Highest Common Factor of 2264, 4043, 70972 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 2264, 4043, 70972 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2264, 4043, 70972 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 2264, 4043, 70972 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 2264, 4043, 70972 is 1.

HCF(2264, 4043, 70972) = 1

HCF of 2264, 4043, 70972 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 2264, 4043, 70972 is 1.

Highest Common Factor of 2264,4043,70972 using Euclid's algorithm

Highest Common Factor of 2264,4043,70972 is 1

Step 1: Since 4043 > 2264, we apply the division lemma to 4043 and 2264, to get

4043 = 2264 x 1 + 1779

Step 2: Since the reminder 2264 ≠ 0, we apply division lemma to 1779 and 2264, to get

2264 = 1779 x 1 + 485

Step 3: We consider the new divisor 1779 and the new remainder 485, and apply the division lemma to get

1779 = 485 x 3 + 324

We consider the new divisor 485 and the new remainder 324,and apply the division lemma to get

485 = 324 x 1 + 161

We consider the new divisor 324 and the new remainder 161,and apply the division lemma to get

324 = 161 x 2 + 2

We consider the new divisor 161 and the new remainder 2,and apply the division lemma to get

161 = 2 x 80 + 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 2264 and 4043 is 1

Notice that 1 = HCF(2,1) = HCF(161,2) = HCF(324,161) = HCF(485,324) = HCF(1779,485) = HCF(2264,1779) = HCF(4043,2264) .

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

Step 1: Since 70972 > 1, we apply the division lemma to 70972 and 1, to get

70972 = 1 x 70972 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70972 is 1

Notice that 1 = HCF(70972,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2264, 4043, 70972 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 2264, 4043, 70972?

Answer: HCF of 2264, 4043, 70972 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2264, 4043, 70972 using Euclid's Algorithm?

Answer: For arbitrary numbers 2264, 4043, 70972 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.