Highest Common Factor of 4946, 9250, 10423 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 4946, 9250, 10423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4946, 9250, 10423 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 4946, 9250, 10423 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 4946, 9250, 10423 is 1.

HCF(4946, 9250, 10423) = 1

HCF of 4946, 9250, 10423 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 4946, 9250, 10423 is 1.

Highest Common Factor of 4946,9250,10423 using Euclid's algorithm

Highest Common Factor of 4946,9250,10423 is 1

Step 1: Since 9250 > 4946, we apply the division lemma to 9250 and 4946, to get

9250 = 4946 x 1 + 4304

Step 2: Since the reminder 4946 ≠ 0, we apply division lemma to 4304 and 4946, to get

4946 = 4304 x 1 + 642

Step 3: We consider the new divisor 4304 and the new remainder 642, and apply the division lemma to get

4304 = 642 x 6 + 452

We consider the new divisor 642 and the new remainder 452,and apply the division lemma to get

642 = 452 x 1 + 190

We consider the new divisor 452 and the new remainder 190,and apply the division lemma to get

452 = 190 x 2 + 72

We consider the new divisor 190 and the new remainder 72,and apply the division lemma to get

190 = 72 x 2 + 46

We consider the new divisor 72 and the new remainder 46,and apply the division lemma to get

72 = 46 x 1 + 26

We consider the new divisor 46 and the new remainder 26,and apply the division lemma to get

46 = 26 x 1 + 20

We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get

26 = 20 x 1 + 6

We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get

20 = 6 x 3 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4946 and 9250 is 2

Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(46,26) = HCF(72,46) = HCF(190,72) = HCF(452,190) = HCF(642,452) = HCF(4304,642) = HCF(4946,4304) = HCF(9250,4946) .

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

Step 1: Since 10423 > 2, we apply the division lemma to 10423 and 2, to get

10423 = 2 x 5211 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 10423 is 1

Notice that 1 = HCF(2,1) = HCF(10423,2) .

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Frequently Asked Questions on HCF of 4946, 9250, 10423 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 4946, 9250, 10423?

Answer: HCF of 4946, 9250, 10423 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4946, 9250, 10423 using Euclid's Algorithm?

Answer: For arbitrary numbers 4946, 9250, 10423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.