Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 708/1740,690/8664
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 708,690
Greatest Common Factor of Numerators i.e. GCF of 708,690 is 6 .
LCM of Denominators means LCM of 1740,8664 as per the given fractions.
LCM of 1740,8664 is 1256280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 708,690
2 | 708, 690 |
3 | 354, 345 |
118, 115 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 708,690 . The biggest common factor number is the GCF number.
So the greatest common factor 708,690 is 6.
Lets's calculate LCM of 1740,8664
2 | 1740, 8664 |
2 | 870, 4332 |
3 | 435, 2166 |
145, 722 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 145 x 722 = 1256280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1256280
Therefore, the GCF of Fractions 708/1740,690/8664 is 6/1256280
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 1740,8664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1740,8664) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(1740,8664) x common factors =12 x 1 = 12
LCM(1740,8664) = ( 1740 × 8664 ) / 12
LCM(1740,8664) = 15075360 / 12
LCM(1740,8664) = 1256280
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 708/1740, 690/8664?
Answer: GCF of Numerators as per given numbers 708/1740, 690/8664 is
GCF of Numerators i.e. for 708,690 is 6
LCM of denominators i.e. for 1740,8664 is 1256280.
Thus, GCF of Fractions is 6/1256280.Finally, GCF of Fractions for 708/1740, 690/8664 is 6/1256280.