Highest Common Factor of 916, 533, 344 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 916, 533, 344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 916, 533, 344 is 1 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 916, 533, 344 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 916, 533, 344 is 1.
HCF(916, 533, 344) = 1
HCF of 916, 533, 344 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 916, 533, 344 is 1.
Highest Common Factor of 916,533,344 is 1
Step 1: Since 916 > 533, we apply the division lemma to 916 and 533, to get
916 = 533 x 1 + 383
Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 383 and 533, to get
533 = 383 x 1 + 150
Step 3: We consider the new divisor 383 and the new remainder 150, and apply the division lemma to get
383 = 150 x 2 + 83
We consider the new divisor 150 and the new remainder 83,and apply the division lemma to get
150 = 83 x 1 + 67
We consider the new divisor 83 and the new remainder 67,and apply the division lemma to get
83 = 67 x 1 + 16
We consider the new divisor 67 and the new remainder 16,and apply the division lemma to get
67 = 16 x 4 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 916 and 533 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(67,16) = HCF(83,67) = HCF(150,83) = HCF(383,150) = HCF(533,383) = HCF(916,533) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 344 > 1, we apply the division lemma to 344 and 1, to get
344 = 1 x 344 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 344 is 1
Notice that 1 = HCF(344,1) .
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Frequently Asked Questions on HCF of 916, 533, 344 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 916, 533, 344?
Answer: HCF of 916, 533, 344 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 916, 533, 344 using Euclid's Algorithm?
Answer: For arbitrary numbers 916, 533, 344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.