Highest Common Factor of 418, 766, 402 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 418, 766, 402 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 418, 766, 402 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 418, 766, 402 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 418, 766, 402 is 2.
HCF(418, 766, 402) = 2
HCF of 418, 766, 402 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 418, 766, 402 is 2.
Highest Common Factor of 418,766,402 is 2
Step 1: Since 766 > 418, we apply the division lemma to 766 and 418, to get
766 = 418 x 1 + 348
Step 2: Since the reminder 418 ≠ 0, we apply division lemma to 348 and 418, to get
418 = 348 x 1 + 70
Step 3: We consider the new divisor 348 and the new remainder 70, and apply the division lemma to get
348 = 70 x 4 + 68
We consider the new divisor 70 and the new remainder 68,and apply the division lemma to get
70 = 68 x 1 + 2
We consider the new divisor 68 and the new remainder 2,and apply the division lemma to get
68 = 2 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 418 and 766 is 2
Notice that 2 = HCF(68,2) = HCF(70,68) = HCF(348,70) = HCF(418,348) = HCF(766,418) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 402 > 2, we apply the division lemma to 402 and 2, to get
402 = 2 x 201 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 402 is 2
Notice that 2 = HCF(402,2) .
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Frequently Asked Questions on HCF of 418, 766, 402 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 418, 766, 402?
Answer: HCF of 418, 766, 402 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 418, 766, 402 using Euclid's Algorithm?
Answer: For arbitrary numbers 418, 766, 402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.