Highest Common Factor of 8153, 3980 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 8153, 3980 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8153, 3980 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 8153, 3980 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 8153, 3980 is 1.
HCF(8153, 3980) = 1
HCF of 8153, 3980 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8153, 3980 is 1.
Highest Common Factor of 8153,3980 is 1
Step 1: Since 8153 > 3980, we apply the division lemma to 8153 and 3980, to get
8153 = 3980 x 2 + 193
Step 2: Since the reminder 3980 ≠ 0, we apply division lemma to 193 and 3980, to get
3980 = 193 x 20 + 120
Step 3: We consider the new divisor 193 and the new remainder 120, and apply the division lemma to get
193 = 120 x 1 + 73
We consider the new divisor 120 and the new remainder 73,and apply the division lemma to get
120 = 73 x 1 + 47
We consider the new divisor 73 and the new remainder 47,and apply the division lemma to get
73 = 47 x 1 + 26
We consider the new divisor 47 and the new remainder 26,and apply the division lemma to get
47 = 26 x 1 + 21
We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get
26 = 21 x 1 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 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 8153 and 3980 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(47,26) = HCF(73,47) = HCF(120,73) = HCF(193,120) = HCF(3980,193) = HCF(8153,3980) .
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Frequently Asked Questions on HCF of 8153, 3980 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 8153, 3980?
Answer: HCF of 8153, 3980 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8153, 3980 using Euclid's Algorithm?
Answer: For arbitrary numbers 8153, 3980 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.