Highest Common Factor of 954, 7464, 8909 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, 7464, 8909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 954, 7464, 8909 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, 7464, 8909 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, 7464, 8909 is 1.

HCF(954, 7464, 8909) = 1

HCF of 954, 7464, 8909 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, 7464, 8909 is 1.

Highest Common Factor of 954,7464,8909 using Euclid's algorithm

Highest Common Factor of 954,7464,8909 is 1

Step 1: Since 7464 > 954, we apply the division lemma to 7464 and 954, to get

7464 = 954 x 7 + 786

Step 2: Since the reminder 954 ≠ 0, we apply division lemma to 786 and 954, to get

954 = 786 x 1 + 168

Step 3: We consider the new divisor 786 and the new remainder 168, and apply the division lemma to get

786 = 168 x 4 + 114

We consider the new divisor 168 and the new remainder 114,and apply the division lemma to get

168 = 114 x 1 + 54

We consider the new divisor 114 and the new remainder 54,and apply the division lemma to get

114 = 54 x 2 + 6

We consider the new divisor 54 and the new remainder 6,and apply the division lemma to get

54 = 6 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 954 and 7464 is 6

Notice that 6 = HCF(54,6) = HCF(114,54) = HCF(168,114) = HCF(786,168) = HCF(954,786) = HCF(7464,954) .

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

Step 1: Since 8909 > 6, we apply the division lemma to 8909 and 6, to get

8909 = 6 x 1484 + 5

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 5 and 6, to get

6 = 5 x 1 + 1

Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 8909 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(8909,6) .

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Frequently Asked Questions on HCF of 954, 7464, 8909 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, 7464, 8909?

Answer: HCF of 954, 7464, 8909 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 954, 7464, 8909 using Euclid's Algorithm?

Answer: For arbitrary numbers 954, 7464, 8909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.