Highest Common Factor of 8170, 4462 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 8170, 4462 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8170, 4462 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 8170, 4462 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 8170, 4462 is 2.
HCF(8170, 4462) = 2
HCF of 8170, 4462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8170, 4462 is 2.
Highest Common Factor of 8170,4462 is 2
Step 1: Since 8170 > 4462, we apply the division lemma to 8170 and 4462, to get
8170 = 4462 x 1 + 3708
Step 2: Since the reminder 4462 ≠ 0, we apply division lemma to 3708 and 4462, to get
4462 = 3708 x 1 + 754
Step 3: We consider the new divisor 3708 and the new remainder 754, and apply the division lemma to get
3708 = 754 x 4 + 692
We consider the new divisor 754 and the new remainder 692,and apply the division lemma to get
754 = 692 x 1 + 62
We consider the new divisor 692 and the new remainder 62,and apply the division lemma to get
692 = 62 x 11 + 10
We consider the new divisor 62 and the new remainder 10,and apply the division lemma to get
62 = 10 x 6 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8170 and 4462 is 2
Notice that 2 = HCF(10,2) = HCF(62,10) = HCF(692,62) = HCF(754,692) = HCF(3708,754) = HCF(4462,3708) = HCF(8170,4462) .
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Frequently Asked Questions on HCF of 8170, 4462 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 8170, 4462?
Answer: HCF of 8170, 4462 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8170, 4462 using Euclid's Algorithm?
Answer: For arbitrary numbers 8170, 4462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.