GCF of 9074/477, 7486/3417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9074/477, 7486/3417 i.e 2/543303 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9074/477, 7486/3417.
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 9074/477,7486/3417?
Given fractions are 9074/477,7486/3417
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 9074/477,7486/3417, numerators are 9074,7486
Denominators are 477,3417
The GCF of 9074,7486 is 2 .
LCM of 477,3417 is 543303.
The greatest common factor of 9074/477,7486/3417 = [GCF of 9074,7486]/[LCM of 477,3417]= 2/543303
Therefore, the GCF of 9074/477,7486/3417 is 2/543303.
To find the highest common factor of 9074,7486, we have to find the factors of both numbers and list the highest common factor.
The factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074
The factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486
The HCF of 9074,7486 is 2.
Lets's calculate GCF of 9074,7486
| 2 | 9074, 7486 |
| 4537, 3743 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9074,7486 By Matching Biggest Common Factor Method
Now, list down the factors of 9074
:1,2,13,26,349,698,4537,9074
Now, list down the factors of 7486
:1,2,19,38,197,394,3743,7486
Greatest Common Factor
We found the factors 9074,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 9074,7486 is 2.
Lets's calculate LCM of 477,3417
| 3 | 477, 3417 |
| 159, 1139 |
∴ So the LCM of the given numbers is 3 x 159 x 1139 = 543303
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/543303
Therefore, the GCF of Fractions 9074/477,7486/3417 is 2/543303
Least Common Multiple of 477,3417 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 477,3417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,3417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(477,3417) x common factors =3 x 1 = 3
LCM(477,3417) = ( 477 × 3417 ) / 3
LCM(477,3417) = 1629909 / 3
LCM(477,3417) = 543303
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FAQs on GCF of Fractions of 9074/477, 7486/3417
1. What is the HCF of 9074,7486?
The HCF of 9074,7486 is 2
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 9074/477, 7486/3417?
Answer: GCF of Numerators as per given numbers 9074/477, 7486/3417 is
GCF of Numerators i.e. for 9074,7486 is 2
LCM of denominators i.e. for 477,3417 is 543303.
Thus, GCF of Fractions is 2/543303.Finally, GCF of Fractions for 9074/477, 7486/3417 is 2/543303.