Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 689/558,262/540,761/688
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 689,262,761
Greatest Common Factor of Numerators i.e. GCF of 689,262,761 is 1 .
LCM of Denominators means LCM of 558,540,688 as per the given fractions.
LCM of 558,540,688 is 2879280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 689,262,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 689,262,761 . The biggest common factor number is the GCF number.
So the greatest common factor 689,262,761 is 1.
Lets's calculate LCM of 558,540,688
2 | 558, 540, 688 |
2 | 279, 270, 344 |
3 | 279, 135, 172 |
3 | 93, 45, 172 |
31, 15, 172 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 31 x 15 x 172 = 2879280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2879280
Therefore, the GCF of Fractions 689/558,262/540,761/688 is 1/2879280
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 558,540,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,540,688) = 2
common factors(in case of two or more numbers have common factors) = 36
GCF(558,540,688) x common factors =2 x 36 = 72
LCM(558,540,688) = ( 558 × 540 × 688 ) / 72
LCM(558,540,688) = 207308160 / 72
LCM(558,540,688) = 2879280
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 689/558, 262/540, 761/688?
Answer: GCF of Numerators as per given numbers 689/558, 262/540, 761/688 is
GCF of Numerators i.e. for 689,262,761 is 1
LCM of denominators i.e. for 558,540,688 is 2879280.
Thus, GCF of Fractions is 1/2879280.Finally, GCF of Fractions for 689/558, 262/540, 761/688 is 1/2879280.