Highest Common Factor of 686, 393, 944, 96 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 686, 393, 944, 96 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 686, 393, 944, 96 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 686, 393, 944, 96 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 686, 393, 944, 96 is 1.

HCF(686, 393, 944, 96) = 1

HCF of 686, 393, 944, 96 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 686, 393, 944, 96 is 1.

Highest Common Factor of 686,393,944,96 using Euclid's algorithm

Highest Common Factor of 686,393,944,96 is 1

Step 1: Since 686 > 393, we apply the division lemma to 686 and 393, to get

686 = 393 x 1 + 293

Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 293 and 393, to get

393 = 293 x 1 + 100

Step 3: We consider the new divisor 293 and the new remainder 100, and apply the division lemma to get

293 = 100 x 2 + 93

We consider the new divisor 100 and the new remainder 93,and apply the division lemma to get

100 = 93 x 1 + 7

We consider the new divisor 93 and the new remainder 7,and apply the division lemma to get

93 = 7 x 13 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 686 and 393 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(93,7) = HCF(100,93) = HCF(293,100) = HCF(393,293) = HCF(686,393) .

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

Step 1: Since 944 > 1, we apply the division lemma to 944 and 1, to get

944 = 1 x 944 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 944 is 1

Notice that 1 = HCF(944,1) .

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

Step 1: Since 96 > 1, we apply the division lemma to 96 and 1, to get

96 = 1 x 96 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96 is 1

Notice that 1 = HCF(96,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 686, 393, 944, 96 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 686, 393, 944, 96?

Answer: HCF of 686, 393, 944, 96 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 686, 393, 944, 96 using Euclid's Algorithm?

Answer: For arbitrary numbers 686, 393, 944, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.