Highest Common Factor of 845, 2846, 3494 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 845, 2846, 3494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 845, 2846, 3494 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 845, 2846, 3494 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 845, 2846, 3494 is 1.

HCF(845, 2846, 3494) = 1

HCF of 845, 2846, 3494 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 845, 2846, 3494 is 1.

Highest Common Factor of 845,2846,3494 using Euclid's algorithm

Highest Common Factor of 845,2846,3494 is 1

Step 1: Since 2846 > 845, we apply the division lemma to 2846 and 845, to get

2846 = 845 x 3 + 311

Step 2: Since the reminder 845 ≠ 0, we apply division lemma to 311 and 845, to get

845 = 311 x 2 + 223

Step 3: We consider the new divisor 311 and the new remainder 223, and apply the division lemma to get

311 = 223 x 1 + 88

We consider the new divisor 223 and the new remainder 88,and apply the division lemma to get

223 = 88 x 2 + 47

We consider the new divisor 88 and the new remainder 47,and apply the division lemma to get

88 = 47 x 1 + 41

We consider the new divisor 47 and the new remainder 41,and apply the division lemma to get

47 = 41 x 1 + 6

We consider the new divisor 41 and the new remainder 6,and apply the division lemma to get

41 = 6 x 6 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 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 845 and 2846 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(41,6) = HCF(47,41) = HCF(88,47) = HCF(223,88) = HCF(311,223) = HCF(845,311) = HCF(2846,845) .

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

Step 1: Since 3494 > 1, we apply the division lemma to 3494 and 1, to get

3494 = 1 x 3494 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3494 is 1

Notice that 1 = HCF(3494,1) .

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Frequently Asked Questions on HCF of 845, 2846, 3494 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 845, 2846, 3494?

Answer: HCF of 845, 2846, 3494 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 845, 2846, 3494 using Euclid's Algorithm?

Answer: For arbitrary numbers 845, 2846, 3494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.