Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3648/962,7000/7179
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 3648,7000
Greatest Common Factor of Numerators i.e. GCF of 3648,7000 is 8 .
LCM of Denominators means LCM of 962,7179 as per the given fractions.
LCM of 962,7179 is 6906198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3648,7000
2 | 3648, 7000 |
2 | 1824, 3500 |
2 | 912, 1750 |
456, 875 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 3648
List of positive integer factors of 3648 that divides 3648 without a remainder.
1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648
Factors of 7000
List of positive integer factors of 7000 that divides 7000 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Greatest Common Factor
We found the factors 3648,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 3648,7000 is 8.
Lets's calculate LCM of 962,7179
Given numbers has no common factors except 1. So, there LCM is their product i.e 6906198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6906198
Therefore, the GCF of Fractions 3648/962,7000/7179 is 8/6906198
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 962,7179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,7179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(962,7179) x common factors =1 x 1 = 1
LCM(962,7179) = ( 962 × 7179 ) / 1
LCM(962,7179) = 6906198 / 1
LCM(962,7179) = 6906198
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 3648/962, 7000/7179?
Answer: GCF of Numerators as per given numbers 3648/962, 7000/7179 is
GCF of Numerators i.e. for 3648,7000 is 8
LCM of denominators i.e. for 962,7179 is 6906198.
Thus, GCF of Fractions is 8/6906198.Finally, GCF of Fractions for 3648/962, 7000/7179 is 8/6906198.