Highest Common Factor of 496, 787, 15, 600 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 496, 787, 15, 600 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 496, 787, 15, 600 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 496, 787, 15, 600 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 496, 787, 15, 600 is 1.

HCF(496, 787, 15, 600) = 1

HCF of 496, 787, 15, 600 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 496, 787, 15, 600 is 1.

Highest Common Factor of 496,787,15,600 using Euclid's algorithm

Highest Common Factor of 496,787,15,600 is 1

Step 1: Since 787 > 496, we apply the division lemma to 787 and 496, to get

787 = 496 x 1 + 291

Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 291 and 496, to get

496 = 291 x 1 + 205

Step 3: We consider the new divisor 291 and the new remainder 205, and apply the division lemma to get

291 = 205 x 1 + 86

We consider the new divisor 205 and the new remainder 86,and apply the division lemma to get

205 = 86 x 2 + 33

We consider the new divisor 86 and the new remainder 33,and apply the division lemma to get

86 = 33 x 2 + 20

We consider the new divisor 33 and the new remainder 20,and apply the division lemma to get

33 = 20 x 1 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 496 and 787 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(33,20) = HCF(86,33) = HCF(205,86) = HCF(291,205) = HCF(496,291) = HCF(787,496) .

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

Step 1: Since 15 > 1, we apply the division lemma to 15 and 1, to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15 is 1

Notice that 1 = HCF(15,1) .

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

Step 1: Since 600 > 1, we apply the division lemma to 600 and 1, to get

600 = 1 x 600 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 600 is 1

Notice that 1 = HCF(600,1) .

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Frequently Asked Questions on HCF of 496, 787, 15, 600 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 496, 787, 15, 600?

Answer: HCF of 496, 787, 15, 600 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 496, 787, 15, 600 using Euclid's Algorithm?

Answer: For arbitrary numbers 496, 787, 15, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.