GCF of 931/41, 2303/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 931/41, 2303/978 i.e 49/40098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/41, 2303/978.
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 931/41,2303/978?
Given fractions are 931/41,2303/978
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 931/41,2303/978, numerators are 931,2303
Denominators are 41,978
The GCF of 931,2303 is 49 .
LCM of 41,978 is 40098.
The greatest common factor of 931/41,2303/978 = [GCF of 931,2303]/[LCM of 41,978]= 49/40098
Therefore, the GCF of 931/41,2303/978 is 49/40098.
To find the highest common factor of 931,2303, we have to find the factors of both numbers and list the highest common factor.
The factors of 931 are 1, 7, 19, 49, 133, 931
The factors of 2303 are 1, 7, 47, 49, 329, 2303
The HCF of 931,2303 is 49.
Lets's calculate GCF of 931,2303
| 7 | 931, 2303 |
| 7 | 133, 329 |
| 19, 47 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 931,2303 By Matching Biggest Common Factor Method
Now, list down the factors of 931
:1,7,19,49,133,931
Now, list down the factors of 2303
:1,7,47,49,329,2303
Greatest Common Factor
We found the factors 931,2303 . The biggest common factor number is the GCF number.
So the greatest common factor 931,2303 is 49.
Lets's calculate LCM of 41,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 40098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/40098
Therefore, the GCF of Fractions 931/41,2303/978 is 49/40098
Least Common Multiple of 41,978 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 41,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,978) x common factors =1 x 1 = 1
LCM(41,978) = ( 41 × 978 ) / 1
LCM(41,978) = 40098 / 1
LCM(41,978) = 40098
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FAQs on GCF of Fractions of 931/41, 2303/978
1. What is the HCF of 931,2303?
The HCF of 931,2303 is 49
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 931/41, 2303/978?
Answer: GCF of Numerators as per given numbers 931/41, 2303/978 is
GCF of Numerators i.e. for 931,2303 is 49
LCM of denominators i.e. for 41,978 is 40098.
Thus, GCF of Fractions is 49/40098.Finally, GCF of Fractions for 931/41, 2303/978 is 49/40098.