Highest Common Factor of 533, 4295 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 533, 4295 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 533, 4295 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 533, 4295 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 533, 4295 is 1.

HCF(533, 4295) = 1

HCF of 533, 4295 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 533, 4295 is 1.

Highest Common Factor of 533,4295 using Euclid's algorithm

Highest Common Factor of 533,4295 is 1

Step 1: Since 4295 > 533, we apply the division lemma to 4295 and 533, to get

4295 = 533 x 8 + 31

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 31 and 533, to get

533 = 31 x 17 + 6

Step 3: We consider the new divisor 31 and the new remainder 6, and apply the division lemma to get

31 = 6 x 5 + 1

We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 533 and 4295 is 1

Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(533,31) = HCF(4295,533) .

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Frequently Asked Questions on HCF of 533, 4295 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 533, 4295?

Answer: HCF of 533, 4295 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 533, 4295 using Euclid's Algorithm?

Answer: For arbitrary numbers 533, 4295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.