Highest Common Factor of 839, 6638 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, 6638 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 6638 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, 6638 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, 6638 is 1.
HCF(839, 6638) = 1
HCF of 839, 6638 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, 6638 is 1.
Highest Common Factor of 839,6638 is 1
Step 1: Since 6638 > 839, we apply the division lemma to 6638 and 839, to get
6638 = 839 x 7 + 765
Step 2: Since the reminder 839 ≠ 0, we apply division lemma to 765 and 839, to get
839 = 765 x 1 + 74
Step 3: We consider the new divisor 765 and the new remainder 74, and apply the division lemma to get
765 = 74 x 10 + 25
We consider the new divisor 74 and the new remainder 25,and apply the division lemma to get
74 = 25 x 2 + 24
We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get
25 = 24 x 1 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 839 and 6638 is 1
Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(74,25) = HCF(765,74) = HCF(839,765) = HCF(6638,839) .
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, 6638 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, 6638?
Answer: HCF of 839, 6638 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 6638 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 6638 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.