Highest Common Factor of 944, 9635, 1388 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 944, 9635, 1388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 944, 9635, 1388 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 944, 9635, 1388 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 944, 9635, 1388 is 1.

HCF(944, 9635, 1388) = 1

HCF of 944, 9635, 1388 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 944, 9635, 1388 is 1.

Highest Common Factor of 944,9635,1388 using Euclid's algorithm

Highest Common Factor of 944,9635,1388 is 1

Step 1: Since 9635 > 944, we apply the division lemma to 9635 and 944, to get

9635 = 944 x 10 + 195

Step 2: Since the reminder 944 ≠ 0, we apply division lemma to 195 and 944, to get

944 = 195 x 4 + 164

Step 3: We consider the new divisor 195 and the new remainder 164, and apply the division lemma to get

195 = 164 x 1 + 31

We consider the new divisor 164 and the new remainder 31,and apply the division lemma to get

164 = 31 x 5 + 9

We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get

31 = 9 x 3 + 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 944 and 9635 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(164,31) = HCF(195,164) = HCF(944,195) = HCF(9635,944) .

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

Step 1: Since 1388 > 1, we apply the division lemma to 1388 and 1, to get

1388 = 1 x 1388 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1388 is 1

Notice that 1 = HCF(1388,1) .

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Frequently Asked Questions on HCF of 944, 9635, 1388 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 944, 9635, 1388?

Answer: HCF of 944, 9635, 1388 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 944, 9635, 1388 using Euclid's Algorithm?

Answer: For arbitrary numbers 944, 9635, 1388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.