GCF of 294/342, 656/303, 360/801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 294/342, 656/303, 360/801 i.e 2/3074238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/342, 656/303, 360/801.
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 294/342,656/303,360/801?
Given fractions are 294/342,656/303,360/801
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 294/342,656/303,360/801, numerators are 294,656,360
Denominators are 342,303,801
The GCF of 294,656,360 is 2 .
LCM of 342,303,801 is 3074238.
The greatest common factor of 294/342,656/303,360/801 = [GCF of 294,656,360]/[LCM of 342,303,801]= 2/3074238
Therefore, the GCF of 294/342,656/303,360/801 is 2/3074238.
To find the highest common factor of 294,656,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 294,656,360 is 2.
Lets's calculate GCF of 294,656,360
| 2 | 294, 656, 360 |
| 147, 328, 180 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 294,656,360 By Matching Biggest Common Factor Method
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 294,656,360 . The biggest common factor number is the GCF number.
So the greatest common factor 294,656,360 is 2.
Lets's calculate LCM of 342,303,801
| 3 | 342, 303, 801 |
| 3 | 114, 101, 267 |
| 38, 101, 89 |
∴ So the LCM of the given numbers is 3 x 3 x 38 x 101 x 89 = 3074238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3074238
Therefore, the GCF of Fractions 294/342,656/303,360/801 is 2/3074238
Least Common Multiple of 342,303,801 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 342,303,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,303,801) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(342,303,801) x common factors =3 x 9 = 27
LCM(342,303,801) = ( 342 × 303 × 801 ) / 27
LCM(342,303,801) = 83004426 / 27
LCM(342,303,801) = 3074238
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FAQs on GCF of Fractions of 294/342, 656/303, 360/801
1. What is the HCF of 294,656,360?
The HCF of 294,656,360 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 294/342, 656/303, 360/801?
Answer: GCF of Numerators as per given numbers 294/342, 656/303, 360/801 is
GCF of Numerators i.e. for 294,656,360 is 2
LCM of denominators i.e. for 342,303,801 is 3074238.
Thus, GCF of Fractions is 2/3074238.Finally, GCF of Fractions for 294/342, 656/303, 360/801 is 2/3074238.