GCF of 3221/357, 5640/6468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3221/357, 5640/6468 i.e 1/109956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3221/357, 5640/6468.
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 3221/357,5640/6468?
Given fractions are 3221/357,5640/6468
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 3221/357,5640/6468, numerators are 3221,5640
Denominators are 357,6468
The GCF of 3221,5640 is 1 .
LCM of 357,6468 is 109956.
The greatest common factor of 3221/357,5640/6468 = [GCF of 3221,5640]/[LCM of 357,6468]= 1/109956
Therefore, the GCF of 3221/357,5640/6468 is 1/109956.
To find the highest common factor of 3221,5640, we have to find the factors of both numbers and list the highest common factor.
The factors of 3221 are 1, 3221
The factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640
The HCF of 3221,5640 is 1.
Lets's calculate GCF of 3221,5640
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3221,5640 By Matching Biggest Common Factor Method
Now, list down the factors of 3221
:1,3221
Now, list down the factors of 5640
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640
Greatest Common Factor
We found the factors 3221,5640 . The biggest common factor number is the GCF number.
So the greatest common factor 3221,5640 is 1.
Lets's calculate LCM of 357,6468
| 3 | 357, 6468 |
| 7 | 119, 2156 |
| 17, 308 |
∴ So the LCM of the given numbers is 3 x 7 x 17 x 308 = 109956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109956
Therefore, the GCF of Fractions 3221/357,5640/6468 is 1/109956
Least Common Multiple of 357,6468 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 357,6468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,6468) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(357,6468) x common factors =21 x 1 = 21
LCM(357,6468) = ( 357 × 6468 ) / 21
LCM(357,6468) = 2309076 / 21
LCM(357,6468) = 109956
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3221/357, 5640/6468
1. What is the HCF of 3221,5640?
The HCF of 3221,5640 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 3221/357, 5640/6468?
Answer: GCF of Numerators as per given numbers 3221/357, 5640/6468 is
GCF of Numerators i.e. for 3221,5640 is 1
LCM of denominators i.e. for 357,6468 is 109956.
Thus, GCF of Fractions is 1/109956.Finally, GCF of Fractions for 3221/357, 5640/6468 is 1/109956.