GCF of 6658/254, 6944/6796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6658/254, 6944/6796 i.e 2/863092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6658/254, 6944/6796.
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 6658/254,6944/6796?
Given fractions are 6658/254,6944/6796
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 6658/254,6944/6796, numerators are 6658,6944
Denominators are 254,6796
The GCF of 6658,6944 is 2 .
LCM of 254,6796 is 863092.
The greatest common factor of 6658/254,6944/6796 = [GCF of 6658,6944]/[LCM of 254,6796]= 2/863092
Therefore, the GCF of 6658/254,6944/6796 is 2/863092.
To find the highest common factor of 6658,6944, we have to find the factors of both numbers and list the highest common factor.
The factors of 6658 are 1, 2, 3329, 6658
The factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944
The HCF of 6658,6944 is 2.
Lets's calculate GCF of 6658,6944
| 2 | 6658, 6944 |
| 3329, 3472 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6658,6944 By Matching Biggest Common Factor Method
Now, list down the factors of 6658
:1,2,3329,6658
Now, list down the factors of 6944
:1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944
Greatest Common Factor
We found the factors 6658,6944 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,6944 is 2.
Lets's calculate LCM of 254,6796
| 2 | 254, 6796 |
| 127, 3398 |
∴ So the LCM of the given numbers is 2 x 127 x 3398 = 863092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/863092
Therefore, the GCF of Fractions 6658/254,6944/6796 is 2/863092
Least Common Multiple of 254,6796 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 254,6796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,6796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,6796) x common factors =2 x 1 = 2
LCM(254,6796) = ( 254 × 6796 ) / 2
LCM(254,6796) = 1726184 / 2
LCM(254,6796) = 863092
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FAQs on GCF of Fractions of 6658/254, 6944/6796
1. What is the HCF of 6658,6944?
The HCF of 6658,6944 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 6658/254, 6944/6796?
Answer: GCF of Numerators as per given numbers 6658/254, 6944/6796 is
GCF of Numerators i.e. for 6658,6944 is 2
LCM of denominators i.e. for 254,6796 is 863092.
Thus, GCF of Fractions is 2/863092.Finally, GCF of Fractions for 6658/254, 6944/6796 is 2/863092.