GCF of 6957/336, 6160/3149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6957/336, 6160/3149 i.e 1/1058064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6957/336, 6160/3149.
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 6957/336,6160/3149?
Given fractions are 6957/336,6160/3149
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 6957/336,6160/3149, numerators are 6957,6160
Denominators are 336,3149
The GCF of 6957,6160 is 1 .
LCM of 336,3149 is 1058064.
The greatest common factor of 6957/336,6160/3149 = [GCF of 6957,6160]/[LCM of 336,3149]= 1/1058064
Therefore, the GCF of 6957/336,6160/3149 is 1/1058064.
To find the highest common factor of 6957,6160, we have to find the factors of both numbers and list the highest common factor.
The factors of 6957 are 1, 3, 9, 773, 2319, 6957
The factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160
The HCF of 6957,6160 is 1.
Lets's calculate GCF of 6957,6160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6957,6160 By Matching Biggest Common Factor Method
Now, list down the factors of 6957
:1,3,9,773,2319,6957
Now, list down the factors of 6160
:1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Greatest Common Factor
We found the factors 6957,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 6957,6160 is 1.
Lets's calculate LCM of 336,3149
Given numbers has no common factors except 1. So, there LCM is their product i.e 1058064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1058064
Therefore, the GCF of Fractions 6957/336,6160/3149 is 1/1058064
Least Common Multiple of 336,3149 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 336,3149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,3149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(336,3149) x common factors =1 x 1 = 1
LCM(336,3149) = ( 336 × 3149 ) / 1
LCM(336,3149) = 1058064 / 1
LCM(336,3149) = 1058064
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FAQs on GCF of Fractions of 6957/336, 6160/3149
1. What is the HCF of 6957,6160?
The HCF of 6957,6160 is 1
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 6957/336, 6160/3149?
Answer: GCF of Numerators as per given numbers 6957/336, 6160/3149 is
GCF of Numerators i.e. for 6957,6160 is 1
LCM of denominators i.e. for 336,3149 is 1058064.
Thus, GCF of Fractions is 1/1058064.Finally, GCF of Fractions for 6957/336, 6160/3149 is 1/1058064.