GCF of 3042/971, 6249/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3042/971, 6249/814 i.e 3/790394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3042/971, 6249/814.
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 3042/971,6249/814?
Given fractions are 3042/971,6249/814
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 3042/971,6249/814, numerators are 3042,6249
Denominators are 971,814
The GCF of 3042,6249 is 3 .
LCM of 971,814 is 790394.
The greatest common factor of 3042/971,6249/814 = [GCF of 3042,6249]/[LCM of 971,814]= 3/790394
Therefore, the GCF of 3042/971,6249/814 is 3/790394.
To find the highest common factor of 3042,6249, we have to find the factors of both numbers and list the highest common factor.
The factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042
The factors of 6249 are 1, 3, 2083, 6249
The HCF of 3042,6249 is 3.
Lets's calculate GCF of 3042,6249
| 3 | 3042, 6249 |
| 1014, 2083 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3042,6249 By Matching Biggest Common Factor Method
Now, list down the factors of 3042
:1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042
Now, list down the factors of 6249
:1,3,2083,6249
Greatest Common Factor
We found the factors 3042,6249 . The biggest common factor number is the GCF number.
So the greatest common factor 3042,6249 is 3.
Lets's calculate LCM of 971,814
Given numbers has no common factors except 1. So, there LCM is their product i.e 790394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/790394
Therefore, the GCF of Fractions 3042/971,6249/814 is 3/790394
Least Common Multiple of 971,814 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 971,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,814) x common factors =1 x 1 = 1
LCM(971,814) = ( 971 × 814 ) / 1
LCM(971,814) = 790394 / 1
LCM(971,814) = 790394
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FAQs on GCF of Fractions of 3042/971, 6249/814
1. What is the HCF of 3042,6249?
The HCF of 3042,6249 is 3
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 3042/971, 6249/814?
Answer: GCF of Numerators as per given numbers 3042/971, 6249/814 is
GCF of Numerators i.e. for 3042,6249 is 3
LCM of denominators i.e. for 971,814 is 790394.
Thus, GCF of Fractions is 3/790394.Finally, GCF of Fractions for 3042/971, 6249/814 is 3/790394.