Highest Common Factor of 811, 7570, 9269 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 811, 7570, 9269 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 7570, 9269 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, 7570, 9269 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, 7570, 9269 is 1.
HCF(811, 7570, 9269) = 1
HCF of 811, 7570, 9269 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 811, 7570, 9269 is 1.
Highest Common Factor of 811,7570,9269 is 1
Step 1: Since 7570 > 811, we apply the division lemma to 7570 and 811, to get
7570 = 811 x 9 + 271
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 271 and 811, to get
811 = 271 x 2 + 269
Step 3: We consider the new divisor 271 and the new remainder 269, and apply the division lemma to get
271 = 269 x 1 + 2
We consider the new divisor 269 and the new remainder 2,and apply the division lemma to get
269 = 2 x 134 + 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 811 and 7570 is 1
Notice that 1 = HCF(2,1) = HCF(269,2) = HCF(271,269) = HCF(811,271) = HCF(7570,811) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9269 > 1, we apply the division lemma to 9269 and 1, to get
9269 = 1 x 9269 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9269 is 1
Notice that 1 = HCF(9269,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 811, 7570, 9269 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 811, 7570, 9269?
Answer: HCF of 811, 7570, 9269 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 7570, 9269 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 7570, 9269 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.