Highest Common Factor of 756, 3033 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 756, 3033 i.e. 9 the largest integer that leaves a remainder zero for all numbers.

HCF of 756, 3033 is 9 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 756, 3033 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 756, 3033 is 9.

HCF(756, 3033) = 9

HCF of 756, 3033 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 756, 3033 is 9.

Highest Common Factor of 756,3033 using Euclid's algorithm

Highest Common Factor of 756,3033 is 9

Step 1: Since 3033 > 756, we apply the division lemma to 3033 and 756, to get

3033 = 756 x 4 + 9

Step 2: Since the reminder 756 ≠ 0, we apply division lemma to 9 and 756, to get

756 = 9 x 84 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 756 and 3033 is 9

Notice that 9 = HCF(756,9) = HCF(3033,756) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 756, 3033 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 756, 3033?

Answer: HCF of 756, 3033 is 9 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 756, 3033 using Euclid's Algorithm?

Answer: For arbitrary numbers 756, 3033 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.