Highest Common Factor of 4981, 3822 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 4981, 3822 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4981, 3822 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 4981, 3822 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 4981, 3822 is 1.
HCF(4981, 3822) = 1
HCF of 4981, 3822 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4981, 3822 is 1.
Highest Common Factor of 4981,3822 is 1
Step 1: Since 4981 > 3822, we apply the division lemma to 4981 and 3822, to get
4981 = 3822 x 1 + 1159
Step 2: Since the reminder 3822 ≠ 0, we apply division lemma to 1159 and 3822, to get
3822 = 1159 x 3 + 345
Step 3: We consider the new divisor 1159 and the new remainder 345, and apply the division lemma to get
1159 = 345 x 3 + 124
We consider the new divisor 345 and the new remainder 124,and apply the division lemma to get
345 = 124 x 2 + 97
We consider the new divisor 124 and the new remainder 97,and apply the division lemma to get
124 = 97 x 1 + 27
We consider the new divisor 97 and the new remainder 27,and apply the division lemma to get
97 = 27 x 3 + 16
We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get
27 = 16 x 1 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4981 and 3822 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(97,27) = HCF(124,97) = HCF(345,124) = HCF(1159,345) = HCF(3822,1159) = HCF(4981,3822) .
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Frequently Asked Questions on HCF of 4981, 3822 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 4981, 3822?
Answer: HCF of 4981, 3822 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4981, 3822 using Euclid's Algorithm?
Answer: For arbitrary numbers 4981, 3822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
