Highest Common Factor of 5264, 2770, 64409 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 5264, 2770, 64409 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5264, 2770, 64409 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 5264, 2770, 64409 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 5264, 2770, 64409 is 1.

HCF(5264, 2770, 64409) = 1

HCF of 5264, 2770, 64409 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 5264, 2770, 64409 is 1.

Highest Common Factor of 5264,2770,64409 using Euclid's algorithm

Highest Common Factor of 5264,2770,64409 is 1

Step 1: Since 5264 > 2770, we apply the division lemma to 5264 and 2770, to get

5264 = 2770 x 1 + 2494

Step 2: Since the reminder 2770 ≠ 0, we apply division lemma to 2494 and 2770, to get

2770 = 2494 x 1 + 276

Step 3: We consider the new divisor 2494 and the new remainder 276, and apply the division lemma to get

2494 = 276 x 9 + 10

We consider the new divisor 276 and the new remainder 10,and apply the division lemma to get

276 = 10 x 27 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 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 5264 and 2770 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(276,10) = HCF(2494,276) = HCF(2770,2494) = HCF(5264,2770) .

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

Step 1: Since 64409 > 2, we apply the division lemma to 64409 and 2, to get

64409 = 2 x 32204 + 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 64409 is 1

Notice that 1 = HCF(2,1) = HCF(64409,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5264, 2770, 64409 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 5264, 2770, 64409?

Answer: HCF of 5264, 2770, 64409 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5264, 2770, 64409 using Euclid's Algorithm?

Answer: For arbitrary numbers 5264, 2770, 64409 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.