Highest Common Factor of 1183, 6041, 55908 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 1183, 6041, 55908 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1183, 6041, 55908 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 1183, 6041, 55908 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 1183, 6041, 55908 is 1.
HCF(1183, 6041, 55908) = 1
HCF of 1183, 6041, 55908 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1183, 6041, 55908 is 1.
Highest Common Factor of 1183,6041,55908 is 1
Step 1: Since 6041 > 1183, we apply the division lemma to 6041 and 1183, to get
6041 = 1183 x 5 + 126
Step 2: Since the reminder 1183 ≠ 0, we apply division lemma to 126 and 1183, to get
1183 = 126 x 9 + 49
Step 3: We consider the new divisor 126 and the new remainder 49, and apply the division lemma to get
126 = 49 x 2 + 28
We consider the new divisor 49 and the new remainder 28,and apply the division lemma to get
49 = 28 x 1 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1183 and 6041 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(49,28) = HCF(126,49) = HCF(1183,126) = HCF(6041,1183) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55908 > 7, we apply the division lemma to 55908 and 7, to get
55908 = 7 x 7986 + 6
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 6 and 7, to get
7 = 6 x 1 + 1
Step 3: We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 55908 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(55908,7) .
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Frequently Asked Questions on HCF of 1183, 6041, 55908 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 1183, 6041, 55908?
Answer: HCF of 1183, 6041, 55908 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1183, 6041, 55908 using Euclid's Algorithm?
Answer: For arbitrary numbers 1183, 6041, 55908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.