Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 980/642,1692/112
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 980,1692
Greatest Common Factor of Numerators i.e. GCF of 980,1692 is 4 .
LCM of Denominators means LCM of 642,112 as per the given fractions.
LCM of 642,112 is 35952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 980,1692
2 | 980, 1692 |
2 | 490, 846 |
245, 423 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 1692
List of positive integer factors of 1692 that divides 1692 without a remainder.
1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Greatest Common Factor
We found the factors 980,1692 . The biggest common factor number is the GCF number.
So the greatest common factor 980,1692 is 4.
Lets's calculate LCM of 642,112
2 | 642, 112 |
321, 56 |
∴ So the LCM of the given numbers is 2 x 321 x 56 = 35952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35952
Therefore, the GCF of Fractions 980/642,1692/112 is 4/35952
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 642,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,112) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,112) x common factors =2 x 1 = 2
LCM(642,112) = ( 642 × 112 ) / 2
LCM(642,112) = 71904 / 2
LCM(642,112) = 35952
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 980/642, 1692/112?
Answer: GCF of Numerators as per given numbers 980/642, 1692/112 is
GCF of Numerators i.e. for 980,1692 is 4
LCM of denominators i.e. for 642,112 is 35952.
Thus, GCF of Fractions is 4/35952.Finally, GCF of Fractions for 980/642, 1692/112 is 4/35952.