Highest Common Factor of 861, 494, 213, 283 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 861, 494, 213, 283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 861, 494, 213, 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 861, 494, 213, 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 861, 494, 213, 283 is 1.
HCF(861, 494, 213, 283) = 1
HCF of 861, 494, 213, 283 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 861, 494, 213, 283 is 1.
Highest Common Factor of 861,494,213,283 is 1
Step 1: Since 861 > 494, we apply the division lemma to 861 and 494, to get
861 = 494 x 1 + 367
Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 367 and 494, to get
494 = 367 x 1 + 127
Step 3: We consider the new divisor 367 and the new remainder 127, and apply the division lemma to get
367 = 127 x 2 + 113
We consider the new divisor 127 and the new remainder 113,and apply the division lemma to get
127 = 113 x 1 + 14
We consider the new divisor 113 and the new remainder 14,and apply the division lemma to get
113 = 14 x 8 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 861 and 494 is 1
Notice that 1 = HCF(14,1) = HCF(113,14) = HCF(127,113) = HCF(367,127) = HCF(494,367) = HCF(861,494) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 213 > 1, we apply the division lemma to 213 and 1, to get
213 = 1 x 213 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 213 is 1
Notice that 1 = HCF(213,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 283 > 1, we apply the division lemma to 283 and 1, to get
283 = 1 x 283 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 283 is 1
Notice that 1 = HCF(283,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 861, 494, 213, 283 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 861, 494, 213, 283?
Answer: HCF of 861, 494, 213, 283 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 861, 494, 213, 283 using Euclid's Algorithm?
Answer: For arbitrary numbers 861, 494, 213, 283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.