Highest Common Factor of 283, 811, 862, 826 using Euclid's algorithm
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 283, 811, 862, 826 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 283, 811, 862, 826 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 283, 811, 862, 826 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 283, 811, 862, 826 is 1.
HCF(283, 811, 862, 826) = 1
HCF of 283, 811, 862, 826 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 283, 811, 862, 826 is 1.
Highest Common Factor of 283,811,862,826 is 1
Step 1: Since 811 > 283, we apply the division lemma to 811 and 283, to get
811 = 283 x 2 + 245
Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 245 and 283, to get
283 = 245 x 1 + 38
Step 3: We consider the new divisor 245 and the new remainder 38, and apply the division lemma to get
245 = 38 x 6 + 17
We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get
38 = 17 x 2 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 283 and 811 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(245,38) = HCF(283,245) = HCF(811,283) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 862 > 1, we apply the division lemma to 862 and 1, to get
862 = 1 x 862 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 862 is 1
Notice that 1 = HCF(862,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 826 > 1, we apply the division lemma to 826 and 1, to get
826 = 1 x 826 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 826 is 1
Notice that 1 = HCF(826,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 283, 811, 862, 826 using Euclid's Algorithm
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 283, 811, 862, 826?
Answer: HCF of 283, 811, 862, 826 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 283, 811, 862, 826 using Euclid's Algorithm?
Answer: For arbitrary numbers 283, 811, 862, 826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.