GCF of 9076/981, 3162/553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9076/981, 3162/553 i.e 2/542493 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9076/981, 3162/553.
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 9076/981,3162/553?
Given fractions are 9076/981,3162/553
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 9076/981,3162/553, numerators are 9076,3162
Denominators are 981,553
The GCF of 9076,3162 is 2 .
LCM of 981,553 is 542493.
The greatest common factor of 9076/981,3162/553 = [GCF of 9076,3162]/[LCM of 981,553]= 2/542493
Therefore, the GCF of 9076/981,3162/553 is 2/542493.
To find the highest common factor of 9076,3162, we have to find the factors of both numbers and list the highest common factor.
The factors of 9076 are 1, 2, 4, 2269, 4538, 9076
The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The HCF of 9076,3162 is 2.
Lets's calculate GCF of 9076,3162
| 2 | 9076, 3162 |
| 4538, 1581 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9076,3162 By Matching Biggest Common Factor Method
Now, list down the factors of 9076
:1,2,4,2269,4538,9076
Now, list down the factors of 3162
:1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Greatest Common Factor
We found the factors 9076,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 9076,3162 is 2.
Lets's calculate LCM of 981,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 542493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/542493
Therefore, the GCF of Fractions 9076/981,3162/553 is 2/542493
Least Common Multiple of 981,553 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 981,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,553) x common factors =1 x 1 = 1
LCM(981,553) = ( 981 × 553 ) / 1
LCM(981,553) = 542493 / 1
LCM(981,553) = 542493
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9076/981, 3162/553
1. What is the HCF of 9076,3162?
The HCF of 9076,3162 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 9076/981, 3162/553?
Answer: GCF of Numerators as per given numbers 9076/981, 3162/553 is
GCF of Numerators i.e. for 9076,3162 is 2
LCM of denominators i.e. for 981,553 is 542493.
Thus, GCF of Fractions is 2/542493.Finally, GCF of Fractions for 9076/981, 3162/553 is 2/542493.