Highest Common Factor of 799, 963, 120 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 799, 963, 120 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 799, 963, 120 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 799, 963, 120 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 799, 963, 120 is 1.

HCF(799, 963, 120) = 1

HCF of 799, 963, 120 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 799, 963, 120 is 1.

Highest Common Factor of 799,963,120 using Euclid's algorithm

Highest Common Factor of 799,963,120 is 1

Step 1: Since 963 > 799, we apply the division lemma to 963 and 799, to get

963 = 799 x 1 + 164

Step 2: Since the reminder 799 ≠ 0, we apply division lemma to 164 and 799, to get

799 = 164 x 4 + 143

Step 3: We consider the new divisor 164 and the new remainder 143, and apply the division lemma to get

164 = 143 x 1 + 21

We consider the new divisor 143 and the new remainder 21,and apply the division lemma to get

143 = 21 x 6 + 17

We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get

21 = 17 x 1 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 799 and 963 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(143,21) = HCF(164,143) = HCF(799,164) = HCF(963,799) .

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

Step 1: Since 120 > 1, we apply the division lemma to 120 and 1, to get

120 = 1 x 120 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 120 is 1

Notice that 1 = HCF(120,1) .

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Frequently Asked Questions on HCF of 799, 963, 120 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 799, 963, 120?

Answer: HCF of 799, 963, 120 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 799, 963, 120 using Euclid's Algorithm?

Answer: For arbitrary numbers 799, 963, 120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.