GCF of 6964/268, 9376/901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6964/268, 9376/901 i.e 4/241468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6964/268, 9376/901.
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 6964/268,9376/901?
Given fractions are 6964/268,9376/901
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 6964/268,9376/901, numerators are 6964,9376
Denominators are 268,901
The GCF of 6964,9376 is 4 .
LCM of 268,901 is 241468.
The greatest common factor of 6964/268,9376/901 = [GCF of 6964,9376]/[LCM of 268,901]= 4/241468
Therefore, the GCF of 6964/268,9376/901 is 4/241468.
To find the highest common factor of 6964,9376, we have to find the factors of both numbers and list the highest common factor.
The factors of 6964 are 1, 2, 4, 1741, 3482, 6964
The factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376
The HCF of 6964,9376 is 4.
Lets's calculate GCF of 6964,9376
| 2 | 6964, 9376 |
| 2 | 3482, 4688 |
| 1741, 2344 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6964,9376 By Matching Biggest Common Factor Method
Now, list down the factors of 6964
:1,2,4,1741,3482,6964
Now, list down the factors of 9376
:1,2,4,8,16,32,293,586,1172,2344,4688,9376
Greatest Common Factor
We found the factors 6964,9376 . The biggest common factor number is the GCF number.
So the greatest common factor 6964,9376 is 4.
Lets's calculate LCM of 268,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 241468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/241468
Therefore, the GCF of Fractions 6964/268,9376/901 is 4/241468
Least Common Multiple of 268,901 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 268,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,901) x common factors =1 x 1 = 1
LCM(268,901) = ( 268 × 901 ) / 1
LCM(268,901) = 241468 / 1
LCM(268,901) = 241468
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FAQs on GCF of Fractions of 6964/268, 9376/901
1. What is the HCF of 6964,9376?
The HCF of 6964,9376 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 6964/268, 9376/901?
Answer: GCF of Numerators as per given numbers 6964/268, 9376/901 is
GCF of Numerators i.e. for 6964,9376 is 4
LCM of denominators i.e. for 268,901 is 241468.
Thus, GCF of Fractions is 4/241468.Finally, GCF of Fractions for 6964/268, 9376/901 is 4/241468.