Highest Common Factor of 983, 839, 309 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 983, 839, 309 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 983, 839, 309 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 983, 839, 309 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 983, 839, 309 is 1.

HCF(983, 839, 309) = 1

HCF of 983, 839, 309 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 983, 839, 309 is 1.

Highest Common Factor of 983,839,309 using Euclid's algorithm

Highest Common Factor of 983,839,309 is 1

Step 1: Since 983 > 839, we apply the division lemma to 983 and 839, to get

983 = 839 x 1 + 144

Step 2: Since the reminder 839 ≠ 0, we apply division lemma to 144 and 839, to get

839 = 144 x 5 + 119

Step 3: We consider the new divisor 144 and the new remainder 119, and apply the division lemma to get

144 = 119 x 1 + 25

We consider the new divisor 119 and the new remainder 25,and apply the division lemma to get

119 = 25 x 4 + 19

We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get

25 = 19 x 1 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 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 983 and 839 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(119,25) = HCF(144,119) = HCF(839,144) = HCF(983,839) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 309 > 1, we apply the division lemma to 309 and 1, to get

309 = 1 x 309 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 309 is 1

Notice that 1 = HCF(309,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 983, 839, 309 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 983, 839, 309?

Answer: HCF of 983, 839, 309 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 983, 839, 309 using Euclid's Algorithm?

Answer: For arbitrary numbers 983, 839, 309 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.