GCF of 9425/974, 1545/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9425/974, 1545/178 i.e 5/86686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9425/974, 1545/178.
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 9425/974,1545/178?
Given fractions are 9425/974,1545/178
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 9425/974,1545/178, numerators are 9425,1545
Denominators are 974,178
The GCF of 9425,1545 is 5 .
LCM of 974,178 is 86686.
The greatest common factor of 9425/974,1545/178 = [GCF of 9425,1545]/[LCM of 974,178]= 5/86686
Therefore, the GCF of 9425/974,1545/178 is 5/86686.
To find the highest common factor of 9425,1545, we have to find the factors of both numbers and list the highest common factor.
The factors of 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425
The factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545
The HCF of 9425,1545 is 5.
Lets's calculate GCF of 9425,1545
| 5 | 9425, 1545 |
| 1885, 309 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9425,1545 By Matching Biggest Common Factor Method
Now, list down the factors of 9425
:1,5,13,25,29,65,145,325,377,725,1885,9425
Now, list down the factors of 1545
:1,3,5,15,103,309,515,1545
Greatest Common Factor
We found the factors 9425,1545 . The biggest common factor number is the GCF number.
So the greatest common factor 9425,1545 is 5.
Lets's calculate LCM of 974,178
| 2 | 974, 178 |
| 487, 89 |
∴ So the LCM of the given numbers is 2 x 487 x 89 = 86686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/86686
Therefore, the GCF of Fractions 9425/974,1545/178 is 5/86686
Least Common Multiple of 974,178 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 974,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,178) x common factors =2 x 1 = 2
LCM(974,178) = ( 974 × 178 ) / 2
LCM(974,178) = 173372 / 2
LCM(974,178) = 86686
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FAQs on GCF of Fractions of 9425/974, 1545/178
1. What is the HCF of 9425,1545?
The HCF of 9425,1545 is 5
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 9425/974, 1545/178?
Answer: GCF of Numerators as per given numbers 9425/974, 1545/178 is
GCF of Numerators i.e. for 9425,1545 is 5
LCM of denominators i.e. for 974,178 is 86686.
Thus, GCF of Fractions is 5/86686.Finally, GCF of Fractions for 9425/974, 1545/178 is 5/86686.