GCF of 976/74, 445/631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/74, 445/631 i.e 1/46694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/74, 445/631.
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 976/74,445/631?
Given fractions are 976/74,445/631
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 976/74,445/631, numerators are 976,445
Denominators are 74,631
The GCF of 976,445 is 1 .
LCM of 74,631 is 46694.
The greatest common factor of 976/74,445/631 = [GCF of 976,445]/[LCM of 74,631]= 1/46694
Therefore, the GCF of 976/74,445/631 is 1/46694.
To find the highest common factor of 976,445, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 445 are 1, 5, 89, 445
The HCF of 976,445 is 1.
Lets's calculate GCF of 976,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 976,445 By Matching Biggest Common Factor Method
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 445
:1,5,89,445
Greatest Common Factor
We found the factors 976,445 . The biggest common factor number is the GCF number.
So the greatest common factor 976,445 is 1.
Lets's calculate LCM of 74,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 46694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46694
Therefore, the GCF of Fractions 976/74,445/631 is 1/46694
Least Common Multiple of 74,631 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 74,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,631) x common factors =1 x 1 = 1
LCM(74,631) = ( 74 × 631 ) / 1
LCM(74,631) = 46694 / 1
LCM(74,631) = 46694
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FAQs on GCF of Fractions of 976/74, 445/631
1. What is the HCF of 976,445?
The HCF of 976,445 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 976/74, 445/631?
Answer: GCF of Numerators as per given numbers 976/74, 445/631 is
GCF of Numerators i.e. for 976,445 is 1
LCM of denominators i.e. for 74,631 is 46694.
Thus, GCF of Fractions is 1/46694.Finally, GCF of Fractions for 976/74, 445/631 is 1/46694.