Highest Common Factor of 9783, 1550 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 9783, 1550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9783, 1550 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 9783, 1550 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 9783, 1550 is 1.

HCF(9783, 1550) = 1

HCF of 9783, 1550 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 9783, 1550 is 1.

Highest Common Factor of 9783,1550 using Euclid's algorithm

Highest Common Factor of 9783,1550 is 1

Step 1: Since 9783 > 1550, we apply the division lemma to 9783 and 1550, to get

9783 = 1550 x 6 + 483

Step 2: Since the reminder 1550 ≠ 0, we apply division lemma to 483 and 1550, to get

1550 = 483 x 3 + 101

Step 3: We consider the new divisor 483 and the new remainder 101, and apply the division lemma to get

483 = 101 x 4 + 79

We consider the new divisor 101 and the new remainder 79,and apply the division lemma to get

101 = 79 x 1 + 22

We consider the new divisor 79 and the new remainder 22,and apply the division lemma to get

79 = 22 x 3 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9783 and 1550 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(79,22) = HCF(101,79) = HCF(483,101) = HCF(1550,483) = HCF(9783,1550) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 9783, 1550 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 9783, 1550?

Answer: HCF of 9783, 1550 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9783, 1550 using Euclid's Algorithm?

Answer: For arbitrary numbers 9783, 1550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.