Highest Common Factor of 1149, 2617, 46171 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 1149, 2617, 46171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1149, 2617, 46171 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 1149, 2617, 46171 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 1149, 2617, 46171 is 1.
HCF(1149, 2617, 46171) = 1
HCF of 1149, 2617, 46171 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1149, 2617, 46171 is 1.
Highest Common Factor of 1149,2617,46171 is 1
Step 1: Since 2617 > 1149, we apply the division lemma to 2617 and 1149, to get
2617 = 1149 x 2 + 319
Step 2: Since the reminder 1149 ≠ 0, we apply division lemma to 319 and 1149, to get
1149 = 319 x 3 + 192
Step 3: We consider the new divisor 319 and the new remainder 192, and apply the division lemma to get
319 = 192 x 1 + 127
We consider the new divisor 192 and the new remainder 127,and apply the division lemma to get
192 = 127 x 1 + 65
We consider the new divisor 127 and the new remainder 65,and apply the division lemma to get
127 = 65 x 1 + 62
We consider the new divisor 65 and the new remainder 62,and apply the division lemma to get
65 = 62 x 1 + 3
We consider the new divisor 62 and the new remainder 3,and apply the division lemma to get
62 = 3 x 20 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1149 and 2617 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(62,3) = HCF(65,62) = HCF(127,65) = HCF(192,127) = HCF(319,192) = HCF(1149,319) = HCF(2617,1149) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46171 > 1, we apply the division lemma to 46171 and 1, to get
46171 = 1 x 46171 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46171 is 1
Notice that 1 = HCF(46171,1) .
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Frequently Asked Questions on HCF of 1149, 2617, 46171 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 1149, 2617, 46171?
Answer: HCF of 1149, 2617, 46171 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1149, 2617, 46171 using Euclid's Algorithm?
Answer: For arbitrary numbers 1149, 2617, 46171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.