Highest Common Factor of 840, 385, 837 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 840, 385, 837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 840, 385, 837 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 840, 385, 837 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 840, 385, 837 is 1.

HCF(840, 385, 837) = 1

HCF of 840, 385, 837 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 840, 385, 837 is 1.

Highest Common Factor of 840,385,837 using Euclid's algorithm

Highest Common Factor of 840,385,837 is 1

Step 1: Since 840 > 385, we apply the division lemma to 840 and 385, to get

840 = 385 x 2 + 70

Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 70 and 385, to get

385 = 70 x 5 + 35

Step 3: We consider the new divisor 70 and the new remainder 35, and apply the division lemma to get

70 = 35 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 840 and 385 is 35

Notice that 35 = HCF(70,35) = HCF(385,70) = HCF(840,385) .

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

Step 1: Since 837 > 35, we apply the division lemma to 837 and 35, to get

837 = 35 x 23 + 32

Step 2: Since the reminder 35 ≠ 0, we apply division lemma to 32 and 35, to get

35 = 32 x 1 + 3

Step 3: We consider the new divisor 32 and the new remainder 3, and apply the division lemma to get

32 = 3 x 10 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 35 and 837 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(837,35) .

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Frequently Asked Questions on HCF of 840, 385, 837 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 840, 385, 837?

Answer: HCF of 840, 385, 837 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 840, 385, 837 using Euclid's Algorithm?

Answer: For arbitrary numbers 840, 385, 837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.