Highest Common Factor of 769, 994, 794 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 769, 994, 794 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 769, 994, 794 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 769, 994, 794 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 769, 994, 794 is 1.

HCF(769, 994, 794) = 1

HCF of 769, 994, 794 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 769, 994, 794 is 1.

Highest Common Factor of 769,994,794 using Euclid's algorithm

Highest Common Factor of 769,994,794 is 1

Step 1: Since 994 > 769, we apply the division lemma to 994 and 769, to get

994 = 769 x 1 + 225

Step 2: Since the reminder 769 ≠ 0, we apply division lemma to 225 and 769, to get

769 = 225 x 3 + 94

Step 3: We consider the new divisor 225 and the new remainder 94, and apply the division lemma to get

225 = 94 x 2 + 37

We consider the new divisor 94 and the new remainder 37,and apply the division lemma to get

94 = 37 x 2 + 20

We consider the new divisor 37 and the new remainder 20,and apply the division lemma to get

37 = 20 x 1 + 17

We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get

20 = 17 x 1 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 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 769 and 994 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(37,20) = HCF(94,37) = HCF(225,94) = HCF(769,225) = HCF(994,769) .

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

Step 1: Since 794 > 1, we apply the division lemma to 794 and 1, to get

794 = 1 x 794 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 794 is 1

Notice that 1 = HCF(794,1) .

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Frequently Asked Questions on HCF of 769, 994, 794 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 769, 994, 794?

Answer: HCF of 769, 994, 794 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 769, 994, 794 using Euclid's Algorithm?

Answer: For arbitrary numbers 769, 994, 794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.