Highest Common Factor of 1962, 4084 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 1962, 4084 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1962, 4084 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 1962, 4084 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 1962, 4084 is 2.
HCF(1962, 4084) = 2
HCF of 1962, 4084 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1962, 4084 is 2.
Highest Common Factor of 1962,4084 is 2
Step 1: Since 4084 > 1962, we apply the division lemma to 4084 and 1962, to get
4084 = 1962 x 2 + 160
Step 2: Since the reminder 1962 ≠ 0, we apply division lemma to 160 and 1962, to get
1962 = 160 x 12 + 42
Step 3: We consider the new divisor 160 and the new remainder 42, and apply the division lemma to get
160 = 42 x 3 + 34
We consider the new divisor 42 and the new remainder 34,and apply the division lemma to get
42 = 34 x 1 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1962 and 4084 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(42,34) = HCF(160,42) = HCF(1962,160) = HCF(4084,1962) .
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Frequently Asked Questions on HCF of 1962, 4084 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 1962, 4084?
Answer: HCF of 1962, 4084 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1962, 4084 using Euclid's Algorithm?
Answer: For arbitrary numbers 1962, 4084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.