Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 844, 28083 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 844, 28083 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 844, 28083 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 844, 28083 is 1.
HCF(844, 28083) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 844, 28083 is 1.
Step 1: Since 28083 > 844, we apply the division lemma to 28083 and 844, to get
28083 = 844 x 33 + 231
Step 2: Since the reminder 844 ≠ 0, we apply division lemma to 231 and 844, to get
844 = 231 x 3 + 151
Step 3: We consider the new divisor 231 and the new remainder 151, and apply the division lemma to get
231 = 151 x 1 + 80
We consider the new divisor 151 and the new remainder 80,and apply the division lemma to get
151 = 80 x 1 + 71
We consider the new divisor 80 and the new remainder 71,and apply the division lemma to get
80 = 71 x 1 + 9
We consider the new divisor 71 and the new remainder 9,and apply the division lemma to get
71 = 9 x 7 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 844 and 28083 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(71,9) = HCF(80,71) = HCF(151,80) = HCF(231,151) = HCF(844,231) = HCF(28083,844) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 844, 28083?
Answer: HCF of 844, 28083 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 844, 28083 using Euclid's Algorithm?
Answer: For arbitrary numbers 844, 28083 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.