Highest Common Factor of 954, 789, 802 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 954, 789, 802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 954, 789, 802 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 954, 789, 802 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 954, 789, 802 is 1.

HCF(954, 789, 802) = 1

HCF of 954, 789, 802 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 954, 789, 802 is 1.

Highest Common Factor of 954,789,802 using Euclid's algorithm

Highest Common Factor of 954,789,802 is 1

Step 1: Since 954 > 789, we apply the division lemma to 954 and 789, to get

954 = 789 x 1 + 165

Step 2: Since the reminder 789 ≠ 0, we apply division lemma to 165 and 789, to get

789 = 165 x 4 + 129

Step 3: We consider the new divisor 165 and the new remainder 129, and apply the division lemma to get

165 = 129 x 1 + 36

We consider the new divisor 129 and the new remainder 36,and apply the division lemma to get

129 = 36 x 3 + 21

We consider the new divisor 36 and the new remainder 21,and apply the division lemma to get

36 = 21 x 1 + 15

We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get

21 = 15 x 1 + 6

We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get

15 = 6 x 2 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 954 and 789 is 3

Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(36,21) = HCF(129,36) = HCF(165,129) = HCF(789,165) = HCF(954,789) .

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

Step 1: Since 802 > 3, we apply the division lemma to 802 and 3, to get

802 = 3 x 267 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 802 is 1

Notice that 1 = HCF(3,1) = HCF(802,3) .

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Frequently Asked Questions on HCF of 954, 789, 802 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 954, 789, 802?

Answer: HCF of 954, 789, 802 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 954, 789, 802 using Euclid's Algorithm?

Answer: For arbitrary numbers 954, 789, 802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.