Highest Common Factor of 610, 515, 381, 532 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 610, 515, 381, 532 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 610, 515, 381, 532 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 610, 515, 381, 532 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 610, 515, 381, 532 is 1.
HCF(610, 515, 381, 532) = 1
HCF of 610, 515, 381, 532 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 610, 515, 381, 532 is 1.
Highest Common Factor of 610,515,381,532 is 1
Step 1: Since 610 > 515, we apply the division lemma to 610 and 515, to get
610 = 515 x 1 + 95
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 95 and 515, to get
515 = 95 x 5 + 40
Step 3: We consider the new divisor 95 and the new remainder 40, and apply the division lemma to get
95 = 40 x 2 + 15
We consider the new divisor 40 and the new remainder 15,and apply the division lemma to get
40 = 15 x 2 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 610 and 515 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(95,40) = HCF(515,95) = HCF(610,515) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 381 > 5, we apply the division lemma to 381 and 5, to get
381 = 5 x 76 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 381 is 1
Notice that 1 = HCF(5,1) = HCF(381,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 532 > 1, we apply the division lemma to 532 and 1, to get
532 = 1 x 532 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 532 is 1
Notice that 1 = HCF(532,1) .
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Frequently Asked Questions on HCF of 610, 515, 381, 532 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 610, 515, 381, 532?
Answer: HCF of 610, 515, 381, 532 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 610, 515, 381, 532 using Euclid's Algorithm?
Answer: For arbitrary numbers 610, 515, 381, 532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.