GCF of 6347/982, 6567/2648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6347/982, 6567/2648 i.e 11/1300168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6347/982, 6567/2648.
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 6347/982,6567/2648?
Given fractions are 6347/982,6567/2648
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 6347/982,6567/2648, numerators are 6347,6567
Denominators are 982,2648
The GCF of 6347,6567 is 11 .
LCM of 982,2648 is 1300168.
The greatest common factor of 6347/982,6567/2648 = [GCF of 6347,6567]/[LCM of 982,2648]= 11/1300168
Therefore, the GCF of 6347/982,6567/2648 is 11/1300168.
To find the highest common factor of 6347,6567, we have to find the factors of both numbers and list the highest common factor.
The factors of 6347 are 1, 11, 577, 6347
The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567
The HCF of 6347,6567 is 11.
Lets's calculate GCF of 6347,6567
| 11 | 6347, 6567 |
| 577, 597 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6347,6567 By Matching Biggest Common Factor Method
Now, list down the factors of 6347
:1,11,577,6347
Now, list down the factors of 6567
:1,3,11,33,199,597,2189,6567
Greatest Common Factor
We found the factors 6347,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 6347,6567 is 11.
Lets's calculate LCM of 982,2648
| 2 | 982, 2648 |
| 491, 1324 |
∴ So the LCM of the given numbers is 2 x 491 x 1324 = 1300168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1300168
Therefore, the GCF of Fractions 6347/982,6567/2648 is 11/1300168
Least Common Multiple of 982,2648 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 982,2648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,2648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,2648) x common factors =2 x 1 = 2
LCM(982,2648) = ( 982 × 2648 ) / 2
LCM(982,2648) = 2600336 / 2
LCM(982,2648) = 1300168
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FAQs on GCF of Fractions of 6347/982, 6567/2648
1. What is the HCF of 6347,6567?
The HCF of 6347,6567 is 11
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 6347/982, 6567/2648?
Answer: GCF of Numerators as per given numbers 6347/982, 6567/2648 is
GCF of Numerators i.e. for 6347,6567 is 11
LCM of denominators i.e. for 982,2648 is 1300168.
Thus, GCF of Fractions is 11/1300168.Finally, GCF of Fractions for 6347/982, 6567/2648 is 11/1300168.