GCF of 554/96, 572/301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 554/96, 572/301 i.e 2/28896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/96, 572/301.
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 554/96,572/301?
Given fractions are 554/96,572/301
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 554/96,572/301, numerators are 554,572
Denominators are 96,301
The GCF of 554,572 is 2 .
LCM of 96,301 is 28896.
The greatest common factor of 554/96,572/301 = [GCF of 554,572]/[LCM of 96,301]= 2/28896
Therefore, the GCF of 554/96,572/301 is 2/28896.
To find the highest common factor of 554,572, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The HCF of 554,572 is 2.
Lets's calculate GCF of 554,572
| 2 | 554, 572 |
| 277, 286 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 554,572 By Matching Biggest Common Factor Method
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 554,572 . The biggest common factor number is the GCF number.
So the greatest common factor 554,572 is 2.
Lets's calculate LCM of 96,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 28896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28896
Therefore, the GCF of Fractions 554/96,572/301 is 2/28896
Least Common Multiple of 96,301 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 96,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,301) x common factors =1 x 1 = 1
LCM(96,301) = ( 96 × 301 ) / 1
LCM(96,301) = 28896 / 1
LCM(96,301) = 28896
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 554/96, 572/301
1. What is the HCF of 554,572?
The HCF of 554,572 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 554/96, 572/301?
Answer: GCF of Numerators as per given numbers 554/96, 572/301 is
GCF of Numerators i.e. for 554,572 is 2
LCM of denominators i.e. for 96,301 is 28896.
Thus, GCF of Fractions is 2/28896.Finally, GCF of Fractions for 554/96, 572/301 is 2/28896.