Highest Common Factor of 402, 226, 640 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 402, 226, 640 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 402, 226, 640 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 402, 226, 640 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 402, 226, 640 is 2.
HCF(402, 226, 640) = 2
HCF of 402, 226, 640 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 402, 226, 640 is 2.
Highest Common Factor of 402,226,640 is 2
Step 1: Since 402 > 226, we apply the division lemma to 402 and 226, to get
402 = 226 x 1 + 176
Step 2: Since the reminder 226 ≠ 0, we apply division lemma to 176 and 226, to get
226 = 176 x 1 + 50
Step 3: We consider the new divisor 176 and the new remainder 50, and apply the division lemma to get
176 = 50 x 3 + 26
We consider the new divisor 50 and the new remainder 26,and apply the division lemma to get
50 = 26 x 1 + 24
We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get
26 = 24 x 1 + 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 402 and 226 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(50,26) = HCF(176,50) = HCF(226,176) = HCF(402,226) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 640 > 2, we apply the division lemma to 640 and 2, to get
640 = 2 x 320 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 640 is 2
Notice that 2 = HCF(640,2) .
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Frequently Asked Questions on HCF of 402, 226, 640 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 402, 226, 640?
Answer: HCF of 402, 226, 640 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 402, 226, 640 using Euclid's Algorithm?
Answer: For arbitrary numbers 402, 226, 640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.