Highest Common Factor of 9111, 6094, 29891 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 9111, 6094, 29891 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9111, 6094, 29891 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 9111, 6094, 29891 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 9111, 6094, 29891 is 1.
HCF(9111, 6094, 29891) = 1
HCF of 9111, 6094, 29891 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9111, 6094, 29891 is 1.
Highest Common Factor of 9111,6094,29891 is 1
Step 1: Since 9111 > 6094, we apply the division lemma to 9111 and 6094, to get
9111 = 6094 x 1 + 3017
Step 2: Since the reminder 6094 ≠ 0, we apply division lemma to 3017 and 6094, to get
6094 = 3017 x 2 + 60
Step 3: We consider the new divisor 3017 and the new remainder 60, and apply the division lemma to get
3017 = 60 x 50 + 17
We consider the new divisor 60 and the new remainder 17,and apply the division lemma to get
60 = 17 x 3 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9111 and 6094 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(60,17) = HCF(3017,60) = HCF(6094,3017) = HCF(9111,6094) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29891 > 1, we apply the division lemma to 29891 and 1, to get
29891 = 1 x 29891 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29891 is 1
Notice that 1 = HCF(29891,1) .
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Frequently Asked Questions on HCF of 9111, 6094, 29891 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 9111, 6094, 29891?
Answer: HCF of 9111, 6094, 29891 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9111, 6094, 29891 using Euclid's Algorithm?
Answer: For arbitrary numbers 9111, 6094, 29891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.