Highest Common Factor of 846, 471, 898 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 846, 471, 898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 846, 471, 898 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 846, 471, 898 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 846, 471, 898 is 1.

HCF(846, 471, 898) = 1

HCF of 846, 471, 898 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 846, 471, 898 is 1.

Highest Common Factor of 846,471,898 using Euclid's algorithm

Highest Common Factor of 846,471,898 is 1

Step 1: Since 846 > 471, we apply the division lemma to 846 and 471, to get

846 = 471 x 1 + 375

Step 2: Since the reminder 471 ≠ 0, we apply division lemma to 375 and 471, to get

471 = 375 x 1 + 96

Step 3: We consider the new divisor 375 and the new remainder 96, and apply the division lemma to get

375 = 96 x 3 + 87

We consider the new divisor 96 and the new remainder 87,and apply the division lemma to get

96 = 87 x 1 + 9

We consider the new divisor 87 and the new remainder 9,and apply the division lemma to get

87 = 9 x 9 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 846 and 471 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(87,9) = HCF(96,87) = HCF(375,96) = HCF(471,375) = HCF(846,471) .

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

Step 1: Since 898 > 3, we apply the division lemma to 898 and 3, to get

898 = 3 x 299 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 898 is 1

Notice that 1 = HCF(3,1) = HCF(898,3) .

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Frequently Asked Questions on HCF of 846, 471, 898 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 846, 471, 898?

Answer: HCF of 846, 471, 898 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 846, 471, 898 using Euclid's Algorithm?

Answer: For arbitrary numbers 846, 471, 898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.