GCF of 9250/494, 8807/954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9250/494, 8807/954 i.e 1/235638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9250/494, 8807/954.
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 9250/494,8807/954?
Given fractions are 9250/494,8807/954
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 9250/494,8807/954, numerators are 9250,8807
Denominators are 494,954
The GCF of 9250,8807 is 1 .
LCM of 494,954 is 235638.
The greatest common factor of 9250/494,8807/954 = [GCF of 9250,8807]/[LCM of 494,954]= 1/235638
Therefore, the GCF of 9250/494,8807/954 is 1/235638.
To find the highest common factor of 9250,8807, we have to find the factors of both numbers and list the highest common factor.
The factors of 9250 are 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250
The factors of 8807 are 1, 8807
The HCF of 9250,8807 is 1.
Lets's calculate GCF of 9250,8807
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9250,8807 By Matching Biggest Common Factor Method
Now, list down the factors of 9250
:1,2,5,10,25,37,50,74,125,185,250,370,925,1850,4625,9250
Now, list down the factors of 8807
:1,8807
Greatest Common Factor
We found the factors 9250,8807 . The biggest common factor number is the GCF number.
So the greatest common factor 9250,8807 is 1.
Lets's calculate LCM of 494,954
| 2 | 494, 954 |
| 247, 477 |
∴ So the LCM of the given numbers is 2 x 247 x 477 = 235638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235638
Therefore, the GCF of Fractions 9250/494,8807/954 is 1/235638
Least Common Multiple of 494,954 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 494,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,954) x common factors =2 x 1 = 2
LCM(494,954) = ( 494 × 954 ) / 2
LCM(494,954) = 471276 / 2
LCM(494,954) = 235638
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FAQs on GCF of Fractions of 9250/494, 8807/954
1. What is the HCF of 9250,8807?
The HCF of 9250,8807 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 9250/494, 8807/954?
Answer: GCF of Numerators as per given numbers 9250/494, 8807/954 is
GCF of Numerators i.e. for 9250,8807 is 1
LCM of denominators i.e. for 494,954 is 235638.
Thus, GCF of Fractions is 1/235638.Finally, GCF of Fractions for 9250/494, 8807/954 is 1/235638.