Highest Common Factor of 839, 1328, 9082 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, 1328, 9082 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 1328, 9082 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, 1328, 9082 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, 1328, 9082 is 1.
HCF(839, 1328, 9082) = 1
HCF of 839, 1328, 9082 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, 1328, 9082 is 1.
Highest Common Factor of 839,1328,9082 is 1
Step 1: Since 1328 > 839, we apply the division lemma to 1328 and 839, to get
1328 = 839 x 1 + 489
Step 2: Since the reminder 839 ≠ 0, we apply division lemma to 489 and 839, to get
839 = 489 x 1 + 350
Step 3: We consider the new divisor 489 and the new remainder 350, and apply the division lemma to get
489 = 350 x 1 + 139
We consider the new divisor 350 and the new remainder 139,and apply the division lemma to get
350 = 139 x 2 + 72
We consider the new divisor 139 and the new remainder 72,and apply the division lemma to get
139 = 72 x 1 + 67
We consider the new divisor 72 and the new remainder 67,and apply the division lemma to get
72 = 67 x 1 + 5
We consider the new divisor 67 and the new remainder 5,and apply the division lemma to get
67 = 5 x 13 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 839 and 1328 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(67,5) = HCF(72,67) = HCF(139,72) = HCF(350,139) = HCF(489,350) = HCF(839,489) = HCF(1328,839) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9082 > 1, we apply the division lemma to 9082 and 1, to get
9082 = 1 x 9082 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9082 is 1
Notice that 1 = HCF(9082,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 839, 1328, 9082 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, 1328, 9082?
Answer: HCF of 839, 1328, 9082 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 1328, 9082 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 1328, 9082 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.