Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/97,78/136,542/448
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 22,78,542
Greatest Common Factor of Numerators i.e. GCF of 22,78,542 is 2 .
LCM of Denominators means LCM of 97,136,448 as per the given fractions.
LCM of 97,136,448 is 738752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 22,78,542
2 | 22, 78, 542 |
11, 39, 271 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 22,78,542 . The biggest common factor number is the GCF number.
So the greatest common factor 22,78,542 is 2.
Lets's calculate LCM of 97,136,448
2 | 97, 136, 448 |
2 | 97, 68, 224 |
2 | 97, 34, 112 |
97, 17, 56 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 17 x 56 = 738752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/738752
Therefore, the GCF of Fractions 22/97,78/136,542/448 is 2/738752
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 97,136,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,136,448) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(97,136,448) x common factors =1 x 8 = 8
LCM(97,136,448) = ( 97 × 136 × 448 ) / 8
LCM(97,136,448) = 5910016 / 8
LCM(97,136,448) = 738752
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 22/97, 78/136, 542/448?
Answer: GCF of Numerators as per given numbers 22/97, 78/136, 542/448 is
GCF of Numerators i.e. for 22,78,542 is 2
LCM of denominators i.e. for 97,136,448 is 738752.
Thus, GCF of Fractions is 2/738752.Finally, GCF of Fractions for 22/97, 78/136, 542/448 is 2/738752.