GCF of 6398/771, 6209/8964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6398/771, 6209/8964 i.e 7/2303748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6398/771, 6209/8964.
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 6398/771,6209/8964?
Given fractions are 6398/771,6209/8964
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 6398/771,6209/8964, numerators are 6398,6209
Denominators are 771,8964
The GCF of 6398,6209 is 7 .
LCM of 771,8964 is 2303748.
The greatest common factor of 6398/771,6209/8964 = [GCF of 6398,6209]/[LCM of 771,8964]= 7/2303748
Therefore, the GCF of 6398/771,6209/8964 is 7/2303748.
To find the highest common factor of 6398,6209, we have to find the factors of both numbers and list the highest common factor.
The factors of 6398 are 1, 2, 7, 14, 457, 914, 3199, 6398
The factors of 6209 are 1, 7, 887, 6209
The HCF of 6398,6209 is 7.
Lets's calculate GCF of 6398,6209
| 7 | 6398, 6209 |
| 914, 887 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6398,6209 By Matching Biggest Common Factor Method
Now, list down the factors of 6398
:1,2,7,14,457,914,3199,6398
Now, list down the factors of 6209
:1,7,887,6209
Greatest Common Factor
We found the factors 6398,6209 . The biggest common factor number is the GCF number.
So the greatest common factor 6398,6209 is 7.
Lets's calculate LCM of 771,8964
| 3 | 771, 8964 |
| 257, 2988 |
∴ So the LCM of the given numbers is 3 x 257 x 2988 = 2303748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2303748
Therefore, the GCF of Fractions 6398/771,6209/8964 is 7/2303748
Least Common Multiple of 771,8964 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 771,8964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,8964) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(771,8964) x common factors =3 x 1 = 3
LCM(771,8964) = ( 771 × 8964 ) / 3
LCM(771,8964) = 6911244 / 3
LCM(771,8964) = 2303748
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FAQs on GCF of Fractions of 6398/771, 6209/8964
1. What is the HCF of 6398,6209?
The HCF of 6398,6209 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 6398/771, 6209/8964?
Answer: GCF of Numerators as per given numbers 6398/771, 6209/8964 is
GCF of Numerators i.e. for 6398,6209 is 7
LCM of denominators i.e. for 771,8964 is 2303748.
Thus, GCF of Fractions is 7/2303748.Finally, GCF of Fractions for 6398/771, 6209/8964 is 7/2303748.