Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/224,870/860,175/703
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 250,870,175
Greatest Common Factor of Numerators i.e. GCF of 250,870,175 is 5 .
LCM of Denominators means LCM of 224,860,703 as per the given fractions.
LCM of 224,860,703 is 33856480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 250,870,175
5 | 250, 870, 175 |
50, 174, 35 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 250,870,175 . The biggest common factor number is the GCF number.
So the greatest common factor 250,870,175 is 5.
Lets's calculate LCM of 224,860,703
2 | 224, 860, 703 |
2 | 112, 430, 703 |
56, 215, 703 |
∴ So the LCM of the given numbers is 2 x 2 x 56 x 215 x 703 = 33856480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/33856480
Therefore, the GCF of Fractions 250/224,870/860,175/703 is 5/33856480
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 224,860,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,860,703) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(224,860,703) x common factors =1 x 4 = 4
LCM(224,860,703) = ( 224 × 860 × 703 ) / 4
LCM(224,860,703) = 135425920 / 4
LCM(224,860,703) = 33856480
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 250/224, 870/860, 175/703?
Answer: GCF of Numerators as per given numbers 250/224, 870/860, 175/703 is
GCF of Numerators i.e. for 250,870,175 is 5
LCM of denominators i.e. for 224,860,703 is 33856480.
Thus, GCF of Fractions is 5/33856480.Finally, GCF of Fractions for 250/224, 870/860, 175/703 is 5/33856480.