GCF of 68/715, 578/248, 840/940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 68/715, 578/248, 840/940 i.e 2/8334040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/715, 578/248, 840/940.
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 68/715,578/248,840/940?
Given fractions are 68/715,578/248,840/940
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 68/715,578/248,840/940, numerators are 68,578,840
Denominators are 715,248,940
The GCF of 68,578,840 is 2 .
LCM of 715,248,940 is 8334040.
The greatest common factor of 68/715,578/248,840/940 = [GCF of 68,578,840]/[LCM of 715,248,940]= 2/8334040
Therefore, the GCF of 68/715,578/248,840/940 is 2/8334040.
To find the highest common factor of 68,578,840, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 578 are 1, 2, 17, 34, 289, 578
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The HCF of 68,578,840 is 2.
Lets's calculate GCF of 68,578,840
| 2 | 68, 578, 840 |
| 34, 289, 420 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 68,578,840 By Matching Biggest Common Factor Method
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 578
:1,2,17,34,289,578
Now, list down the factors of 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 68,578,840 . The biggest common factor number is the GCF number.
So the greatest common factor 68,578,840 is 2.
Lets's calculate LCM of 715,248,940
| 2 | 715, 248, 940 |
| 2 | 715, 124, 470 |
| 5 | 715, 62, 235 |
| 143, 62, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 143 x 62 x 47 = 8334040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8334040
Therefore, the GCF of Fractions 68/715,578/248,840/940 is 2/8334040
Least Common Multiple of 715,248,940 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 715,248,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,248,940) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(715,248,940) x common factors =1 x 20 = 20
LCM(715,248,940) = ( 715 × 248 × 940 ) / 20
LCM(715,248,940) = 166680800 / 20
LCM(715,248,940) = 8334040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 68/715, 578/248, 840/940
1. What is the HCF of 68,578,840?
The HCF of 68,578,840 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 68/715, 578/248, 840/940?
Answer: GCF of Numerators as per given numbers 68/715, 578/248, 840/940 is
GCF of Numerators i.e. for 68,578,840 is 2
LCM of denominators i.e. for 715,248,940 is 8334040.
Thus, GCF of Fractions is 2/8334040.Finally, GCF of Fractions for 68/715, 578/248, 840/940 is 2/8334040.