Highest Common Factor of 883, 534, 652 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, 534, 652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 883, 534, 652 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, 534, 652 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, 534, 652 is 1.

HCF(883, 534, 652) = 1

HCF of 883, 534, 652 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, 534, 652 is 1.

Highest Common Factor of 883,534,652 using Euclid's algorithm

Highest Common Factor of 883,534,652 is 1

Step 1: Since 883 > 534, we apply the division lemma to 883 and 534, to get

883 = 534 x 1 + 349

Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 349 and 534, to get

534 = 349 x 1 + 185

Step 3: We consider the new divisor 349 and the new remainder 185, and apply the division lemma to get

349 = 185 x 1 + 164

We consider the new divisor 185 and the new remainder 164,and apply the division lemma to get

185 = 164 x 1 + 21

We consider the new divisor 164 and the new remainder 21,and apply the division lemma to get

164 = 21 x 7 + 17

We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get

21 = 17 x 1 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 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 883 and 534 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(164,21) = HCF(185,164) = HCF(349,185) = HCF(534,349) = HCF(883,534) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 652 > 1, we apply the division lemma to 652 and 1, to get

652 = 1 x 652 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 652 is 1

Notice that 1 = HCF(652,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 883, 534, 652 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, 534, 652?

Answer: HCF of 883, 534, 652 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 883, 534, 652 using Euclid's Algorithm?

Answer: For arbitrary numbers 883, 534, 652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.