Highest Common Factor of 797, 9351 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 797, 9351 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 797, 9351 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 797, 9351 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 797, 9351 is 1.
HCF(797, 9351) = 1
HCF of 797, 9351 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 797, 9351 is 1.
Highest Common Factor of 797,9351 is 1
Step 1: Since 9351 > 797, we apply the division lemma to 9351 and 797, to get
9351 = 797 x 11 + 584
Step 2: Since the reminder 797 ≠ 0, we apply division lemma to 584 and 797, to get
797 = 584 x 1 + 213
Step 3: We consider the new divisor 584 and the new remainder 213, and apply the division lemma to get
584 = 213 x 2 + 158
We consider the new divisor 213 and the new remainder 158,and apply the division lemma to get
213 = 158 x 1 + 55
We consider the new divisor 158 and the new remainder 55,and apply the division lemma to get
158 = 55 x 2 + 48
We consider the new divisor 55 and the new remainder 48,and apply the division lemma to get
55 = 48 x 1 + 7
We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get
48 = 7 x 6 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 797 and 9351 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(55,48) = HCF(158,55) = HCF(213,158) = HCF(584,213) = HCF(797,584) = HCF(9351,797) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 797, 9351 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 797, 9351?
Answer: HCF of 797, 9351 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 797, 9351 using Euclid's Algorithm?
Answer: For arbitrary numbers 797, 9351 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.