Highest Common Factor of 145, 203, 836, 874 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 145, 203, 836, 874 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 145, 203, 836, 874 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 145, 203, 836, 874 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 145, 203, 836, 874 is 1.

HCF(145, 203, 836, 874) = 1

HCF of 145, 203, 836, 874 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 145, 203, 836, 874 is 1.

Highest Common Factor of 145,203,836,874 using Euclid's algorithm

Highest Common Factor of 145,203,836,874 is 1

Step 1: Since 203 > 145, we apply the division lemma to 203 and 145, to get

203 = 145 x 1 + 58

Step 2: Since the reminder 145 ≠ 0, we apply division lemma to 58 and 145, to get

145 = 58 x 2 + 29

Step 3: We consider the new divisor 58 and the new remainder 29, and apply the division lemma to get

58 = 29 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 145 and 203 is 29

Notice that 29 = HCF(58,29) = HCF(145,58) = HCF(203,145) .

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

Step 1: Since 836 > 29, we apply the division lemma to 836 and 29, to get

836 = 29 x 28 + 24

Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 24 and 29, to get

29 = 24 x 1 + 5

Step 3: We consider the new divisor 24 and the new remainder 5, and apply the division lemma to get

24 = 5 x 4 + 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 29 and 836 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(836,29) .

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

Step 1: Since 874 > 1, we apply the division lemma to 874 and 1, to get

874 = 1 x 874 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 874 is 1

Notice that 1 = HCF(874,1) .

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Frequently Asked Questions on HCF of 145, 203, 836, 874 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 145, 203, 836, 874?

Answer: HCF of 145, 203, 836, 874 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 145, 203, 836, 874 using Euclid's Algorithm?

Answer: For arbitrary numbers 145, 203, 836, 874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.