Highest Common Factor of 6561, 8948, 95092 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 6561, 8948, 95092 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6561, 8948, 95092 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 6561, 8948, 95092 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 6561, 8948, 95092 is 1.

HCF(6561, 8948, 95092) = 1

HCF of 6561, 8948, 95092 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 6561, 8948, 95092 is 1.

Highest Common Factor of 6561,8948,95092 using Euclid's algorithm

Highest Common Factor of 6561,8948,95092 is 1

Step 1: Since 8948 > 6561, we apply the division lemma to 8948 and 6561, to get

8948 = 6561 x 1 + 2387

Step 2: Since the reminder 6561 ≠ 0, we apply division lemma to 2387 and 6561, to get

6561 = 2387 x 2 + 1787

Step 3: We consider the new divisor 2387 and the new remainder 1787, and apply the division lemma to get

2387 = 1787 x 1 + 600

We consider the new divisor 1787 and the new remainder 600,and apply the division lemma to get

1787 = 600 x 2 + 587

We consider the new divisor 600 and the new remainder 587,and apply the division lemma to get

600 = 587 x 1 + 13

We consider the new divisor 587 and the new remainder 13,and apply the division lemma to get

587 = 13 x 45 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 6561 and 8948 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(587,13) = HCF(600,587) = HCF(1787,600) = HCF(2387,1787) = HCF(6561,2387) = HCF(8948,6561) .

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

Step 1: Since 95092 > 1, we apply the division lemma to 95092 and 1, to get

95092 = 1 x 95092 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95092 is 1

Notice that 1 = HCF(95092,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6561, 8948, 95092 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 6561, 8948, 95092?

Answer: HCF of 6561, 8948, 95092 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6561, 8948, 95092 using Euclid's Algorithm?

Answer: For arbitrary numbers 6561, 8948, 95092 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.