Highest Common Factor of 4960, 8322 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 4960, 8322 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4960, 8322 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 4960, 8322 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 4960, 8322 is 2.
HCF(4960, 8322) = 2
HCF of 4960, 8322 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4960, 8322 is 2.
Highest Common Factor of 4960,8322 is 2
Step 1: Since 8322 > 4960, we apply the division lemma to 8322 and 4960, to get
8322 = 4960 x 1 + 3362
Step 2: Since the reminder 4960 ≠ 0, we apply division lemma to 3362 and 4960, to get
4960 = 3362 x 1 + 1598
Step 3: We consider the new divisor 3362 and the new remainder 1598, and apply the division lemma to get
3362 = 1598 x 2 + 166
We consider the new divisor 1598 and the new remainder 166,and apply the division lemma to get
1598 = 166 x 9 + 104
We consider the new divisor 166 and the new remainder 104,and apply the division lemma to get
166 = 104 x 1 + 62
We consider the new divisor 104 and the new remainder 62,and apply the division lemma to get
104 = 62 x 1 + 42
We consider the new divisor 62 and the new remainder 42,and apply the division lemma to get
62 = 42 x 1 + 20
We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get
42 = 20 x 2 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4960 and 8322 is 2
Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(62,42) = HCF(104,62) = HCF(166,104) = HCF(1598,166) = HCF(3362,1598) = HCF(4960,3362) = HCF(8322,4960) .
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Frequently Asked Questions on HCF of 4960, 8322 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 4960, 8322?
Answer: HCF of 4960, 8322 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4960, 8322 using Euclid's Algorithm?
Answer: For arbitrary numbers 4960, 8322 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.