Highest Common Factor of 466, 834 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 466, 834 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 466, 834 is 2 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 466, 834 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 466, 834 is 2.
HCF(466, 834) = 2
HCF of 466, 834 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 466, 834 is 2.
Highest Common Factor of 466,834 is 2
Step 1: Since 834 > 466, we apply the division lemma to 834 and 466, to get
834 = 466 x 1 + 368
Step 2: Since the reminder 466 ≠ 0, we apply division lemma to 368 and 466, to get
466 = 368 x 1 + 98
Step 3: We consider the new divisor 368 and the new remainder 98, and apply the division lemma to get
368 = 98 x 3 + 74
We consider the new divisor 98 and the new remainder 74,and apply the division lemma to get
98 = 74 x 1 + 24
We consider the new divisor 74 and the new remainder 24,and apply the division lemma to get
74 = 24 x 3 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 466 and 834 is 2
Notice that 2 = HCF(24,2) = HCF(74,24) = HCF(98,74) = HCF(368,98) = HCF(466,368) = HCF(834,466) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 466, 834 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 466, 834?
Answer: HCF of 466, 834 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 466, 834 using Euclid's Algorithm?
Answer: For arbitrary numbers 466, 834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.