Highest Common Factor of 4714, 2564, 89727 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 4714, 2564, 89727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4714, 2564, 89727 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 4714, 2564, 89727 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 4714, 2564, 89727 is 1.

HCF(4714, 2564, 89727) = 1

HCF of 4714, 2564, 89727 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 4714, 2564, 89727 is 1.

Highest Common Factor of 4714,2564,89727 using Euclid's algorithm

Highest Common Factor of 4714,2564,89727 is 1

Step 1: Since 4714 > 2564, we apply the division lemma to 4714 and 2564, to get

4714 = 2564 x 1 + 2150

Step 2: Since the reminder 2564 ≠ 0, we apply division lemma to 2150 and 2564, to get

2564 = 2150 x 1 + 414

Step 3: We consider the new divisor 2150 and the new remainder 414, and apply the division lemma to get

2150 = 414 x 5 + 80

We consider the new divisor 414 and the new remainder 80,and apply the division lemma to get

414 = 80 x 5 + 14

We consider the new divisor 80 and the new remainder 14,and apply the division lemma to get

80 = 14 x 5 + 10

We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get

14 = 10 x 1 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4714 and 2564 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(80,14) = HCF(414,80) = HCF(2150,414) = HCF(2564,2150) = HCF(4714,2564) .

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

Step 1: Since 89727 > 2, we apply the division lemma to 89727 and 2, to get

89727 = 2 x 44863 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 89727 is 1

Notice that 1 = HCF(2,1) = HCF(89727,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4714, 2564, 89727 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 4714, 2564, 89727?

Answer: HCF of 4714, 2564, 89727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4714, 2564, 89727 using Euclid's Algorithm?

Answer: For arbitrary numbers 4714, 2564, 89727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.