Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 698/268,1972/282
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 698,1972
Greatest Common Factor of Numerators i.e. GCF of 698,1972 is 2 .
LCM of Denominators means LCM of 268,282 as per the given fractions.
LCM of 268,282 is 37788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 698,1972
2 | 698, 1972 |
349, 986 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 1972
List of positive integer factors of 1972 that divides 1972 without a remainder.
1,2,4,17,29,34,58,68,116,493,986,1972
Greatest Common Factor
We found the factors 698,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 698,1972 is 2.
Lets's calculate LCM of 268,282
2 | 268, 282 |
134, 141 |
∴ So the LCM of the given numbers is 2 x 134 x 141 = 37788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37788
Therefore, the GCF of Fractions 698/268,1972/282 is 2/37788
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 268,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,282) x common factors =2 x 1 = 2
LCM(268,282) = ( 268 × 282 ) / 2
LCM(268,282) = 75576 / 2
LCM(268,282) = 37788
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 698/268, 1972/282?
Answer: GCF of Numerators as per given numbers 698/268, 1972/282 is
GCF of Numerators i.e. for 698,1972 is 2
LCM of denominators i.e. for 268,282 is 37788.
Thus, GCF of Fractions is 2/37788.Finally, GCF of Fractions for 698/268, 1972/282 is 2/37788.