Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7920/842,1400/909
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 7920,1400
Greatest Common Factor of Numerators i.e. GCF of 7920,1400 is 40 .
LCM of Denominators means LCM of 842,909 as per the given fractions.
LCM of 842,909 is 765378 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7920,1400
2 | 7920, 1400 |
2 | 3960, 700 |
2 | 1980, 350 |
5 | 990, 175 |
198, 35 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Factors of 7920
List of positive integer factors of 7920 that divides 7920 without a remainder.
1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920
Factors of 1400
List of positive integer factors of 1400 that divides 1400 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400
Greatest Common Factor
We found the factors 7920,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 7920,1400 is 40.
Lets's calculate LCM of 842,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 765378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/765378
Therefore, the GCF of Fractions 7920/842,1400/909 is 40/765378
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 842,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,909) x common factors =1 x 1 = 1
LCM(842,909) = ( 842 × 909 ) / 1
LCM(842,909) = 765378 / 1
LCM(842,909) = 765378
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 7920/842, 1400/909?
Answer: GCF of Numerators as per given numbers 7920/842, 1400/909 is
GCF of Numerators i.e. for 7920,1400 is 40
LCM of denominators i.e. for 842,909 is 765378.
Thus, GCF of Fractions is 40/765378.Finally, GCF of Fractions for 7920/842, 1400/909 is 40/765378.