GCF of 9761/380, 1156/3115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9761/380, 1156/3115 i.e 1/236740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9761/380, 1156/3115.
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 9761/380,1156/3115?
Given fractions are 9761/380,1156/3115
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 9761/380,1156/3115, numerators are 9761,1156
Denominators are 380,3115
The GCF of 9761,1156 is 1 .
LCM of 380,3115 is 236740.
The greatest common factor of 9761/380,1156/3115 = [GCF of 9761,1156]/[LCM of 380,3115]= 1/236740
Therefore, the GCF of 9761/380,1156/3115 is 1/236740.
To find the highest common factor of 9761,1156, we have to find the factors of both numbers and list the highest common factor.
The factors of 9761 are 1, 43, 227, 9761
The factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156
The HCF of 9761,1156 is 1.
Lets's calculate GCF of 9761,1156
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9761,1156 By Matching Biggest Common Factor Method
Now, list down the factors of 9761
:1,43,227,9761
Now, list down the factors of 1156
:1,2,4,17,34,68,289,578,1156
Greatest Common Factor
We found the factors 9761,1156 . The biggest common factor number is the GCF number.
So the greatest common factor 9761,1156 is 1.
Lets's calculate LCM of 380,3115
| 5 | 380, 3115 |
| 76, 623 |
∴ So the LCM of the given numbers is 5 x 76 x 623 = 236740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236740
Therefore, the GCF of Fractions 9761/380,1156/3115 is 1/236740
Least Common Multiple of 380,3115 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 380,3115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,3115) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(380,3115) x common factors =5 x 1 = 5
LCM(380,3115) = ( 380 × 3115 ) / 5
LCM(380,3115) = 1183700 / 5
LCM(380,3115) = 236740
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FAQs on GCF of Fractions of 9761/380, 1156/3115
1. What is the HCF of 9761,1156?
The HCF of 9761,1156 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 9761/380, 1156/3115?
Answer: GCF of Numerators as per given numbers 9761/380, 1156/3115 is
GCF of Numerators i.e. for 9761,1156 is 1
LCM of denominators i.e. for 380,3115 is 236740.
Thus, GCF of Fractions is 1/236740.Finally, GCF of Fractions for 9761/380, 1156/3115 is 1/236740.