Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 924/737,614/565,852/506
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 924,614,852
Greatest Common Factor of Numerators i.e. GCF of 924,614,852 is 2 .
LCM of Denominators means LCM of 737,565,506 as per the given fractions.
LCM of 737,565,506 is 19154630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 924,614,852
2 | 924, 614, 852 |
462, 307, 426 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 924,614,852 . The biggest common factor number is the GCF number.
So the greatest common factor 924,614,852 is 2.
Lets's calculate LCM of 737,565,506
11 | 737, 565, 506 |
67, 565, 46 |
∴ So the LCM of the given numbers is 11 x 67 x 565 x 46 = 19154630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19154630
Therefore, the GCF of Fractions 924/737,614/565,852/506 is 2/19154630
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 737,565,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,565,506) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(737,565,506) x common factors =1 x 11 = 11
LCM(737,565,506) = ( 737 × 565 × 506 ) / 11
LCM(737,565,506) = 210700930 / 11
LCM(737,565,506) = 19154630
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 924/737, 614/565, 852/506?
Answer: GCF of Numerators as per given numbers 924/737, 614/565, 852/506 is
GCF of Numerators i.e. for 924,614,852 is 2
LCM of denominators i.e. for 737,565,506 is 19154630.
Thus, GCF of Fractions is 2/19154630.Finally, GCF of Fractions for 924/737, 614/565, 852/506 is 2/19154630.