GCF of 2067/361, 1022/1747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2067/361, 1022/1747 i.e 1/630667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2067/361, 1022/1747.
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 2067/361,1022/1747?
Given fractions are 2067/361,1022/1747
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 2067/361,1022/1747, numerators are 2067,1022
Denominators are 361,1747
The GCF of 2067,1022 is 1 .
LCM of 361,1747 is 630667.
The greatest common factor of 2067/361,1022/1747 = [GCF of 2067,1022]/[LCM of 361,1747]= 1/630667
Therefore, the GCF of 2067/361,1022/1747 is 1/630667.
To find the highest common factor of 2067,1022, we have to find the factors of both numbers and list the highest common factor.
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022
The HCF of 2067,1022 is 1.
Lets's calculate GCF of 2067,1022
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2067,1022 By Matching Biggest Common Factor Method
Now, list down the factors of 2067
:1,3,13,39,53,159,689,2067
Now, list down the factors of 1022
:1,2,7,14,73,146,511,1022
Greatest Common Factor
We found the factors 2067,1022 . The biggest common factor number is the GCF number.
So the greatest common factor 2067,1022 is 1.
Lets's calculate LCM of 361,1747
Given numbers has no common factors except 1. So, there LCM is their product i.e 630667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630667
Therefore, the GCF of Fractions 2067/361,1022/1747 is 1/630667
Least Common Multiple of 361,1747 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 361,1747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,1747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,1747) x common factors =1 x 1 = 1
LCM(361,1747) = ( 361 × 1747 ) / 1
LCM(361,1747) = 630667 / 1
LCM(361,1747) = 630667
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2067/361, 1022/1747
1. What is the HCF of 2067,1022?
The HCF of 2067,1022 is 1
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 2067/361, 1022/1747?
Answer: GCF of Numerators as per given numbers 2067/361, 1022/1747 is
GCF of Numerators i.e. for 2067,1022 is 1
LCM of denominators i.e. for 361,1747 is 630667.
Thus, GCF of Fractions is 1/630667.Finally, GCF of Fractions for 2067/361, 1022/1747 is 1/630667.