Highest Common Factor of 3483, 2554 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 3483, 2554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3483, 2554 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 3483, 2554 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 3483, 2554 is 1.

HCF(3483, 2554) = 1

HCF of 3483, 2554 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 3483, 2554 is 1.

Highest Common Factor of 3483,2554 using Euclid's algorithm

Highest Common Factor of 3483,2554 is 1

Step 1: Since 3483 > 2554, we apply the division lemma to 3483 and 2554, to get

3483 = 2554 x 1 + 929

Step 2: Since the reminder 2554 ≠ 0, we apply division lemma to 929 and 2554, to get

2554 = 929 x 2 + 696

Step 3: We consider the new divisor 929 and the new remainder 696, and apply the division lemma to get

929 = 696 x 1 + 233

We consider the new divisor 696 and the new remainder 233,and apply the division lemma to get

696 = 233 x 2 + 230

We consider the new divisor 233 and the new remainder 230,and apply the division lemma to get

233 = 230 x 1 + 3

We consider the new divisor 230 and the new remainder 3,and apply the division lemma to get

230 = 3 x 76 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3483 and 2554 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(230,3) = HCF(233,230) = HCF(696,233) = HCF(929,696) = HCF(2554,929) = HCF(3483,2554) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3483, 2554 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 3483, 2554?

Answer: HCF of 3483, 2554 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3483, 2554 using Euclid's Algorithm?

Answer: For arbitrary numbers 3483, 2554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.