Highest Common Factor of 883, 535 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 883, 535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 883, 535 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 883, 535 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 883, 535 is 1.

HCF(883, 535) = 1

HCF of 883, 535 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 883, 535 is 1.

Highest Common Factor of 883,535 using Euclid's algorithm

Highest Common Factor of 883,535 is 1

Step 1: Since 883 > 535, we apply the division lemma to 883 and 535, to get

883 = 535 x 1 + 348

Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 348 and 535, to get

535 = 348 x 1 + 187

Step 3: We consider the new divisor 348 and the new remainder 187, and apply the division lemma to get

348 = 187 x 1 + 161

We consider the new divisor 187 and the new remainder 161,and apply the division lemma to get

187 = 161 x 1 + 26

We consider the new divisor 161 and the new remainder 26,and apply the division lemma to get

161 = 26 x 6 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 883 and 535 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(161,26) = HCF(187,161) = HCF(348,187) = HCF(535,348) = HCF(883,535) .

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Frequently Asked Questions on HCF of 883, 535 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 883, 535?

Answer: HCF of 883, 535 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 883, 535 using Euclid's Algorithm?

Answer: For arbitrary numbers 883, 535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.