Highest Common Factor of 5299, 3298, 50509 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 5299, 3298, 50509 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5299, 3298, 50509 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 5299, 3298, 50509 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 5299, 3298, 50509 is 1.

HCF(5299, 3298, 50509) = 1

HCF of 5299, 3298, 50509 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 5299, 3298, 50509 is 1.

Highest Common Factor of 5299,3298,50509 using Euclid's algorithm

Highest Common Factor of 5299,3298,50509 is 1

Step 1: Since 5299 > 3298, we apply the division lemma to 5299 and 3298, to get

5299 = 3298 x 1 + 2001

Step 2: Since the reminder 3298 ≠ 0, we apply division lemma to 2001 and 3298, to get

3298 = 2001 x 1 + 1297

Step 3: We consider the new divisor 2001 and the new remainder 1297, and apply the division lemma to get

2001 = 1297 x 1 + 704

We consider the new divisor 1297 and the new remainder 704,and apply the division lemma to get

1297 = 704 x 1 + 593

We consider the new divisor 704 and the new remainder 593,and apply the division lemma to get

704 = 593 x 1 + 111

We consider the new divisor 593 and the new remainder 111,and apply the division lemma to get

593 = 111 x 5 + 38

We consider the new divisor 111 and the new remainder 38,and apply the division lemma to get

111 = 38 x 2 + 35

We consider the new divisor 38 and the new remainder 35,and apply the division lemma to get

38 = 35 x 1 + 3

We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get

35 = 3 x 11 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 5299 and 3298 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(38,35) = HCF(111,38) = HCF(593,111) = HCF(704,593) = HCF(1297,704) = HCF(2001,1297) = HCF(3298,2001) = HCF(5299,3298) .

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

Step 1: Since 50509 > 1, we apply the division lemma to 50509 and 1, to get

50509 = 1 x 50509 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50509 is 1

Notice that 1 = HCF(50509,1) .

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Frequently Asked Questions on HCF of 5299, 3298, 50509 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 5299, 3298, 50509?

Answer: HCF of 5299, 3298, 50509 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5299, 3298, 50509 using Euclid's Algorithm?

Answer: For arbitrary numbers 5299, 3298, 50509 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.