GCF of 731/321, 553/927, 802/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 731/321, 553/927, 802/540 i.e 1/5951340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/321, 553/927, 802/540.
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 731/321,553/927,802/540?
Given fractions are 731/321,553/927,802/540
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 731/321,553/927,802/540, numerators are 731,553,802
Denominators are 321,927,540
The GCF of 731,553,802 is 1 .
LCM of 321,927,540 is 5951340.
The greatest common factor of 731/321,553/927,802/540 = [GCF of 731,553,802]/[LCM of 321,927,540]= 1/5951340
Therefore, the GCF of 731/321,553/927,802/540 is 1/5951340.
To find the highest common factor of 731,553,802, we have to find the factors of both numbers and list the highest common factor.
The factors of 731 are 1, 17, 43, 731
The factors of 553 are 1, 7, 79, 553
The factors of 802 are 1, 2, 401, 802
The HCF of 731,553,802 is 1.
Lets's calculate GCF of 731,553,802
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 731,553,802 By Matching Biggest Common Factor Method
Now, list down the factors of 731
:1,17,43,731
Now, list down the factors of 553
:1,7,79,553
Now, list down the factors of 802
:1,2,401,802
Greatest Common Factor
We found the factors 731,553,802 . The biggest common factor number is the GCF number.
So the greatest common factor 731,553,802 is 1.
Lets's calculate LCM of 321,927,540
| 3 | 321, 927, 540 |
| 3 | 107, 309, 180 |
| 107, 103, 60 |
∴ So the LCM of the given numbers is 3 x 3 x 107 x 103 x 60 = 5951340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5951340
Therefore, the GCF of Fractions 731/321,553/927,802/540 is 1/5951340
Least Common Multiple of 321,927,540 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 321,927,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,927,540) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(321,927,540) x common factors =3 x 9 = 27
LCM(321,927,540) = ( 321 × 927 × 540 ) / 27
LCM(321,927,540) = 160686180 / 27
LCM(321,927,540) = 5951340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 731/321, 553/927, 802/540
1. What is the HCF of 731,553,802?
The HCF of 731,553,802 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 731/321, 553/927, 802/540?
Answer: GCF of Numerators as per given numbers 731/321, 553/927, 802/540 is
GCF of Numerators i.e. for 731,553,802 is 1
LCM of denominators i.e. for 321,927,540 is 5951340.
Thus, GCF of Fractions is 1/5951340.Finally, GCF of Fractions for 731/321, 553/927, 802/540 is 1/5951340.