Highest Common Factor of 410, 538, 544 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 410, 538, 544 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 410, 538, 544 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 410, 538, 544 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 410, 538, 544 is 2.
HCF(410, 538, 544) = 2
HCF of 410, 538, 544 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 410, 538, 544 is 2.
Highest Common Factor of 410,538,544 is 2
Step 1: Since 538 > 410, we apply the division lemma to 538 and 410, to get
538 = 410 x 1 + 128
Step 2: Since the reminder 410 ≠ 0, we apply division lemma to 128 and 410, to get
410 = 128 x 3 + 26
Step 3: We consider the new divisor 128 and the new remainder 26, and apply the division lemma to get
128 = 26 x 4 + 24
We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 410 and 538 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(128,26) = HCF(410,128) = HCF(538,410) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 544 > 2, we apply the division lemma to 544 and 2, to get
544 = 2 x 272 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 544 is 2
Notice that 2 = HCF(544,2) .
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Frequently Asked Questions on HCF of 410, 538, 544 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 410, 538, 544?
Answer: HCF of 410, 538, 544 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 410, 538, 544 using Euclid's Algorithm?
Answer: For arbitrary numbers 410, 538, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.