Highest Common Factor of 441, 635, 965 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 441, 635, 965 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 441, 635, 965 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 441, 635, 965 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 441, 635, 965 is 1.

HCF(441, 635, 965) = 1

HCF of 441, 635, 965 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 441, 635, 965 is 1.

Highest Common Factor of 441,635,965 using Euclid's algorithm

Highest Common Factor of 441,635,965 is 1

Step 1: Since 635 > 441, we apply the division lemma to 635 and 441, to get

635 = 441 x 1 + 194

Step 2: Since the reminder 441 ≠ 0, we apply division lemma to 194 and 441, to get

441 = 194 x 2 + 53

Step 3: We consider the new divisor 194 and the new remainder 53, and apply the division lemma to get

194 = 53 x 3 + 35

We consider the new divisor 53 and the new remainder 35,and apply the division lemma to get

53 = 35 x 1 + 18

We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get

35 = 18 x 1 + 17

We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get

18 = 17 x 1 + 1

We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get

17 = 1 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 441 and 635 is 1

Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(53,35) = HCF(194,53) = HCF(441,194) = HCF(635,441) .

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

Step 1: Since 965 > 1, we apply the division lemma to 965 and 1, to get

965 = 1 x 965 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 965 is 1

Notice that 1 = HCF(965,1) .

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Frequently Asked Questions on HCF of 441, 635, 965 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 441, 635, 965?

Answer: HCF of 441, 635, 965 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 441, 635, 965 using Euclid's Algorithm?

Answer: For arbitrary numbers 441, 635, 965 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.