Highest Common Factor of 7729, 9549, 36166 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 7729, 9549, 36166 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7729, 9549, 36166 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 7729, 9549, 36166 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 7729, 9549, 36166 is 1.
HCF(7729, 9549, 36166) = 1
HCF of 7729, 9549, 36166 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7729, 9549, 36166 is 1.
Highest Common Factor of 7729,9549,36166 is 1
Step 1: Since 9549 > 7729, we apply the division lemma to 9549 and 7729, to get
9549 = 7729 x 1 + 1820
Step 2: Since the reminder 7729 ≠ 0, we apply division lemma to 1820 and 7729, to get
7729 = 1820 x 4 + 449
Step 3: We consider the new divisor 1820 and the new remainder 449, and apply the division lemma to get
1820 = 449 x 4 + 24
We consider the new divisor 449 and the new remainder 24,and apply the division lemma to get
449 = 24 x 18 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7729 and 9549 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(449,24) = HCF(1820,449) = HCF(7729,1820) = HCF(9549,7729) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36166 > 1, we apply the division lemma to 36166 and 1, to get
36166 = 1 x 36166 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36166 is 1
Notice that 1 = HCF(36166,1) .
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Frequently Asked Questions on HCF of 7729, 9549, 36166 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 7729, 9549, 36166?
Answer: HCF of 7729, 9549, 36166 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7729, 9549, 36166 using Euclid's Algorithm?
Answer: For arbitrary numbers 7729, 9549, 36166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.