Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/20,91/53,95/29,98/770
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 70,91,95,98
Greatest Common Factor of Numerators i.e. GCF of 70,91,95,98 is 1 .
LCM of Denominators means LCM of 20,53,29,770 as per the given fractions.
LCM of 20,53,29,770 is 2366980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,91,95,98
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Greatest Common Factor
We found the factors 70,91,95,98 . The biggest common factor number is the GCF number.
So the greatest common factor 70,91,95,98 is 1.
Lets's calculate LCM of 20,53,29,770
2 | 20, 53, 29, 770 |
5 | 10, 53, 29, 385 |
2, 53, 29, 77 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 53 x 29 x 77 = 2366980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2366980
Therefore, the GCF of Fractions 70/20,91/53,95/29,98/770 is 1/2366980
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 20,53,29,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,53,29,770) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(20,53,29,770) x common factors =1 x 10 = 10
LCM(20,53,29,770) = ( 20 × 53 × 29 × 770 ) / 10
LCM(20,53,29,770) = 23669800 / 10
LCM(20,53,29,770) = 2366980
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 70/20, 91/53, 95/29, 98/770?
Answer: GCF of Numerators as per given numbers 70/20, 91/53, 95/29, 98/770 is
GCF of Numerators i.e. for 70,91,95,98 is 1
LCM of denominators i.e. for 20,53,29,770 is 2366980.
Thus, GCF of Fractions is 1/2366980.Finally, GCF of Fractions for 70/20, 91/53, 95/29, 98/770 is 1/2366980.