Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/67,52/59,84/630,292/729
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 6,52,84,292
Greatest Common Factor of Numerators i.e. GCF of 6,52,84,292 is 2 .
LCM of Denominators means LCM of 67,59,630,729 as per the given fractions.
LCM of 67,59,630,729 is 201721590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,52,84,292
2 | 6, 52, 84, 292 |
3, 26, 42, 146 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 6,52,84,292 . The biggest common factor number is the GCF number.
So the greatest common factor 6,52,84,292 is 2.
Lets's calculate LCM of 67,59,630,729
3 | 67, 59, 630, 729 |
3 | 67, 59, 210, 243 |
67, 59, 70, 81 |
∴ So the LCM of the given numbers is 3 x 3 x 67 x 59 x 70 x 81 = 201721590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/201721590
Therefore, the GCF of Fractions 6/67,52/59,84/630,292/729 is 2/201721590
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 67,59,630,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,59,630,729) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(67,59,630,729) x common factors =1 x 9 = 9
LCM(67,59,630,729) = ( 67 × 59 × 630 × 729 ) / 9
LCM(67,59,630,729) = 1815494310 / 9
LCM(67,59,630,729) = 201721590
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 6/67, 52/59, 84/630, 292/729?
Answer: GCF of Numerators as per given numbers 6/67, 52/59, 84/630, 292/729 is
GCF of Numerators i.e. for 6,52,84,292 is 2
LCM of denominators i.e. for 67,59,630,729 is 201721590.
Thus, GCF of Fractions is 2/201721590.Finally, GCF of Fractions for 6/67, 52/59, 84/630, 292/729 is 2/201721590.