GCF of 1082/531, 3646/3940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1082/531, 3646/3940 i.e 2/2092140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1082/531, 3646/3940.
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 1082/531,3646/3940?
Given fractions are 1082/531,3646/3940
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 1082/531,3646/3940, numerators are 1082,3646
Denominators are 531,3940
The GCF of 1082,3646 is 2 .
LCM of 531,3940 is 2092140.
The greatest common factor of 1082/531,3646/3940 = [GCF of 1082,3646]/[LCM of 531,3940]= 2/2092140
Therefore, the GCF of 1082/531,3646/3940 is 2/2092140.
To find the highest common factor of 1082,3646, we have to find the factors of both numbers and list the highest common factor.
The factors of 1082 are 1, 2, 541, 1082
The factors of 3646 are 1, 2, 1823, 3646
The HCF of 1082,3646 is 2.
Lets's calculate GCF of 1082,3646
| 2 | 1082, 3646 |
| 541, 1823 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1082,3646 By Matching Biggest Common Factor Method
Now, list down the factors of 1082
:1,2,541,1082
Now, list down the factors of 3646
:1,2,1823,3646
Greatest Common Factor
We found the factors 1082,3646 . The biggest common factor number is the GCF number.
So the greatest common factor 1082,3646 is 2.
Lets's calculate LCM of 531,3940
Given numbers has no common factors except 1. So, there LCM is their product i.e 2092140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2092140
Therefore, the GCF of Fractions 1082/531,3646/3940 is 2/2092140
Least Common Multiple of 531,3940 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 531,3940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,3940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(531,3940) x common factors =1 x 1 = 1
LCM(531,3940) = ( 531 × 3940 ) / 1
LCM(531,3940) = 2092140 / 1
LCM(531,3940) = 2092140
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1082/531, 3646/3940
1. What is the HCF of 1082,3646?
The HCF of 1082,3646 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 1082/531, 3646/3940?
Answer: GCF of Numerators as per given numbers 1082/531, 3646/3940 is
GCF of Numerators i.e. for 1082,3646 is 2
LCM of denominators i.e. for 531,3940 is 2092140.
Thus, GCF of Fractions is 2/2092140.Finally, GCF of Fractions for 1082/531, 3646/3940 is 2/2092140.