Highest Common Factor of 402, 406, 30, 228 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, 406, 30, 228 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 402, 406, 30, 228 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, 406, 30, 228 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, 406, 30, 228 is 2.
HCF(402, 406, 30, 228) = 2
HCF of 402, 406, 30, 228 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, 406, 30, 228 is 2.
Highest Common Factor of 402,406,30,228 is 2
Step 1: Since 406 > 402, we apply the division lemma to 406 and 402, to get
406 = 402 x 1 + 4
Step 2: Since the reminder 402 ≠ 0, we apply division lemma to 4 and 402, to get
402 = 4 x 100 + 2
Step 3: We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 402 and 406 is 2
Notice that 2 = HCF(4,2) = HCF(402,4) = HCF(406,402) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30 > 2, we apply the division lemma to 30 and 2, to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 30 is 2
Notice that 2 = HCF(30,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 228 > 2, we apply the division lemma to 228 and 2, to get
228 = 2 x 114 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 228 is 2
Notice that 2 = HCF(228,2) .
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Frequently Asked Questions on HCF of 402, 406, 30, 228 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, 406, 30, 228?
Answer: HCF of 402, 406, 30, 228 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 402, 406, 30, 228 using Euclid's Algorithm?
Answer: For arbitrary numbers 402, 406, 30, 228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.