Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 735/105,4480/532
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 735,4480
Greatest Common Factor of Numerators i.e. GCF of 735,4480 is 35 .
LCM of Denominators means LCM of 105,532 as per the given fractions.
LCM of 105,532 is 7980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 735,4480
5 | 735, 4480 |
7 | 147, 896 |
21, 128 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 4480
List of positive integer factors of 4480 that divides 4480 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480
Greatest Common Factor
We found the factors 735,4480 . The biggest common factor number is the GCF number.
So the greatest common factor 735,4480 is 35.
Lets's calculate LCM of 105,532
7 | 105, 532 |
15, 76 |
∴ So the LCM of the given numbers is 7 x 15 x 76 = 7980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/7980
Therefore, the GCF of Fractions 735/105,4480/532 is 35/7980
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 105,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,532) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(105,532) x common factors =7 x 1 = 7
LCM(105,532) = ( 105 × 532 ) / 7
LCM(105,532) = 55860 / 7
LCM(105,532) = 7980
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 735/105, 4480/532?
Answer: GCF of Numerators as per given numbers 735/105, 4480/532 is
GCF of Numerators i.e. for 735,4480 is 35
LCM of denominators i.e. for 105,532 is 7980.
Thus, GCF of Fractions is 35/7980.Finally, GCF of Fractions for 735/105, 4480/532 is 35/7980.