Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/44,8253/946
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 420,8253
Greatest Common Factor of Numerators i.e. GCF of 420,8253 is 21 .
LCM of Denominators means LCM of 44,946 as per the given fractions.
LCM of 44,946 is 1892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,8253
3 | 420, 8253 |
7 | 140, 2751 |
20, 393 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 8253
List of positive integer factors of 8253 that divides 8253 without a remainder.
1,3,7,9,21,63,131,393,917,1179,2751,8253
Greatest Common Factor
We found the factors 420,8253 . The biggest common factor number is the GCF number.
So the greatest common factor 420,8253 is 21.
Lets's calculate LCM of 44,946
2 | 44, 946 |
11 | 22, 473 |
2, 43 |
∴ So the LCM of the given numbers is 2 x 11 x 2 x 43 = 1892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1892
Therefore, the GCF of Fractions 420/44,8253/946 is 21/1892
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 44,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,946) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(44,946) x common factors =22 x 1 = 22
LCM(44,946) = ( 44 × 946 ) / 22
LCM(44,946) = 41624 / 22
LCM(44,946) = 1892
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 420/44, 8253/946?
Answer: GCF of Numerators as per given numbers 420/44, 8253/946 is
GCF of Numerators i.e. for 420,8253 is 21
LCM of denominators i.e. for 44,946 is 1892.
Thus, GCF of Fractions is 21/1892.Finally, GCF of Fractions for 420/44, 8253/946 is 21/1892.