Highest Common Factor of 839, 324 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 839, 324 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 324 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 839, 324 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 839, 324 is 1.
HCF(839, 324) = 1
HCF of 839, 324 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 839, 324 is 1.
Highest Common Factor of 839,324 is 1
Step 1: Since 839 > 324, we apply the division lemma to 839 and 324, to get
839 = 324 x 2 + 191
Step 2: Since the reminder 324 ≠ 0, we apply division lemma to 191 and 324, to get
324 = 191 x 1 + 133
Step 3: We consider the new divisor 191 and the new remainder 133, and apply the division lemma to get
191 = 133 x 1 + 58
We consider the new divisor 133 and the new remainder 58,and apply the division lemma to get
133 = 58 x 2 + 17
We consider the new divisor 58 and the new remainder 17,and apply the division lemma to get
58 = 17 x 3 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 839 and 324 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(58,17) = HCF(133,58) = HCF(191,133) = HCF(324,191) = HCF(839,324) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 839, 324 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 839, 324?
Answer: HCF of 839, 324 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 324 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.