Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 902/610,707/634,728/121
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 902,707,728
Greatest Common Factor of Numerators i.e. GCF of 902,707,728 is 1 .
LCM of Denominators means LCM of 610,634,121 as per the given fractions.
LCM of 610,634,121 is 23397770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 902,707,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 902,707,728 . The biggest common factor number is the GCF number.
So the greatest common factor 902,707,728 is 1.
Lets's calculate LCM of 610,634,121
2 | 610, 634, 121 |
305, 317, 121 |
∴ So the LCM of the given numbers is 2 x 305 x 317 x 121 = 23397770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23397770
Therefore, the GCF of Fractions 902/610,707/634,728/121 is 1/23397770
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 610,634,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,634,121) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(610,634,121) x common factors =1 x 2 = 2
LCM(610,634,121) = ( 610 × 634 × 121 ) / 2
LCM(610,634,121) = 46795540 / 2
LCM(610,634,121) = 23397770
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 902/610, 707/634, 728/121?
Answer: GCF of Numerators as per given numbers 902/610, 707/634, 728/121 is
GCF of Numerators i.e. for 902,707,728 is 1
LCM of denominators i.e. for 610,634,121 is 23397770.
Thus, GCF of Fractions is 1/23397770.Finally, GCF of Fractions for 902/610, 707/634, 728/121 is 1/23397770.