Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 140/680,495/896
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 140,495
Greatest Common Factor of Numerators i.e. GCF of 140,495 is 5 .
LCM of Denominators means LCM of 680,896 as per the given fractions.
LCM of 680,896 is 76160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 140,495
5 | 140, 495 |
28, 99 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 140,495 . The biggest common factor number is the GCF number.
So the greatest common factor 140,495 is 5.
Lets's calculate LCM of 680,896
2 | 680, 896 |
2 | 340, 448 |
2 | 170, 224 |
85, 112 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 85 x 112 = 76160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/76160
Therefore, the GCF of Fractions 140/680,495/896 is 5/76160
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 680,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,896) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(680,896) x common factors =8 x 1 = 8
LCM(680,896) = ( 680 × 896 ) / 8
LCM(680,896) = 609280 / 8
LCM(680,896) = 76160
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 140/680, 495/896?
Answer: GCF of Numerators as per given numbers 140/680, 495/896 is
GCF of Numerators i.e. for 140,495 is 5
LCM of denominators i.e. for 680,896 is 76160.
Thus, GCF of Fractions is 5/76160.Finally, GCF of Fractions for 140/680, 495/896 is 5/76160.