Highest Common Factor of 837, 2725, 1467 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 837, 2725, 1467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 837, 2725, 1467 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 837, 2725, 1467 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 837, 2725, 1467 is 1.

HCF(837, 2725, 1467) = 1

HCF of 837, 2725, 1467 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 837, 2725, 1467 is 1.

Highest Common Factor of 837,2725,1467 using Euclid's algorithm

Highest Common Factor of 837,2725,1467 is 1

Step 1: Since 2725 > 837, we apply the division lemma to 2725 and 837, to get

2725 = 837 x 3 + 214

Step 2: Since the reminder 837 ≠ 0, we apply division lemma to 214 and 837, to get

837 = 214 x 3 + 195

Step 3: We consider the new divisor 214 and the new remainder 195, and apply the division lemma to get

214 = 195 x 1 + 19

We consider the new divisor 195 and the new remainder 19,and apply the division lemma to get

195 = 19 x 10 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 837 and 2725 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(195,19) = HCF(214,195) = HCF(837,214) = HCF(2725,837) .

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

Step 1: Since 1467 > 1, we apply the division lemma to 1467 and 1, to get

1467 = 1 x 1467 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1467 is 1

Notice that 1 = HCF(1467,1) .

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Frequently Asked Questions on HCF of 837, 2725, 1467 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 837, 2725, 1467?

Answer: HCF of 837, 2725, 1467 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 837, 2725, 1467 using Euclid's Algorithm?

Answer: For arbitrary numbers 837, 2725, 1467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.