Highest Common Factor of 438, 773, 536 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 438, 773, 536 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 438, 773, 536 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 438, 773, 536 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 438, 773, 536 is 1.
HCF(438, 773, 536) = 1
HCF of 438, 773, 536 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 438, 773, 536 is 1.
Highest Common Factor of 438,773,536 is 1
Step 1: Since 773 > 438, we apply the division lemma to 773 and 438, to get
773 = 438 x 1 + 335
Step 2: Since the reminder 438 ≠ 0, we apply division lemma to 335 and 438, to get
438 = 335 x 1 + 103
Step 3: We consider the new divisor 335 and the new remainder 103, and apply the division lemma to get
335 = 103 x 3 + 26
We consider the new divisor 103 and the new remainder 26,and apply the division lemma to get
103 = 26 x 3 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 438 and 773 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(103,26) = HCF(335,103) = HCF(438,335) = HCF(773,438) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 536 > 1, we apply the division lemma to 536 and 1, to get
536 = 1 x 536 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 536 is 1
Notice that 1 = HCF(536,1) .
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Frequently Asked Questions on HCF of 438, 773, 536 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 438, 773, 536?
Answer: HCF of 438, 773, 536 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 438, 773, 536 using Euclid's Algorithm?
Answer: For arbitrary numbers 438, 773, 536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.