Highest Common Factor of 988, 596, 796 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 988, 596, 796 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 988, 596, 796 is 4 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 988, 596, 796 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 988, 596, 796 is 4.

HCF(988, 596, 796) = 4

HCF of 988, 596, 796 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 988, 596, 796 is 4.

Highest Common Factor of 988,596,796 using Euclid's algorithm

Highest Common Factor of 988,596,796 is 4

Step 1: Since 988 > 596, we apply the division lemma to 988 and 596, to get

988 = 596 x 1 + 392

Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 392 and 596, to get

596 = 392 x 1 + 204

Step 3: We consider the new divisor 392 and the new remainder 204, and apply the division lemma to get

392 = 204 x 1 + 188

We consider the new divisor 204 and the new remainder 188,and apply the division lemma to get

204 = 188 x 1 + 16

We consider the new divisor 188 and the new remainder 16,and apply the division lemma to get

188 = 16 x 11 + 12

We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get

16 = 12 x 1 + 4

We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get

12 = 4 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 988 and 596 is 4

Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(188,16) = HCF(204,188) = HCF(392,204) = HCF(596,392) = HCF(988,596) .

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

Step 1: Since 796 > 4, we apply the division lemma to 796 and 4, to get

796 = 4 x 199 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 796 is 4

Notice that 4 = HCF(796,4) .

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Frequently Asked Questions on HCF of 988, 596, 796 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 988, 596, 796?

Answer: HCF of 988, 596, 796 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 988, 596, 796 using Euclid's Algorithm?

Answer: For arbitrary numbers 988, 596, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.