Highest Common Factor of 838, 523, 998, 759 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 838, 523, 998, 759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 838, 523, 998, 759 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 838, 523, 998, 759 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 838, 523, 998, 759 is 1.

HCF(838, 523, 998, 759) = 1

HCF of 838, 523, 998, 759 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 838, 523, 998, 759 is 1.

Highest Common Factor of 838,523,998,759 using Euclid's algorithm

Highest Common Factor of 838,523,998,759 is 1

Step 1: Since 838 > 523, we apply the division lemma to 838 and 523, to get

838 = 523 x 1 + 315

Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 315 and 523, to get

523 = 315 x 1 + 208

Step 3: We consider the new divisor 315 and the new remainder 208, and apply the division lemma to get

315 = 208 x 1 + 107

We consider the new divisor 208 and the new remainder 107,and apply the division lemma to get

208 = 107 x 1 + 101

We consider the new divisor 107 and the new remainder 101,and apply the division lemma to get

107 = 101 x 1 + 6

We consider the new divisor 101 and the new remainder 6,and apply the division lemma to get

101 = 6 x 16 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 838 and 523 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(101,6) = HCF(107,101) = HCF(208,107) = HCF(315,208) = HCF(523,315) = HCF(838,523) .

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

Step 1: Since 998 > 1, we apply the division lemma to 998 and 1, to get

998 = 1 x 998 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 998 is 1

Notice that 1 = HCF(998,1) .

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

Step 1: Since 759 > 1, we apply the division lemma to 759 and 1, to get

759 = 1 x 759 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 759 is 1

Notice that 1 = HCF(759,1) .

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Frequently Asked Questions on HCF of 838, 523, 998, 759 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 838, 523, 998, 759?

Answer: HCF of 838, 523, 998, 759 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 838, 523, 998, 759 using Euclid's Algorithm?

Answer: For arbitrary numbers 838, 523, 998, 759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.