Highest Common Factor of 964, 614, 993 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 964, 614, 993 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 964, 614, 993 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 964, 614, 993 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 964, 614, 993 is 1.

HCF(964, 614, 993) = 1

HCF of 964, 614, 993 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 964, 614, 993 is 1.

Highest Common Factor of 964,614,993 using Euclid's algorithm

Highest Common Factor of 964,614,993 is 1

Step 1: Since 964 > 614, we apply the division lemma to 964 and 614, to get

964 = 614 x 1 + 350

Step 2: Since the reminder 614 ≠ 0, we apply division lemma to 350 and 614, to get

614 = 350 x 1 + 264

Step 3: We consider the new divisor 350 and the new remainder 264, and apply the division lemma to get

350 = 264 x 1 + 86

We consider the new divisor 264 and the new remainder 86,and apply the division lemma to get

264 = 86 x 3 + 6

We consider the new divisor 86 and the new remainder 6,and apply the division lemma to get

86 = 6 x 14 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 964 and 614 is 2

Notice that 2 = HCF(6,2) = HCF(86,6) = HCF(264,86) = HCF(350,264) = HCF(614,350) = HCF(964,614) .

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

Step 1: Since 993 > 2, we apply the division lemma to 993 and 2, to get

993 = 2 x 496 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 993 is 1

Notice that 1 = HCF(2,1) = HCF(993,2) .

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Frequently Asked Questions on HCF of 964, 614, 993 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 964, 614, 993?

Answer: HCF of 964, 614, 993 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 964, 614, 993 using Euclid's Algorithm?

Answer: For arbitrary numbers 964, 614, 993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.