Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 624/79,4424/690
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 624,4424
Greatest Common Factor of Numerators i.e. GCF of 624,4424 is 8 .
LCM of Denominators means LCM of 79,690 as per the given fractions.
LCM of 79,690 is 54510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 624,4424
2 | 624, 4424 |
2 | 312, 2212 |
2 | 156, 1106 |
78, 553 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 4424
List of positive integer factors of 4424 that divides 4424 without a remainder.
1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424
Greatest Common Factor
We found the factors 624,4424 . The biggest common factor number is the GCF number.
So the greatest common factor 624,4424 is 8.
Lets's calculate LCM of 79,690
Given numbers has no common factors except 1. So, there LCM is their product i.e 54510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/54510
Therefore, the GCF of Fractions 624/79,4424/690 is 8/54510
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 79,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,690) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,690) x common factors =1 x 1 = 1
LCM(79,690) = ( 79 × 690 ) / 1
LCM(79,690) = 54510 / 1
LCM(79,690) = 54510
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 624/79, 4424/690?
Answer: GCF of Numerators as per given numbers 624/79, 4424/690 is
GCF of Numerators i.e. for 624,4424 is 8
LCM of denominators i.e. for 79,690 is 54510.
Thus, GCF of Fractions is 8/54510.Finally, GCF of Fractions for 624/79, 4424/690 is 8/54510.