Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/710,472/638,140/643
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 420,472,140
Greatest Common Factor of Numerators i.e. GCF of 420,472,140 is 4 .
LCM of Denominators means LCM of 710,638,643 as per the given fractions.
LCM of 710,638,643 is 145633070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,472,140
2 | 420, 472, 140 |
2 | 210, 236, 70 |
105, 118, 35 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 420,472,140 . The biggest common factor number is the GCF number.
So the greatest common factor 420,472,140 is 4.
Lets's calculate LCM of 710,638,643
2 | 710, 638, 643 |
355, 319, 643 |
∴ So the LCM of the given numbers is 2 x 355 x 319 x 643 = 145633070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/145633070
Therefore, the GCF of Fractions 420/710,472/638,140/643 is 4/145633070
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 710,638,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,638,643) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(710,638,643) x common factors =1 x 2 = 2
LCM(710,638,643) = ( 710 × 638 × 643 ) / 2
LCM(710,638,643) = 291266140 / 2
LCM(710,638,643) = 145633070
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 420/710, 472/638, 140/643?
Answer: GCF of Numerators as per given numbers 420/710, 472/638, 140/643 is
GCF of Numerators i.e. for 420,472,140 is 4
LCM of denominators i.e. for 710,638,643 is 145633070.
Thus, GCF of Fractions is 4/145633070.Finally, GCF of Fractions for 420/710, 472/638, 140/643 is 4/145633070.