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 811, 997, 742 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 997, 742 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 811, 997, 742 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 811, 997, 742 is 1.
HCF(811, 997, 742) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 811, 997, 742 is 1.
Step 1: Since 997 > 811, we apply the division lemma to 997 and 811, to get
997 = 811 x 1 + 186
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 186 and 811, to get
811 = 186 x 4 + 67
Step 3: We consider the new divisor 186 and the new remainder 67, and apply the division lemma to get
186 = 67 x 2 + 52
We consider the new divisor 67 and the new remainder 52,and apply the division lemma to get
67 = 52 x 1 + 15
We consider the new divisor 52 and the new remainder 15,and apply the division lemma to get
52 = 15 x 3 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 811 and 997 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(52,15) = HCF(67,52) = HCF(186,67) = HCF(811,186) = HCF(997,811) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 742 > 1, we apply the division lemma to 742 and 1, to get
742 = 1 x 742 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 742 is 1
Notice that 1 = HCF(742,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 811, 997, 742?
Answer: HCF of 811, 997, 742 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 997, 742 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 997, 742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.