Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/870,69/754,835/456
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 90,69,835
Greatest Common Factor of Numerators i.e. GCF of 90,69,835 is 1 .
LCM of Denominators means LCM of 870,754,456 as per the given fractions.
LCM of 870,754,456 is 859560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,69,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 90,69,835 . The biggest common factor number is the GCF number.
So the greatest common factor 90,69,835 is 1.
Lets's calculate LCM of 870,754,456
2 | 870, 754, 456 |
3 | 435, 377, 228 |
29 | 145, 377, 76 |
5, 13, 76 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 5 x 13 x 76 = 859560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/859560
Therefore, the GCF of Fractions 90/870,69/754,835/456 is 1/859560
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 870,754,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,754,456) = 2
common factors(in case of two or more numbers have common factors) = 174
GCF(870,754,456) x common factors =2 x 174 = 348
LCM(870,754,456) = ( 870 × 754 × 456 ) / 348
LCM(870,754,456) = 299126880 / 348
LCM(870,754,456) = 859560
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 90/870, 69/754, 835/456?
Answer: GCF of Numerators as per given numbers 90/870, 69/754, 835/456 is
GCF of Numerators i.e. for 90,69,835 is 1
LCM of denominators i.e. for 870,754,456 is 859560.
Thus, GCF of Fractions is 1/859560.Finally, GCF of Fractions for 90/870, 69/754, 835/456 is 1/859560.