GCF of 283/205, 616/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 283/205, 616/667 i.e 1/136735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 283/205, 616/667.
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 283/205,616/667?
Given fractions are 283/205,616/667
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 283/205,616/667, numerators are 283,616
Denominators are 205,667
The GCF of 283,616 is 1 .
LCM of 205,667 is 136735.
The greatest common factor of 283/205,616/667 = [GCF of 283,616]/[LCM of 205,667]= 1/136735
Therefore, the GCF of 283/205,616/667 is 1/136735.
To find the highest common factor of 283,616, we have to find the factors of both numbers and list the highest common factor.
The factors of 283 are 1, 283
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 283,616 is 1.
Lets's calculate GCF of 283,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 283,616 By Matching Biggest Common Factor Method
Now, list down the factors of 283
:1,283
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 283,616 . The biggest common factor number is the GCF number.
So the greatest common factor 283,616 is 1.
Lets's calculate LCM of 205,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 136735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136735
Therefore, the GCF of Fractions 283/205,616/667 is 1/136735
Least Common Multiple of 205,667 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 205,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,667) x common factors =1 x 1 = 1
LCM(205,667) = ( 205 × 667 ) / 1
LCM(205,667) = 136735 / 1
LCM(205,667) = 136735
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FAQs on GCF of Fractions of 283/205, 616/667
1. What is the HCF of 283,616?
The HCF of 283,616 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 283/205, 616/667?
Answer: GCF of Numerators as per given numbers 283/205, 616/667 is
GCF of Numerators i.e. for 283,616 is 1
LCM of denominators i.e. for 205,667 is 136735.
Thus, GCF of Fractions is 1/136735.Finally, GCF of Fractions for 283/205, 616/667 is 1/136735.