Highest Common Factor of 404, 450, 916 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 404, 450, 916 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 404, 450, 916 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 404, 450, 916 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 404, 450, 916 is 2.
HCF(404, 450, 916) = 2
HCF of 404, 450, 916 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 404, 450, 916 is 2.
Highest Common Factor of 404,450,916 is 2
Step 1: Since 450 > 404, we apply the division lemma to 450 and 404, to get
450 = 404 x 1 + 46
Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 46 and 404, to get
404 = 46 x 8 + 36
Step 3: We consider the new divisor 46 and the new remainder 36, and apply the division lemma to get
46 = 36 x 1 + 10
We consider the new divisor 36 and the new remainder 10,and apply the division lemma to get
36 = 10 x 3 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
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 404 and 450 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(36,10) = HCF(46,36) = HCF(404,46) = HCF(450,404) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 916 > 2, we apply the division lemma to 916 and 2, to get
916 = 2 x 458 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 916 is 2
Notice that 2 = HCF(916,2) .
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Frequently Asked Questions on HCF of 404, 450, 916 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 404, 450, 916?
Answer: HCF of 404, 450, 916 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 404, 450, 916 using Euclid's Algorithm?
Answer: For arbitrary numbers 404, 450, 916 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.