Highest Common Factor of 454, 616, 529, 33 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 454, 616, 529, 33 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 454, 616, 529, 33 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 454, 616, 529, 33 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 454, 616, 529, 33 is 1.
HCF(454, 616, 529, 33) = 1
HCF of 454, 616, 529, 33 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 454, 616, 529, 33 is 1.
Highest Common Factor of 454,616,529,33 is 1
Step 1: Since 616 > 454, we apply the division lemma to 616 and 454, to get
616 = 454 x 1 + 162
Step 2: Since the reminder 454 ≠ 0, we apply division lemma to 162 and 454, to get
454 = 162 x 2 + 130
Step 3: We consider the new divisor 162 and the new remainder 130, and apply the division lemma to get
162 = 130 x 1 + 32
We consider the new divisor 130 and the new remainder 32,and apply the division lemma to get
130 = 32 x 4 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 454 and 616 is 2
Notice that 2 = HCF(32,2) = HCF(130,32) = HCF(162,130) = HCF(454,162) = HCF(616,454) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 529 > 2, we apply the division lemma to 529 and 2, to get
529 = 2 x 264 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 529 is 1
Notice that 1 = HCF(2,1) = HCF(529,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33 > 1, we apply the division lemma to 33 and 1, to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33 is 1
Notice that 1 = HCF(33,1) .
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Frequently Asked Questions on HCF of 454, 616, 529, 33 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 454, 616, 529, 33?
Answer: HCF of 454, 616, 529, 33 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 454, 616, 529, 33 using Euclid's Algorithm?
Answer: For arbitrary numbers 454, 616, 529, 33 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.