Use our free GCF of Fractions Calculator tool to compute the GCF of 672/898, 480/155 i.e 96/139190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/898, 480/155.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 672/898,480/155
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 672/898,480/155, numerators are 672,480
Denominators are 898,155
The GCF of 672,480 is 96 .
LCM of 898,155 is 139190.
The greatest common factor of 672/898,480/155 = [GCF of 672,480]/[LCM of 898,155]= 96/139190
Therefore, the GCF of 672/898,480/155 is 96/139190.
To find the highest common factor of 672,480, we have to find the factors of both numbers and list the highest common factor.
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The HCF of 672,480 is 96.
Lets's calculate GCF of 672,480
2 | 672, 480 |
2 | 336, 240 |
2 | 168, 120 |
2 | 84, 60 |
2 | 42, 30 |
3 | 21, 15 |
7, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 672,480 . The biggest common factor number is the GCF number.
So the greatest common factor 672,480 is 96.
Lets's calculate LCM of 898,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 139190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 96/139190
Therefore, the GCF of Fractions 672/898,480/155 is 96/139190
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 898,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(898,155) x common factors =1 x 1 = 1
LCM(898,155) = ( 898 × 155 ) / 1
LCM(898,155) = 139190 / 1
LCM(898,155) = 139190
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 672,480?
The HCF of 672,480 is 96
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 672/898, 480/155?
Answer: GCF of Numerators as per given numbers 672/898, 480/155 is
GCF of Numerators i.e. for 672,480 is 96
LCM of denominators i.e. for 898,155 is 139190.
Thus, GCF of Fractions is 96/139190.Finally, GCF of Fractions for 672/898, 480/155 is 96/139190.