GCF of 6146/639, 5780/5792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6146/639, 5780/5792 i.e 2/3701088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6146/639, 5780/5792.
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 6146/639,5780/5792?
Given fractions are 6146/639,5780/5792
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 6146/639,5780/5792, numerators are 6146,5780
Denominators are 639,5792
The GCF of 6146,5780 is 2 .
LCM of 639,5792 is 3701088.
The greatest common factor of 6146/639,5780/5792 = [GCF of 6146,5780]/[LCM of 639,5792]= 2/3701088
Therefore, the GCF of 6146/639,5780/5792 is 2/3701088.
To find the highest common factor of 6146,5780, we have to find the factors of both numbers and list the highest common factor.
The factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146
The factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780
The HCF of 6146,5780 is 2.
Lets's calculate GCF of 6146,5780
| 2 | 6146, 5780 |
| 3073, 2890 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6146,5780 By Matching Biggest Common Factor Method
Now, list down the factors of 6146
:1,2,7,14,439,878,3073,6146
Now, list down the factors of 5780
:1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780
Greatest Common Factor
We found the factors 6146,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 6146,5780 is 2.
Lets's calculate LCM of 639,5792
Given numbers has no common factors except 1. So, there LCM is their product i.e 3701088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3701088
Therefore, the GCF of Fractions 6146/639,5780/5792 is 2/3701088
Least Common Multiple of 639,5792 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 639,5792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,5792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,5792) x common factors =1 x 1 = 1
LCM(639,5792) = ( 639 × 5792 ) / 1
LCM(639,5792) = 3701088 / 1
LCM(639,5792) = 3701088
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FAQs on GCF of Fractions of 6146/639, 5780/5792
1. What is the HCF of 6146,5780?
The HCF of 6146,5780 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 6146/639, 5780/5792?
Answer: GCF of Numerators as per given numbers 6146/639, 5780/5792 is
GCF of Numerators i.e. for 6146,5780 is 2
LCM of denominators i.e. for 639,5792 is 3701088.
Thus, GCF of Fractions is 2/3701088.Finally, GCF of Fractions for 6146/639, 5780/5792 is 2/3701088.