Highest Common Factor of 1124, 6423, 70856 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 1124, 6423, 70856 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1124, 6423, 70856 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 1124, 6423, 70856 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 1124, 6423, 70856 is 1.

HCF(1124, 6423, 70856) = 1

HCF of 1124, 6423, 70856 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 1124, 6423, 70856 is 1.

Highest Common Factor of 1124,6423,70856 using Euclid's algorithm

Highest Common Factor of 1124,6423,70856 is 1

Step 1: Since 6423 > 1124, we apply the division lemma to 6423 and 1124, to get

6423 = 1124 x 5 + 803

Step 2: Since the reminder 1124 ≠ 0, we apply division lemma to 803 and 1124, to get

1124 = 803 x 1 + 321

Step 3: We consider the new divisor 803 and the new remainder 321, and apply the division lemma to get

803 = 321 x 2 + 161

We consider the new divisor 321 and the new remainder 161,and apply the division lemma to get

321 = 161 x 1 + 160

We consider the new divisor 161 and the new remainder 160,and apply the division lemma to get

161 = 160 x 1 + 1

We consider the new divisor 160 and the new remainder 1,and apply the division lemma to get

160 = 1 x 160 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1124 and 6423 is 1

Notice that 1 = HCF(160,1) = HCF(161,160) = HCF(321,161) = HCF(803,321) = HCF(1124,803) = HCF(6423,1124) .

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

Step 1: Since 70856 > 1, we apply the division lemma to 70856 and 1, to get

70856 = 1 x 70856 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70856 is 1

Notice that 1 = HCF(70856,1) .

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Frequently Asked Questions on HCF of 1124, 6423, 70856 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 1124, 6423, 70856?

Answer: HCF of 1124, 6423, 70856 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1124, 6423, 70856 using Euclid's Algorithm?

Answer: For arbitrary numbers 1124, 6423, 70856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.