Highest Common Factor of 756, 811, 71 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 756, 811, 71 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 756, 811, 71 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 756, 811, 71 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 756, 811, 71 is 1.
HCF(756, 811, 71) = 1
HCF of 756, 811, 71 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 756, 811, 71 is 1.
Highest Common Factor of 756,811,71 is 1
Step 1: Since 811 > 756, we apply the division lemma to 811 and 756, to get
811 = 756 x 1 + 55
Step 2: Since the reminder 756 ≠ 0, we apply division lemma to 55 and 756, to get
756 = 55 x 13 + 41
Step 3: We consider the new divisor 55 and the new remainder 41, and apply the division lemma to get
55 = 41 x 1 + 14
We consider the new divisor 41 and the new remainder 14,and apply the division lemma to get
41 = 14 x 2 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 756 and 811 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(41,14) = HCF(55,41) = HCF(756,55) = HCF(811,756) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 71 > 1, we apply the division lemma to 71 and 1, to get
71 = 1 x 71 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71 is 1
Notice that 1 = HCF(71,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 756, 811, 71 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 756, 811, 71?
Answer: HCF of 756, 811, 71 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 756, 811, 71 using Euclid's Algorithm?
Answer: For arbitrary numbers 756, 811, 71 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.