Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 924/28,763/40,769/651
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 924,763,769
Greatest Common Factor of Numerators i.e. GCF of 924,763,769 is 1 .
LCM of Denominators means LCM of 28,40,651 as per the given fractions.
LCM of 28,40,651 is 26040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 924,763,769
∴ So GCF of numbers is 1 because of no common factors present between them.
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 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Greatest Common Factor
We found the factors 924,763,769 . The biggest common factor number is the GCF number.
So the greatest common factor 924,763,769 is 1.
Lets's calculate LCM of 28,40,651
2 | 28, 40, 651 |
2 | 14, 20, 651 |
7 | 7, 10, 651 |
1, 10, 93 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 10 x 93 = 26040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26040
Therefore, the GCF of Fractions 924/28,763/40,769/651 is 1/26040
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 28,40,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,40,651) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(28,40,651) x common factors =1 x 28 = 28
LCM(28,40,651) = ( 28 × 40 × 651 ) / 28
LCM(28,40,651) = 729120 / 28
LCM(28,40,651) = 26040
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 924/28, 763/40, 769/651?
Answer: GCF of Numerators as per given numbers 924/28, 763/40, 769/651 is
GCF of Numerators i.e. for 924,763,769 is 1
LCM of denominators i.e. for 28,40,651 is 26040.
Thus, GCF of Fractions is 1/26040.Finally, GCF of Fractions for 924/28, 763/40, 769/651 is 1/26040.