Highest Common Factor of 4486, 964 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 4486, 964 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4486, 964 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 4486, 964 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 4486, 964 is 2.
HCF(4486, 964) = 2
HCF of 4486, 964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4486, 964 is 2.
Highest Common Factor of 4486,964 is 2
Step 1: Since 4486 > 964, we apply the division lemma to 4486 and 964, to get
4486 = 964 x 4 + 630
Step 2: Since the reminder 964 ≠ 0, we apply division lemma to 630 and 964, to get
964 = 630 x 1 + 334
Step 3: We consider the new divisor 630 and the new remainder 334, and apply the division lemma to get
630 = 334 x 1 + 296
We consider the new divisor 334 and the new remainder 296,and apply the division lemma to get
334 = 296 x 1 + 38
We consider the new divisor 296 and the new remainder 38,and apply the division lemma to get
296 = 38 x 7 + 30
We consider the new divisor 38 and the new remainder 30,and apply the division lemma to get
38 = 30 x 1 + 8
We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get
30 = 8 x 3 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4486 and 964 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(38,30) = HCF(296,38) = HCF(334,296) = HCF(630,334) = HCF(964,630) = HCF(4486,964) .
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Frequently Asked Questions on HCF of 4486, 964 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 4486, 964?
Answer: HCF of 4486, 964 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4486, 964 using Euclid's Algorithm?
Answer: For arbitrary numbers 4486, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.