Highest Common Factor of 8951, 6666, 48159 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 8951, 6666, 48159 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8951, 6666, 48159 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 8951, 6666, 48159 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 8951, 6666, 48159 is 1.

HCF(8951, 6666, 48159) = 1

HCF of 8951, 6666, 48159 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 8951, 6666, 48159 is 1.

Highest Common Factor of 8951,6666,48159 using Euclid's algorithm

Highest Common Factor of 8951,6666,48159 is 1

Step 1: Since 8951 > 6666, we apply the division lemma to 8951 and 6666, to get

8951 = 6666 x 1 + 2285

Step 2: Since the reminder 6666 ≠ 0, we apply division lemma to 2285 and 6666, to get

6666 = 2285 x 2 + 2096

Step 3: We consider the new divisor 2285 and the new remainder 2096, and apply the division lemma to get

2285 = 2096 x 1 + 189

We consider the new divisor 2096 and the new remainder 189,and apply the division lemma to get

2096 = 189 x 11 + 17

We consider the new divisor 189 and the new remainder 17,and apply the division lemma to get

189 = 17 x 11 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 8951 and 6666 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(189,17) = HCF(2096,189) = HCF(2285,2096) = HCF(6666,2285) = HCF(8951,6666) .

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

Step 1: Since 48159 > 1, we apply the division lemma to 48159 and 1, to get

48159 = 1 x 48159 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48159 is 1

Notice that 1 = HCF(48159,1) .

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Frequently Asked Questions on HCF of 8951, 6666, 48159 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 8951, 6666, 48159?

Answer: HCF of 8951, 6666, 48159 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8951, 6666, 48159 using Euclid's Algorithm?

Answer: For arbitrary numbers 8951, 6666, 48159 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.