GCF of 7083/283, 1022/2408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7083/283, 1022/2408 i.e 1/681464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7083/283, 1022/2408.
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 7083/283,1022/2408?
Given fractions are 7083/283,1022/2408
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 7083/283,1022/2408, numerators are 7083,1022
Denominators are 283,2408
The GCF of 7083,1022 is 1 .
LCM of 283,2408 is 681464.
The greatest common factor of 7083/283,1022/2408 = [GCF of 7083,1022]/[LCM of 283,2408]= 1/681464
Therefore, the GCF of 7083/283,1022/2408 is 1/681464.
To find the highest common factor of 7083,1022, we have to find the factors of both numbers and list the highest common factor.
The factors of 7083 are 1, 3, 9, 787, 2361, 7083
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022
The HCF of 7083,1022 is 1.
Lets's calculate GCF of 7083,1022
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7083,1022 By Matching Biggest Common Factor Method
Now, list down the factors of 7083
:1,3,9,787,2361,7083
Now, list down the factors of 1022
:1,2,7,14,73,146,511,1022
Greatest Common Factor
We found the factors 7083,1022 . The biggest common factor number is the GCF number.
So the greatest common factor 7083,1022 is 1.
Lets's calculate LCM of 283,2408
Given numbers has no common factors except 1. So, there LCM is their product i.e 681464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/681464
Therefore, the GCF of Fractions 7083/283,1022/2408 is 1/681464
Least Common Multiple of 283,2408 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 283,2408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,2408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,2408) x common factors =1 x 1 = 1
LCM(283,2408) = ( 283 × 2408 ) / 1
LCM(283,2408) = 681464 / 1
LCM(283,2408) = 681464
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FAQs on GCF of Fractions of 7083/283, 1022/2408
1. What is the HCF of 7083,1022?
The HCF of 7083,1022 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 7083/283, 1022/2408?
Answer: GCF of Numerators as per given numbers 7083/283, 1022/2408 is
GCF of Numerators i.e. for 7083,1022 is 1
LCM of denominators i.e. for 283,2408 is 681464.
Thus, GCF of Fractions is 1/681464.Finally, GCF of Fractions for 7083/283, 1022/2408 is 1/681464.