GCF of 6524/128, 6982/6989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6524/128, 6982/6989 i.e 2/894592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6524/128, 6982/6989.
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 6524/128,6982/6989?
Given fractions are 6524/128,6982/6989
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 6524/128,6982/6989, numerators are 6524,6982
Denominators are 128,6989
The GCF of 6524,6982 is 2 .
LCM of 128,6989 is 894592.
The greatest common factor of 6524/128,6982/6989 = [GCF of 6524,6982]/[LCM of 128,6989]= 2/894592
Therefore, the GCF of 6524/128,6982/6989 is 2/894592.
To find the highest common factor of 6524,6982, we have to find the factors of both numbers and list the highest common factor.
The factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524
The factors of 6982 are 1, 2, 3491, 6982
The HCF of 6524,6982 is 2.
Lets's calculate GCF of 6524,6982
| 2 | 6524, 6982 |
| 3262, 3491 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6524,6982 By Matching Biggest Common Factor Method
Now, list down the factors of 6524
:1,2,4,7,14,28,233,466,932,1631,3262,6524
Now, list down the factors of 6982
:1,2,3491,6982
Greatest Common Factor
We found the factors 6524,6982 . The biggest common factor number is the GCF number.
So the greatest common factor 6524,6982 is 2.
Lets's calculate LCM of 128,6989
Given numbers has no common factors except 1. So, there LCM is their product i.e 894592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/894592
Therefore, the GCF of Fractions 6524/128,6982/6989 is 2/894592
Least Common Multiple of 128,6989 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 128,6989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,6989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,6989) x common factors =1 x 1 = 1
LCM(128,6989) = ( 128 × 6989 ) / 1
LCM(128,6989) = 894592 / 1
LCM(128,6989) = 894592
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FAQs on GCF of Fractions of 6524/128, 6982/6989
1. What is the HCF of 6524,6982?
The HCF of 6524,6982 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 6524/128, 6982/6989?
Answer: GCF of Numerators as per given numbers 6524/128, 6982/6989 is
GCF of Numerators i.e. for 6524,6982 is 2
LCM of denominators i.e. for 128,6989 is 894592.
Thus, GCF of Fractions is 2/894592.Finally, GCF of Fractions for 6524/128, 6982/6989 is 2/894592.