Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/472,943/171,624/640
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 970,943,624
Greatest Common Factor of Numerators i.e. GCF of 970,943,624 is 1 .
LCM of Denominators means LCM of 472,171,640 as per the given fractions.
LCM of 472,171,640 is 6456960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 970,943,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
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
Greatest Common Factor
We found the factors 970,943,624 . The biggest common factor number is the GCF number.
So the greatest common factor 970,943,624 is 1.
Lets's calculate LCM of 472,171,640
2 | 472, 171, 640 |
2 | 236, 171, 320 |
2 | 118, 171, 160 |
59, 171, 80 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 171 x 80 = 6456960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6456960
Therefore, the GCF of Fractions 970/472,943/171,624/640 is 1/6456960
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 472,171,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,171,640) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(472,171,640) x common factors =1 x 8 = 8
LCM(472,171,640) = ( 472 × 171 × 640 ) / 8
LCM(472,171,640) = 51655680 / 8
LCM(472,171,640) = 6456960
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 970/472, 943/171, 624/640?
Answer: GCF of Numerators as per given numbers 970/472, 943/171, 624/640 is
GCF of Numerators i.e. for 970,943,624 is 1
LCM of denominators i.e. for 472,171,640 is 6456960.
Thus, GCF of Fractions is 1/6456960.Finally, GCF of Fractions for 970/472, 943/171, 624/640 is 1/6456960.