GCF of 6578/655, 7536/7997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6578/655, 7536/7997 i.e 2/5238035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6578/655, 7536/7997.
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 6578/655,7536/7997?
Given fractions are 6578/655,7536/7997
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 6578/655,7536/7997, numerators are 6578,7536
Denominators are 655,7997
The GCF of 6578,7536 is 2 .
LCM of 655,7997 is 5238035.
The greatest common factor of 6578/655,7536/7997 = [GCF of 6578,7536]/[LCM of 655,7997]= 2/5238035
Therefore, the GCF of 6578/655,7536/7997 is 2/5238035.
To find the highest common factor of 6578,7536, we have to find the factors of both numbers and list the highest common factor.
The factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578
The factors of 7536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536
The HCF of 6578,7536 is 2.
Lets's calculate GCF of 6578,7536
| 2 | 6578, 7536 |
| 3289, 3768 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6578,7536 By Matching Biggest Common Factor Method
Now, list down the factors of 6578
:1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578
Now, list down the factors of 7536
:1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Greatest Common Factor
We found the factors 6578,7536 . The biggest common factor number is the GCF number.
So the greatest common factor 6578,7536 is 2.
Lets's calculate LCM of 655,7997
Given numbers has no common factors except 1. So, there LCM is their product i.e 5238035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5238035
Therefore, the GCF of Fractions 6578/655,7536/7997 is 2/5238035
Least Common Multiple of 655,7997 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 655,7997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,7997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,7997) x common factors =1 x 1 = 1
LCM(655,7997) = ( 655 × 7997 ) / 1
LCM(655,7997) = 5238035 / 1
LCM(655,7997) = 5238035
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FAQs on GCF of Fractions of 6578/655, 7536/7997
1. What is the HCF of 6578,7536?
The HCF of 6578,7536 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 6578/655, 7536/7997?
Answer: GCF of Numerators as per given numbers 6578/655, 7536/7997 is
GCF of Numerators i.e. for 6578,7536 is 2
LCM of denominators i.e. for 655,7997 is 5238035.
Thus, GCF of Fractions is 2/5238035.Finally, GCF of Fractions for 6578/655, 7536/7997 is 2/5238035.