Highest Common Factor of 610, 3145, 8862 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, 3145, 8862 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 610, 3145, 8862 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, 3145, 8862 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, 3145, 8862 is 1.
HCF(610, 3145, 8862) = 1
HCF of 610, 3145, 8862 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, 3145, 8862 is 1.
Highest Common Factor of 610,3145,8862 is 1
Step 1: Since 3145 > 610, we apply the division lemma to 3145 and 610, to get
3145 = 610 x 5 + 95
Step 2: Since the reminder 610 ≠ 0, we apply division lemma to 95 and 610, to get
610 = 95 x 6 + 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 3145 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(95,40) = HCF(610,95) = HCF(3145,610) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8862 > 5, we apply the division lemma to 8862 and 5, to get
8862 = 5 x 1772 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: 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 5 and 8862 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(8862,5) .
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Frequently Asked Questions on HCF of 610, 3145, 8862 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, 3145, 8862?
Answer: HCF of 610, 3145, 8862 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 610, 3145, 8862 using Euclid's Algorithm?
Answer: For arbitrary numbers 610, 3145, 8862 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.