 228, 3269 |
∴ So the LCM of the given numbers is 3 x 228 x 3269 = 2235996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2235996
Therefore, the GCF of Fractions 8449/684,6748/9807 is 7/2235996
Least Common Multiple of 684,9807 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 684,9807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,9807) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(684,9807) x common factors =3 x 1 = 3
LCM(684,9807) = ( 684 × 9807 ) / 3
LCM(684,9807) = 6707988 / 3
LCM(684,9807) = 2235996
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8449/684, 6748/9807
1. What is the HCF of 8449,6748?
The HCF of 8449,6748 is 7
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 8449/684, 6748/9807?
Answer: GCF of Numerators as per given numbers 8449/684, 6748/9807 is
GCF of Numerators i.e. for 8449,6748 is 7
LCM of denominators i.e. for 684,9807 is 2235996.
Thus, GCF of Fractions is 7/2235996.Finally, GCF of Fractions for 8449/684, 6748/9807 is 7/2235996.