Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 824/767,496/489,840/340
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 824,496,840
Greatest Common Factor of Numerators i.e. GCF of 824,496,840 is 8 .
LCM of Denominators means LCM of 767,489,340 as per the given fractions.
LCM of 767,489,340 is 127521420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 824,496,840
2 | 824, 496, 840 |
2 | 412, 248, 420 |
2 | 206, 124, 210 |
103, 62, 105 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
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 824,496,840 . The biggest common factor number is the GCF number.
So the greatest common factor 824,496,840 is 8.
Lets's calculate LCM of 767,489,340
Given numbers has no common factors except 1. So, there LCM is their product i.e 127521420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/127521420
Therefore, the GCF of Fractions 824/767,496/489,840/340 is 8/127521420
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 767,489,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,489,340) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,489,340) x common factors =1 x 1 = 1
LCM(767,489,340) = ( 767 × 489 × 340 ) / 1
LCM(767,489,340) = 127521420 / 1
LCM(767,489,340) = 127521420
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 824/767, 496/489, 840/340?
Answer: GCF of Numerators as per given numbers 824/767, 496/489, 840/340 is
GCF of Numerators i.e. for 824,496,840 is 8
LCM of denominators i.e. for 767,489,340 is 127521420.
Thus, GCF of Fractions is 8/127521420.Finally, GCF of Fractions for 824/767, 496/489, 840/340 is 8/127521420.