Highest Common Factor of 938, 685, 868 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 938, 685, 868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 938, 685, 868 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 938, 685, 868 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 938, 685, 868 is 1.

HCF(938, 685, 868) = 1

HCF of 938, 685, 868 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 938, 685, 868 is 1.

Highest Common Factor of 938,685,868 using Euclid's algorithm

Highest Common Factor of 938,685,868 is 1

Step 1: Since 938 > 685, we apply the division lemma to 938 and 685, to get

938 = 685 x 1 + 253

Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 253 and 685, to get

685 = 253 x 2 + 179

Step 3: We consider the new divisor 253 and the new remainder 179, and apply the division lemma to get

253 = 179 x 1 + 74

We consider the new divisor 179 and the new remainder 74,and apply the division lemma to get

179 = 74 x 2 + 31

We consider the new divisor 74 and the new remainder 31,and apply the division lemma to get

74 = 31 x 2 + 12

We consider the new divisor 31 and the new remainder 12,and apply the division lemma to get

31 = 12 x 2 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 938 and 685 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(31,12) = HCF(74,31) = HCF(179,74) = HCF(253,179) = HCF(685,253) = HCF(938,685) .

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

Step 1: Since 868 > 1, we apply the division lemma to 868 and 1, to get

868 = 1 x 868 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 868 is 1

Notice that 1 = HCF(868,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 938, 685, 868 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 938, 685, 868?

Answer: HCF of 938, 685, 868 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 938, 685, 868 using Euclid's Algorithm?

Answer: For arbitrary numbers 938, 685, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.