Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4480/767,9079/8410
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 4480,9079
Greatest Common Factor of Numerators i.e. GCF of 4480,9079 is 7 .
LCM of Denominators means LCM of 767,8410 as per the given fractions.
LCM of 767,8410 is 6450470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4480,9079
7 | 4480, 9079 |
640, 1297 |
∴ So the GCF of the given numbers is 7 = 7
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
Factors of 9079
List of positive integer factors of 9079 that divides 9079 without a remainder.
1,7,1297,9079
Greatest Common Factor
We found the factors 4480,9079 . The biggest common factor number is the GCF number.
So the greatest common factor 4480,9079 is 7.
Lets's calculate LCM of 767,8410
Given numbers has no common factors except 1. So, there LCM is their product i.e 6450470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6450470
Therefore, the GCF of Fractions 4480/767,9079/8410 is 7/6450470
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 767,8410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,8410) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,8410) x common factors =1 x 1 = 1
LCM(767,8410) = ( 767 × 8410 ) / 1
LCM(767,8410) = 6450470 / 1
LCM(767,8410) = 6450470
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 4480/767, 9079/8410?
Answer: GCF of Numerators as per given numbers 4480/767, 9079/8410 is
GCF of Numerators i.e. for 4480,9079 is 7
LCM of denominators i.e. for 767,8410 is 6450470.
Thus, GCF of Fractions is 7/6450470.Finally, GCF of Fractions for 4480/767, 9079/8410 is 7/6450470.