Highest Common Factor of 417, 755, 835, 416 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 417, 755, 835, 416 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 417, 755, 835, 416 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 417, 755, 835, 416 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 417, 755, 835, 416 is 1.

HCF(417, 755, 835, 416) = 1

HCF of 417, 755, 835, 416 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 417, 755, 835, 416 is 1.

Highest Common Factor of 417,755,835,416 using Euclid's algorithm

Highest Common Factor of 417,755,835,416 is 1

Step 1: Since 755 > 417, we apply the division lemma to 755 and 417, to get

755 = 417 x 1 + 338

Step 2: Since the reminder 417 ≠ 0, we apply division lemma to 338 and 417, to get

417 = 338 x 1 + 79

Step 3: We consider the new divisor 338 and the new remainder 79, and apply the division lemma to get

338 = 79 x 4 + 22

We consider the new divisor 79 and the new remainder 22,and apply the division lemma to get

79 = 22 x 3 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 417 and 755 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(79,22) = HCF(338,79) = HCF(417,338) = HCF(755,417) .

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

Step 1: Since 835 > 1, we apply the division lemma to 835 and 1, to get

835 = 1 x 835 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 835 is 1

Notice that 1 = HCF(835,1) .

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

Step 1: Since 416 > 1, we apply the division lemma to 416 and 1, to get

416 = 1 x 416 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 416 is 1

Notice that 1 = HCF(416,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 417, 755, 835, 416 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 417, 755, 835, 416?

Answer: HCF of 417, 755, 835, 416 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 417, 755, 835, 416 using Euclid's Algorithm?

Answer: For arbitrary numbers 417, 755, 835, 416 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.