Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/677,751/881,597/210
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 88,751,597
Greatest Common Factor of Numerators i.e. GCF of 88,751,597 is 1 .
LCM of Denominators means LCM of 677,881,210 as per the given fractions.
LCM of 677,881,210 is 125251770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,751,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Greatest Common Factor
We found the factors 88,751,597 . The biggest common factor number is the GCF number.
So the greatest common factor 88,751,597 is 1.
Lets's calculate LCM of 677,881,210
Given numbers has no common factors except 1. So, there LCM is their product i.e 125251770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125251770
Therefore, the GCF of Fractions 88/677,751/881,597/210 is 1/125251770
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 677,881,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,881,210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,881,210) x common factors =1 x 1 = 1
LCM(677,881,210) = ( 677 × 881 × 210 ) / 1
LCM(677,881,210) = 125251770 / 1
LCM(677,881,210) = 125251770
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 88/677, 751/881, 597/210?
Answer: GCF of Numerators as per given numbers 88/677, 751/881, 597/210 is
GCF of Numerators i.e. for 88,751,597 is 1
LCM of denominators i.e. for 677,881,210 is 125251770.
Thus, GCF of Fractions is 1/125251770.Finally, GCF of Fractions for 88/677, 751/881, 597/210 is 1/125251770.