Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6840/79,3481/565
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 6840,3481
Greatest Common Factor of Numerators i.e. GCF of 6840,3481 is 1 .
LCM of Denominators means LCM of 79,565 as per the given fractions.
LCM of 79,565 is 44635 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6840,3481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6840
List of positive integer factors of 6840 that divides 6840 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,30,36,38,40,45,57,60,72,76,90,95,114,120,152,171,180,190,228,285,342,360,380,456,570,684,760,855,1140,1368,1710,2280,3420,6840
Factors of 3481
List of positive integer factors of 3481 that divides 3481 without a remainder.
1,59,3481
Greatest Common Factor
We found the factors 6840,3481 . The biggest common factor number is the GCF number.
So the greatest common factor 6840,3481 is 1.
Lets's calculate LCM of 79,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 44635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44635
Therefore, the GCF of Fractions 6840/79,3481/565 is 1/44635
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 79,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,565) x common factors =1 x 1 = 1
LCM(79,565) = ( 79 × 565 ) / 1
LCM(79,565) = 44635 / 1
LCM(79,565) = 44635
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 6840/79, 3481/565?
Answer: GCF of Numerators as per given numbers 6840/79, 3481/565 is
GCF of Numerators i.e. for 6840,3481 is 1
LCM of denominators i.e. for 79,565 is 44635.
Thus, GCF of Fractions is 1/44635.Finally, GCF of Fractions for 6840/79, 3481/565 is 1/44635.