Highest Common Factor of 5153, 5956 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 5153, 5956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5153, 5956 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 5153, 5956 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 5153, 5956 is 1.

HCF(5153, 5956) = 1

HCF of 5153, 5956 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 5153, 5956 is 1.

Highest Common Factor of 5153,5956 using Euclid's algorithm

Highest Common Factor of 5153,5956 is 1

Step 1: Since 5956 > 5153, we apply the division lemma to 5956 and 5153, to get

5956 = 5153 x 1 + 803

Step 2: Since the reminder 5153 ≠ 0, we apply division lemma to 803 and 5153, to get

5153 = 803 x 6 + 335

Step 3: We consider the new divisor 803 and the new remainder 335, and apply the division lemma to get

803 = 335 x 2 + 133

We consider the new divisor 335 and the new remainder 133,and apply the division lemma to get

335 = 133 x 2 + 69

We consider the new divisor 133 and the new remainder 69,and apply the division lemma to get

133 = 69 x 1 + 64

We consider the new divisor 69 and the new remainder 64,and apply the division lemma to get

69 = 64 x 1 + 5

We consider the new divisor 64 and the new remainder 5,and apply the division lemma to get

64 = 5 x 12 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 5153 and 5956 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(64,5) = HCF(69,64) = HCF(133,69) = HCF(335,133) = HCF(803,335) = HCF(5153,803) = HCF(5956,5153) .

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Frequently Asked Questions on HCF of 5153, 5956 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 5153, 5956?

Answer: HCF of 5153, 5956 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5153, 5956 using Euclid's Algorithm?

Answer: For arbitrary numbers 5153, 5956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.