Highest Common Factor of 670, 9056, 9455 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 670, 9056, 9455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 670, 9056, 9455 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 670, 9056, 9455 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 670, 9056, 9455 is 1.

HCF(670, 9056, 9455) = 1

HCF of 670, 9056, 9455 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 670, 9056, 9455 is 1.

Highest Common Factor of 670,9056,9455 using Euclid's algorithm

Highest Common Factor of 670,9056,9455 is 1

Step 1: Since 9056 > 670, we apply the division lemma to 9056 and 670, to get

9056 = 670 x 13 + 346

Step 2: Since the reminder 670 ≠ 0, we apply division lemma to 346 and 670, to get

670 = 346 x 1 + 324

Step 3: We consider the new divisor 346 and the new remainder 324, and apply the division lemma to get

346 = 324 x 1 + 22

We consider the new divisor 324 and the new remainder 22,and apply the division lemma to get

324 = 22 x 14 + 16

We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get

22 = 16 x 1 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 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 670 and 9056 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(324,22) = HCF(346,324) = HCF(670,346) = HCF(9056,670) .

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

Step 1: Since 9455 > 2, we apply the division lemma to 9455 and 2, to get

9455 = 2 x 4727 + 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 9455 is 1

Notice that 1 = HCF(2,1) = HCF(9455,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 670, 9056, 9455 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 670, 9056, 9455?

Answer: HCF of 670, 9056, 9455 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 670, 9056, 9455 using Euclid's Algorithm?

Answer: For arbitrary numbers 670, 9056, 9455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.