GCF of 1150/974, 8940/8445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1150/974, 8940/8445 i.e 10/8225430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1150/974, 8940/8445.
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 1150/974,8940/8445?
Given fractions are 1150/974,8940/8445
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 1150/974,8940/8445, numerators are 1150,8940
Denominators are 974,8445
The GCF of 1150,8940 is 10 .
LCM of 974,8445 is 8225430.
The greatest common factor of 1150/974,8940/8445 = [GCF of 1150,8940]/[LCM of 974,8445]= 10/8225430
Therefore, the GCF of 1150/974,8940/8445 is 10/8225430.
To find the highest common factor of 1150,8940, we have to find the factors of both numbers and list the highest common factor.
The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
The factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940
The HCF of 1150,8940 is 10.
Lets's calculate GCF of 1150,8940
| 2 | 1150, 8940 |
| 5 | 575, 4470 |
| 115, 894 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1150,8940 By Matching Biggest Common Factor Method
Now, list down the factors of 1150
:1,2,5,10,23,25,46,50,115,230,575,1150
Now, list down the factors of 8940
:1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Greatest Common Factor
We found the factors 1150,8940 . The biggest common factor number is the GCF number.
So the greatest common factor 1150,8940 is 10.
Lets's calculate LCM of 974,8445
Given numbers has no common factors except 1. So, there LCM is their product i.e 8225430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/8225430
Therefore, the GCF of Fractions 1150/974,8940/8445 is 10/8225430
Least Common Multiple of 974,8445 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 974,8445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,8445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(974,8445) x common factors =1 x 1 = 1
LCM(974,8445) = ( 974 × 8445 ) / 1
LCM(974,8445) = 8225430 / 1
LCM(974,8445) = 8225430
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FAQs on GCF of Fractions of 1150/974, 8940/8445
1. What is the HCF of 1150,8940?
The HCF of 1150,8940 is 10
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 1150/974, 8940/8445?
Answer: GCF of Numerators as per given numbers 1150/974, 8940/8445 is
GCF of Numerators i.e. for 1150,8940 is 10
LCM of denominators i.e. for 974,8445 is 8225430.
Thus, GCF of Fractions is 10/8225430.Finally, GCF of Fractions for 1150/974, 8940/8445 is 10/8225430.