GCF of 5113/984, 7076/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5113/984, 7076/554 i.e 1/272568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5113/984, 7076/554.
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 5113/984,7076/554?
Given fractions are 5113/984,7076/554
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 5113/984,7076/554, numerators are 5113,7076
Denominators are 984,554
The GCF of 5113,7076 is 1 .
LCM of 984,554 is 272568.
The greatest common factor of 5113/984,7076/554 = [GCF of 5113,7076]/[LCM of 984,554]= 1/272568
Therefore, the GCF of 5113/984,7076/554 is 1/272568.
To find the highest common factor of 5113,7076, we have to find the factors of both numbers and list the highest common factor.
The factors of 5113 are 1, 5113
The factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076
The HCF of 5113,7076 is 1.
Lets's calculate GCF of 5113,7076
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5113,7076 By Matching Biggest Common Factor Method
Now, list down the factors of 5113
:1,5113
Now, list down the factors of 7076
:1,2,4,29,58,61,116,122,244,1769,3538,7076
Greatest Common Factor
We found the factors 5113,7076 . The biggest common factor number is the GCF number.
So the greatest common factor 5113,7076 is 1.
Lets's calculate LCM of 984,554
| 2 | 984, 554 |
| 492, 277 |
∴ So the LCM of the given numbers is 2 x 492 x 277 = 272568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272568
Therefore, the GCF of Fractions 5113/984,7076/554 is 1/272568
Least Common Multiple of 984,554 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 984,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(984,554) x common factors =2 x 1 = 2
LCM(984,554) = ( 984 × 554 ) / 2
LCM(984,554) = 545136 / 2
LCM(984,554) = 272568
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5113/984, 7076/554
1. What is the HCF of 5113,7076?
The HCF of 5113,7076 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 5113/984, 7076/554?
Answer: GCF of Numerators as per given numbers 5113/984, 7076/554 is
GCF of Numerators i.e. for 5113,7076 is 1
LCM of denominators i.e. for 984,554 is 272568.
Thus, GCF of Fractions is 1/272568.Finally, GCF of Fractions for 5113/984, 7076/554 is 1/272568.