Highest Common Factor of 997, 9190, 5736 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 997, 9190, 5736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 997, 9190, 5736 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 997, 9190, 5736 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 997, 9190, 5736 is 1.
HCF(997, 9190, 5736) = 1
HCF of 997, 9190, 5736 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 997, 9190, 5736 is 1.
Highest Common Factor of 997,9190,5736 is 1
Step 1: Since 9190 > 997, we apply the division lemma to 9190 and 997, to get
9190 = 997 x 9 + 217
Step 2: Since the reminder 997 ≠ 0, we apply division lemma to 217 and 997, to get
997 = 217 x 4 + 129
Step 3: We consider the new divisor 217 and the new remainder 129, and apply the division lemma to get
217 = 129 x 1 + 88
We consider the new divisor 129 and the new remainder 88,and apply the division lemma to get
129 = 88 x 1 + 41
We consider the new divisor 88 and the new remainder 41,and apply the division lemma to get
88 = 41 x 2 + 6
We consider the new divisor 41 and the new remainder 6,and apply the division lemma to get
41 = 6 x 6 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 997 and 9190 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(41,6) = HCF(88,41) = HCF(129,88) = HCF(217,129) = HCF(997,217) = HCF(9190,997) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5736 > 1, we apply the division lemma to 5736 and 1, to get
5736 = 1 x 5736 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5736 is 1
Notice that 1 = HCF(5736,1) .
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Frequently Asked Questions on HCF of 997, 9190, 5736 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 997, 9190, 5736?
Answer: HCF of 997, 9190, 5736 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 997, 9190, 5736 using Euclid's Algorithm?
Answer: For arbitrary numbers 997, 9190, 5736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
