Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6696/670,3763/988
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 6696,3763
Greatest Common Factor of Numerators i.e. GCF of 6696,3763 is 1 .
LCM of Denominators means LCM of 670,988 as per the given fractions.
LCM of 670,988 is 330980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6696,3763
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6696
List of positive integer factors of 6696 that divides 6696 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696
Factors of 3763
List of positive integer factors of 3763 that divides 3763 without a remainder.
1,53,71,3763
Greatest Common Factor
We found the factors 6696,3763 . The biggest common factor number is the GCF number.
So the greatest common factor 6696,3763 is 1.
Lets's calculate LCM of 670,988
2 | 670, 988 |
335, 494 |
∴ So the LCM of the given numbers is 2 x 335 x 494 = 330980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330980
Therefore, the GCF of Fractions 6696/670,3763/988 is 1/330980
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 670,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,988) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,988) x common factors =2 x 1 = 2
LCM(670,988) = ( 670 × 988 ) / 2
LCM(670,988) = 661960 / 2
LCM(670,988) = 330980
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 6696/670, 3763/988?
Answer: GCF of Numerators as per given numbers 6696/670, 3763/988 is
GCF of Numerators i.e. for 6696,3763 is 1
LCM of denominators i.e. for 670,988 is 330980.
Thus, GCF of Fractions is 1/330980.Finally, GCF of Fractions for 6696/670, 3763/988 is 1/330980.