GCF of 1146/160, 6964/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1146/160, 6964/269 i.e 2/43040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1146/160, 6964/269.
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 1146/160,6964/269?
Given fractions are 1146/160,6964/269
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 1146/160,6964/269, numerators are 1146,6964
Denominators are 160,269
The GCF of 1146,6964 is 2 .
LCM of 160,269 is 43040.
The greatest common factor of 1146/160,6964/269 = [GCF of 1146,6964]/[LCM of 160,269]= 2/43040
Therefore, the GCF of 1146/160,6964/269 is 2/43040.
To find the highest common factor of 1146,6964, we have to find the factors of both numbers and list the highest common factor.
The factors of 1146 are 1, 2, 3, 6, 191, 382, 573, 1146
The factors of 6964 are 1, 2, 4, 1741, 3482, 6964
The HCF of 1146,6964 is 2.
Lets's calculate GCF of 1146,6964
| 2 | 1146, 6964 |
| 573, 3482 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1146,6964 By Matching Biggest Common Factor Method
Now, list down the factors of 1146
:1,2,3,6,191,382,573,1146
Now, list down the factors of 6964
:1,2,4,1741,3482,6964
Greatest Common Factor
We found the factors 1146,6964 . The biggest common factor number is the GCF number.
So the greatest common factor 1146,6964 is 2.
Lets's calculate LCM of 160,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 43040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43040
Therefore, the GCF of Fractions 1146/160,6964/269 is 2/43040
Least Common Multiple of 160,269 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 160,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,269) x common factors =1 x 1 = 1
LCM(160,269) = ( 160 × 269 ) / 1
LCM(160,269) = 43040 / 1
LCM(160,269) = 43040
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FAQs on GCF of Fractions of 1146/160, 6964/269
1. What is the HCF of 1146,6964?
The HCF of 1146,6964 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 1146/160, 6964/269?
Answer: GCF of Numerators as per given numbers 1146/160, 6964/269 is
GCF of Numerators i.e. for 1146,6964 is 2
LCM of denominators i.e. for 160,269 is 43040.
Thus, GCF of Fractions is 2/43040.Finally, GCF of Fractions for 1146/160, 6964/269 is 2/43040.