Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/96,53/34,49/840,552/316
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 1,53,49,552
Greatest Common Factor of Numerators i.e. GCF of 1,53,49,552 is 1 .
LCM of Denominators means LCM of 96,34,840,316 as per the given fractions.
LCM of 96,34,840,316 is 4512480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,53,49,552
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 1,53,49,552 . The biggest common factor number is the GCF number.
So the greatest common factor 1,53,49,552 is 1.
Lets's calculate LCM of 96,34,840,316
2 | 96, 34, 840, 316 |
2 | 48, 17, 420, 158 |
2 | 24, 17, 210, 79 |
3 | 12, 17, 105, 79 |
4, 17, 35, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 17 x 35 x 79 = 4512480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4512480
Therefore, the GCF of Fractions 1/96,53/34,49/840,552/316 is 1/4512480
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 96,34,840,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,34,840,316) = 2
common factors(in case of two or more numbers have common factors) = 96
GCF(96,34,840,316) x common factors =2 x 96 = 192
LCM(96,34,840,316) = ( 96 × 34 × 840 × 316 ) / 192
LCM(96,34,840,316) = 866396160 / 192
LCM(96,34,840,316) = 4512480
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 1/96, 53/34, 49/840, 552/316?
Answer: GCF of Numerators as per given numbers 1/96, 53/34, 49/840, 552/316 is
GCF of Numerators i.e. for 1,53,49,552 is 1
LCM of denominators i.e. for 96,34,840,316 is 4512480.
Thus, GCF of Fractions is 1/4512480.Finally, GCF of Fractions for 1/96, 53/34, 49/840, 552/316 is 1/4512480.