GCF of 5446/747, 6042/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5446/747, 6042/461 i.e 2/344367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5446/747, 6042/461.
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 5446/747,6042/461?
Given fractions are 5446/747,6042/461
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 5446/747,6042/461, numerators are 5446,6042
Denominators are 747,461
The GCF of 5446,6042 is 2 .
LCM of 747,461 is 344367.
The greatest common factor of 5446/747,6042/461 = [GCF of 5446,6042]/[LCM of 747,461]= 2/344367
Therefore, the GCF of 5446/747,6042/461 is 2/344367.
To find the highest common factor of 5446,6042, we have to find the factors of both numbers and list the highest common factor.
The factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446
The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042
The HCF of 5446,6042 is 2.
Lets's calculate GCF of 5446,6042
| 2 | 5446, 6042 |
| 2723, 3021 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5446,6042 By Matching Biggest Common Factor Method
Now, list down the factors of 5446
:1,2,7,14,389,778,2723,5446
Now, list down the factors of 6042
:1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042
Greatest Common Factor
We found the factors 5446,6042 . The biggest common factor number is the GCF number.
So the greatest common factor 5446,6042 is 2.
Lets's calculate LCM of 747,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 344367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/344367
Therefore, the GCF of Fractions 5446/747,6042/461 is 2/344367
Least Common Multiple of 747,461 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 747,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,461) x common factors =1 x 1 = 1
LCM(747,461) = ( 747 × 461 ) / 1
LCM(747,461) = 344367 / 1
LCM(747,461) = 344367
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FAQs on GCF of Fractions of 5446/747, 6042/461
1. What is the HCF of 5446,6042?
The HCF of 5446,6042 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 5446/747, 6042/461?
Answer: GCF of Numerators as per given numbers 5446/747, 6042/461 is
GCF of Numerators i.e. for 5446,6042 is 2
LCM of denominators i.e. for 747,461 is 344367.
Thus, GCF of Fractions is 2/344367.Finally, GCF of Fractions for 5446/747, 6042/461 is 2/344367.