Highest Common Factor of 5233, 7295 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 5233, 7295 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5233, 7295 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 5233, 7295 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 5233, 7295 is 1.

HCF(5233, 7295) = 1

HCF of 5233, 7295 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 5233, 7295 is 1.

Highest Common Factor of 5233,7295 using Euclid's algorithm

Highest Common Factor of 5233,7295 is 1

Step 1: Since 7295 > 5233, we apply the division lemma to 7295 and 5233, to get

7295 = 5233 x 1 + 2062

Step 2: Since the reminder 5233 ≠ 0, we apply division lemma to 2062 and 5233, to get

5233 = 2062 x 2 + 1109

Step 3: We consider the new divisor 2062 and the new remainder 1109, and apply the division lemma to get

2062 = 1109 x 1 + 953

We consider the new divisor 1109 and the new remainder 953,and apply the division lemma to get

1109 = 953 x 1 + 156

We consider the new divisor 953 and the new remainder 156,and apply the division lemma to get

953 = 156 x 6 + 17

We consider the new divisor 156 and the new remainder 17,and apply the division lemma to get

156 = 17 x 9 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 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 5233 and 7295 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(156,17) = HCF(953,156) = HCF(1109,953) = HCF(2062,1109) = HCF(5233,2062) = HCF(7295,5233) .

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Frequently Asked Questions on HCF of 5233, 7295 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 5233, 7295?

Answer: HCF of 5233, 7295 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5233, 7295 using Euclid's Algorithm?

Answer: For arbitrary numbers 5233, 7295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.