GCF of 592/311, 288/691, 780/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 592/311, 288/691, 780/418 i.e 4/89828618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/311, 288/691, 780/418.
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 592/311,288/691,780/418?
Given fractions are 592/311,288/691,780/418
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 592/311,288/691,780/418, numerators are 592,288,780
Denominators are 311,691,418
The GCF of 592,288,780 is 4 .
LCM of 311,691,418 is 89828618.
The greatest common factor of 592/311,288/691,780/418 = [GCF of 592,288,780]/[LCM of 311,691,418]= 4/89828618
Therefore, the GCF of 592/311,288/691,780/418 is 4/89828618.
To find the highest common factor of 592,288,780, we have to find the factors of both numbers and list the highest common factor.
The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The HCF of 592,288,780 is 4.
Lets's calculate GCF of 592,288,780
| 2 | 592, 288, 780 |
| 2 | 296, 144, 390 |
| 148, 72, 195 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 592,288,780 By Matching Biggest Common Factor Method
Now, list down the factors of 592
:1,2,4,8,16,37,74,148,296,592
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 592,288,780 . The biggest common factor number is the GCF number.
So the greatest common factor 592,288,780 is 4.
Lets's calculate LCM of 311,691,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 89828618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/89828618
Therefore, the GCF of Fractions 592/311,288/691,780/418 is 4/89828618
Least Common Multiple of 311,691,418 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 311,691,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,691,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,691,418) x common factors =1 x 1 = 1
LCM(311,691,418) = ( 311 × 691 × 418 ) / 1
LCM(311,691,418) = 89828618 / 1
LCM(311,691,418) = 89828618
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 592/311, 288/691, 780/418
1. What is the HCF of 592,288,780?
The HCF of 592,288,780 is 4
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 592/311, 288/691, 780/418?
Answer: GCF of Numerators as per given numbers 592/311, 288/691, 780/418 is
GCF of Numerators i.e. for 592,288,780 is 4
LCM of denominators i.e. for 311,691,418 is 89828618.
Thus, GCF of Fractions is 4/89828618.Finally, GCF of Fractions for 592/311, 288/691, 780/418 is 4/89828618.