Highest Common Factor of 424, 601, 869 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 424, 601, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 424, 601, 869 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 424, 601, 869 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 424, 601, 869 is 1.

HCF(424, 601, 869) = 1

HCF of 424, 601, 869 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 424, 601, 869 is 1.

Highest Common Factor of 424,601,869 using Euclid's algorithm

Highest Common Factor of 424,601,869 is 1

Step 1: Since 601 > 424, we apply the division lemma to 601 and 424, to get

601 = 424 x 1 + 177

Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 177 and 424, to get

424 = 177 x 2 + 70

Step 3: We consider the new divisor 177 and the new remainder 70, and apply the division lemma to get

177 = 70 x 2 + 37

We consider the new divisor 70 and the new remainder 37,and apply the division lemma to get

70 = 37 x 1 + 33

We consider the new divisor 37 and the new remainder 33,and apply the division lemma to get

37 = 33 x 1 + 4

We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get

33 = 4 x 8 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 424 and 601 is 1

Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(37,33) = HCF(70,37) = HCF(177,70) = HCF(424,177) = HCF(601,424) .

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

Step 1: Since 869 > 1, we apply the division lemma to 869 and 1, to get

869 = 1 x 869 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 869 is 1

Notice that 1 = HCF(869,1) .

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Frequently Asked Questions on HCF of 424, 601, 869 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 424, 601, 869?

Answer: HCF of 424, 601, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 424, 601, 869 using Euclid's Algorithm?

Answer: For arbitrary numbers 424, 601, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.