Highest Common Factor of 7263, 7905 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 7263, 7905 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 7263, 7905 is 3 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 7263, 7905 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 7263, 7905 is 3.

HCF(7263, 7905) = 3

HCF of 7263, 7905 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 7263, 7905 is 3.

Highest Common Factor of 7263,7905 using Euclid's algorithm

Highest Common Factor of 7263,7905 is 3

Step 1: Since 7905 > 7263, we apply the division lemma to 7905 and 7263, to get

7905 = 7263 x 1 + 642

Step 2: Since the reminder 7263 ≠ 0, we apply division lemma to 642 and 7263, to get

7263 = 642 x 11 + 201

Step 3: We consider the new divisor 642 and the new remainder 201, and apply the division lemma to get

642 = 201 x 3 + 39

We consider the new divisor 201 and the new remainder 39,and apply the division lemma to get

201 = 39 x 5 + 6

We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get

39 = 6 x 6 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7263 and 7905 is 3

Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(201,39) = HCF(642,201) = HCF(7263,642) = HCF(7905,7263) .

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Frequently Asked Questions on HCF of 7263, 7905 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 7263, 7905?

Answer: HCF of 7263, 7905 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7263, 7905 using Euclid's Algorithm?

Answer: For arbitrary numbers 7263, 7905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.