GCF of 4741/684, 7230/6414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4741/684, 7230/6414 i.e 1/731196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4741/684, 7230/6414.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4741/684,7230/6414?
Given fractions are 4741/684,7230/6414
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4741/684,7230/6414, numerators are 4741,7230
Denominators are 684,6414
The GCF of 4741,7230 is 1 .
LCM of 684,6414 is 731196.
The greatest common factor of 4741/684,7230/6414 = [GCF of 4741,7230]/[LCM of 684,6414]= 1/731196
Therefore, the GCF of 4741/684,7230/6414 is 1/731196.
To find the highest common factor of 4741,7230, we have to find the factors of both numbers and list the highest common factor.
The factors of 4741 are 1, 11, 431, 4741
The factors of 7230 are 1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230
The HCF of 4741,7230 is 1.
Lets's calculate GCF of 4741,7230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4741,7230 By Matching Biggest Common Factor Method
Now, list down the factors of 4741
:1,11,431,4741
Now, list down the factors of 7230
:1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230
Greatest Common Factor
We found the factors 4741,7230 . The biggest common factor number is the GCF number.
So the greatest common factor 4741,7230 is 1.
Lets's calculate LCM of 684,6414
| 2 | 684, 6414 |
| 3 | 342, 3207 |
| 114, 1069 |
∴ So the LCM of the given numbers is 2 x 3 x 114 x 1069 = 731196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/731196
Therefore, the GCF of Fractions 4741/684,7230/6414 is 1/731196
Least Common Multiple of 684,6414 with GCF Formula
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 684,6414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,6414) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(684,6414) x common factors =6 x 1 = 6
LCM(684,6414) = ( 684 × 6414 ) / 6
LCM(684,6414) = 4387176 / 6
LCM(684,6414) = 731196
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FAQs on GCF of Fractions of 4741/684, 7230/6414
1. What is the HCF of 4741,7230?
The HCF of 4741,7230 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 4741/684, 7230/6414?
Answer: GCF of Numerators as per given numbers 4741/684, 7230/6414 is
GCF of Numerators i.e. for 4741,7230 is 1
LCM of denominators i.e. for 684,6414 is 731196.
Thus, GCF of Fractions is 1/731196.Finally, GCF of Fractions for 4741/684, 7230/6414 is 1/731196.