GCF of 6676/579, 1036/1278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6676/579, 1036/1278 i.e 4/246654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6676/579, 1036/1278.
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 6676/579,1036/1278?
Given fractions are 6676/579,1036/1278
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 6676/579,1036/1278, numerators are 6676,1036
Denominators are 579,1278
The GCF of 6676,1036 is 4 .
LCM of 579,1278 is 246654.
The greatest common factor of 6676/579,1036/1278 = [GCF of 6676,1036]/[LCM of 579,1278]= 4/246654
Therefore, the GCF of 6676/579,1036/1278 is 4/246654.
To find the highest common factor of 6676,1036, we have to find the factors of both numbers and list the highest common factor.
The factors of 6676 are 1, 2, 4, 1669, 3338, 6676
The factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036
The HCF of 6676,1036 is 4.
Lets's calculate GCF of 6676,1036
| 2 | 6676, 1036 |
| 2 | 3338, 518 |
| 1669, 259 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6676,1036 By Matching Biggest Common Factor Method
Now, list down the factors of 6676
:1,2,4,1669,3338,6676
Now, list down the factors of 1036
:1,2,4,7,14,28,37,74,148,259,518,1036
Greatest Common Factor
We found the factors 6676,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 6676,1036 is 4.
Lets's calculate LCM of 579,1278
| 3 | 579, 1278 |
| 193, 426 |
∴ So the LCM of the given numbers is 3 x 193 x 426 = 246654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/246654
Therefore, the GCF of Fractions 6676/579,1036/1278 is 4/246654
Least Common Multiple of 579,1278 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 579,1278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,1278) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,1278) x common factors =3 x 1 = 3
LCM(579,1278) = ( 579 × 1278 ) / 3
LCM(579,1278) = 739962 / 3
LCM(579,1278) = 246654
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FAQs on GCF of Fractions of 6676/579, 1036/1278
1. What is the HCF of 6676,1036?
The HCF of 6676,1036 is 4
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 6676/579, 1036/1278?
Answer: GCF of Numerators as per given numbers 6676/579, 1036/1278 is
GCF of Numerators i.e. for 6676,1036 is 4
LCM of denominators i.e. for 579,1278 is 246654.
Thus, GCF of Fractions is 4/246654.Finally, GCF of Fractions for 6676/579, 1036/1278 is 4/246654.