Highest Common Factor of 262, 680, 466 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 262, 680, 466 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 262, 680, 466 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 262, 680, 466 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 262, 680, 466 is 2.
HCF(262, 680, 466) = 2
HCF of 262, 680, 466 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 262, 680, 466 is 2.
Highest Common Factor of 262,680,466 is 2
Step 1: Since 680 > 262, we apply the division lemma to 680 and 262, to get
680 = 262 x 2 + 156
Step 2: Since the reminder 262 ≠ 0, we apply division lemma to 156 and 262, to get
262 = 156 x 1 + 106
Step 3: We consider the new divisor 156 and the new remainder 106, and apply the division lemma to get
156 = 106 x 1 + 50
We consider the new divisor 106 and the new remainder 50,and apply the division lemma to get
106 = 50 x 2 + 6
We consider the new divisor 50 and the new remainder 6,and apply the division lemma to get
50 = 6 x 8 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 262 and 680 is 2
Notice that 2 = HCF(6,2) = HCF(50,6) = HCF(106,50) = HCF(156,106) = HCF(262,156) = HCF(680,262) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 466 > 2, we apply the division lemma to 466 and 2, to get
466 = 2 x 233 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 466 is 2
Notice that 2 = HCF(466,2) .
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Frequently Asked Questions on HCF of 262, 680, 466 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 262, 680, 466?
Answer: HCF of 262, 680, 466 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 262, 680, 466 using Euclid's Algorithm?
Answer: For arbitrary numbers 262, 680, 466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.