GCF of 4780/423, 1342/8411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4780/423, 1342/8411 i.e 2/3557853 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4780/423, 1342/8411.
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 4780/423,1342/8411?
Given fractions are 4780/423,1342/8411
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 4780/423,1342/8411, numerators are 4780,1342
Denominators are 423,8411
The GCF of 4780,1342 is 2 .
LCM of 423,8411 is 3557853.
The greatest common factor of 4780/423,1342/8411 = [GCF of 4780,1342]/[LCM of 423,8411]= 2/3557853
Therefore, the GCF of 4780/423,1342/8411 is 2/3557853.
To find the highest common factor of 4780,1342, we have to find the factors of both numbers and list the highest common factor.
The factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780
The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342
The HCF of 4780,1342 is 2.
Lets's calculate GCF of 4780,1342
| 2 | 4780, 1342 |
| 2390, 671 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4780,1342 By Matching Biggest Common Factor Method
Now, list down the factors of 4780
:1,2,4,5,10,20,239,478,956,1195,2390,4780
Now, list down the factors of 1342
:1,2,11,22,61,122,671,1342
Greatest Common Factor
We found the factors 4780,1342 . The biggest common factor number is the GCF number.
So the greatest common factor 4780,1342 is 2.
Lets's calculate LCM of 423,8411
Given numbers has no common factors except 1. So, there LCM is their product i.e 3557853
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3557853
Therefore, the GCF of Fractions 4780/423,1342/8411 is 2/3557853
Least Common Multiple of 423,8411 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 423,8411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,8411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(423,8411) x common factors =1 x 1 = 1
LCM(423,8411) = ( 423 × 8411 ) / 1
LCM(423,8411) = 3557853 / 1
LCM(423,8411) = 3557853
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FAQs on GCF of Fractions of 4780/423, 1342/8411
1. What is the HCF of 4780,1342?
The HCF of 4780,1342 is 2
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 4780/423, 1342/8411?
Answer: GCF of Numerators as per given numbers 4780/423, 1342/8411 is
GCF of Numerators i.e. for 4780,1342 is 2
LCM of denominators i.e. for 423,8411 is 3557853.
Thus, GCF of Fractions is 2/3557853.Finally, GCF of Fractions for 4780/423, 1342/8411 is 2/3557853.