Highest Common Factor of 200, 321, 534 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 200, 321, 534 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 200, 321, 534 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 200, 321, 534 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 200, 321, 534 is 1.
HCF(200, 321, 534) = 1
HCF of 200, 321, 534 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 200, 321, 534 is 1.
Highest Common Factor of 200,321,534 is 1
Step 1: Since 321 > 200, we apply the division lemma to 321 and 200, to get
321 = 200 x 1 + 121
Step 2: Since the reminder 200 ≠ 0, we apply division lemma to 121 and 200, to get
200 = 121 x 1 + 79
Step 3: We consider the new divisor 121 and the new remainder 79, and apply the division lemma to get
121 = 79 x 1 + 42
We consider the new divisor 79 and the new remainder 42,and apply the division lemma to get
79 = 42 x 1 + 37
We consider the new divisor 42 and the new remainder 37,and apply the division lemma to get
42 = 37 x 1 + 5
We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get
37 = 5 x 7 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 200 and 321 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(42,37) = HCF(79,42) = HCF(121,79) = HCF(200,121) = HCF(321,200) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 534 > 1, we apply the division lemma to 534 and 1, to get
534 = 1 x 534 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 534 is 1
Notice that 1 = HCF(534,1) .
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Frequently Asked Questions on HCF of 200, 321, 534 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 200, 321, 534?
Answer: HCF of 200, 321, 534 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 200, 321, 534 using Euclid's Algorithm?
Answer: For arbitrary numbers 200, 321, 534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.