Highest Common Factor of 832, 522, 599, 424 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 832, 522, 599, 424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 832, 522, 599, 424 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 832, 522, 599, 424 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 832, 522, 599, 424 is 1.

HCF(832, 522, 599, 424) = 1

HCF of 832, 522, 599, 424 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 832, 522, 599, 424 is 1.

Highest Common Factor of 832,522,599,424 using Euclid's algorithm

Highest Common Factor of 832,522,599,424 is 1

Step 1: Since 832 > 522, we apply the division lemma to 832 and 522, to get

832 = 522 x 1 + 310

Step 2: Since the reminder 522 ≠ 0, we apply division lemma to 310 and 522, to get

522 = 310 x 1 + 212

Step 3: We consider the new divisor 310 and the new remainder 212, and apply the division lemma to get

310 = 212 x 1 + 98

We consider the new divisor 212 and the new remainder 98,and apply the division lemma to get

212 = 98 x 2 + 16

We consider the new divisor 98 and the new remainder 16,and apply the division lemma to get

98 = 16 x 6 + 2

We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get

16 = 2 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 832 and 522 is 2

Notice that 2 = HCF(16,2) = HCF(98,16) = HCF(212,98) = HCF(310,212) = HCF(522,310) = HCF(832,522) .

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

Step 1: Since 599 > 2, we apply the division lemma to 599 and 2, to get

599 = 2 x 299 + 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 599 is 1

Notice that 1 = HCF(2,1) = HCF(599,2) .

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

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

424 = 1 x 424 + 0

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

Notice that 1 = HCF(424,1) .

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Frequently Asked Questions on HCF of 832, 522, 599, 424 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 832, 522, 599, 424?

Answer: HCF of 832, 522, 599, 424 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 832, 522, 599, 424 using Euclid's Algorithm?

Answer: For arbitrary numbers 832, 522, 599, 424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.