Highest Common Factor of 317, 9678, 4826 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 317, 9678, 4826 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 317, 9678, 4826 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 317, 9678, 4826 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 317, 9678, 4826 is 1.
HCF(317, 9678, 4826) = 1
HCF of 317, 9678, 4826 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 317, 9678, 4826 is 1.
Highest Common Factor of 317,9678,4826 is 1
Step 1: Since 9678 > 317, we apply the division lemma to 9678 and 317, to get
9678 = 317 x 30 + 168
Step 2: Since the reminder 317 ≠ 0, we apply division lemma to 168 and 317, to get
317 = 168 x 1 + 149
Step 3: We consider the new divisor 168 and the new remainder 149, and apply the division lemma to get
168 = 149 x 1 + 19
We consider the new divisor 149 and the new remainder 19,and apply the division lemma to get
149 = 19 x 7 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 317 and 9678 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(149,19) = HCF(168,149) = HCF(317,168) = HCF(9678,317) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4826 > 1, we apply the division lemma to 4826 and 1, to get
4826 = 1 x 4826 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4826 is 1
Notice that 1 = HCF(4826,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 317, 9678, 4826 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 317, 9678, 4826?
Answer: HCF of 317, 9678, 4826 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 317, 9678, 4826 using Euclid's Algorithm?
Answer: For arbitrary numbers 317, 9678, 4826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.