Highest Common Factor of 4968, 5685, 90841 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 4968, 5685, 90841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4968, 5685, 90841 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 4968, 5685, 90841 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 4968, 5685, 90841 is 1.

HCF(4968, 5685, 90841) = 1

HCF of 4968, 5685, 90841 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 4968, 5685, 90841 is 1.

Highest Common Factor of 4968,5685,90841 using Euclid's algorithm

Highest Common Factor of 4968,5685,90841 is 1

Step 1: Since 5685 > 4968, we apply the division lemma to 5685 and 4968, to get

5685 = 4968 x 1 + 717

Step 2: Since the reminder 4968 ≠ 0, we apply division lemma to 717 and 4968, to get

4968 = 717 x 6 + 666

Step 3: We consider the new divisor 717 and the new remainder 666, and apply the division lemma to get

717 = 666 x 1 + 51

We consider the new divisor 666 and the new remainder 51,and apply the division lemma to get

666 = 51 x 13 + 3

We consider the new divisor 51 and the new remainder 3,and apply the division lemma to get

51 = 3 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4968 and 5685 is 3

Notice that 3 = HCF(51,3) = HCF(666,51) = HCF(717,666) = HCF(4968,717) = HCF(5685,4968) .

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

Step 1: Since 90841 > 3, we apply the division lemma to 90841 and 3, to get

90841 = 3 x 30280 + 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 90841 is 1

Notice that 1 = HCF(3,1) = HCF(90841,3) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4968, 5685, 90841 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 4968, 5685, 90841?

Answer: HCF of 4968, 5685, 90841 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4968, 5685, 90841 using Euclid's Algorithm?

Answer: For arbitrary numbers 4968, 5685, 90841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.