Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1062/902,2520/6527
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 1062,2520
Greatest Common Factor of Numerators i.e. GCF of 1062,2520 is 18 .
LCM of Denominators means LCM of 902,6527 as per the given fractions.
LCM of 902,6527 is 5887354 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1062,2520
2 | 1062, 2520 |
3 | 531, 1260 |
3 | 177, 420 |
59, 140 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 1062
List of positive integer factors of 1062 that divides 1062 without a remainder.
1,2,3,6,9,18,59,118,177,354,531,1062
Factors of 2520
List of positive integer factors of 2520 that divides 2520 without a remainder.
1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 1062,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 1062,2520 is 18.
Lets's calculate LCM of 902,6527
Given numbers has no common factors except 1. So, there LCM is their product i.e 5887354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/5887354
Therefore, the GCF of Fractions 1062/902,2520/6527 is 18/5887354
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 902,6527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,6527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(902,6527) x common factors =1 x 1 = 1
LCM(902,6527) = ( 902 × 6527 ) / 1
LCM(902,6527) = 5887354 / 1
LCM(902,6527) = 5887354
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 1062/902, 2520/6527?
Answer: GCF of Numerators as per given numbers 1062/902, 2520/6527 is
GCF of Numerators i.e. for 1062,2520 is 18
LCM of denominators i.e. for 902,6527 is 5887354.
Thus, GCF of Fractions is 18/5887354.Finally, GCF of Fractions for 1062/902, 2520/6527 is 18/5887354.