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 729, 283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 729, 283 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 729, 283 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 729, 283 is 1.
HCF(729, 283) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 729, 283 is 1.
Step 1: Since 729 > 283, we apply the division lemma to 729 and 283, to get
729 = 283 x 2 + 163
Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 163 and 283, to get
283 = 163 x 1 + 120
Step 3: We consider the new divisor 163 and the new remainder 120, and apply the division lemma to get
163 = 120 x 1 + 43
We consider the new divisor 120 and the new remainder 43,and apply the division lemma to get
120 = 43 x 2 + 34
We consider the new divisor 43 and the new remainder 34,and apply the division lemma to get
43 = 34 x 1 + 9
We consider the new divisor 34 and the new remainder 9,and apply the division lemma to get
34 = 9 x 3 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 729 and 283 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(34,9) = HCF(43,34) = HCF(120,43) = HCF(163,120) = HCF(283,163) = HCF(729,283) .
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 729, 283?
Answer: HCF of 729, 283 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 729, 283 using Euclid's Algorithm?
Answer: For arbitrary numbers 729, 283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.