Highest Common Factor of 787, 594, 714, 644 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 787, 594, 714, 644 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 787, 594, 714, 644 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 787, 594, 714, 644 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 787, 594, 714, 644 is 1.

HCF(787, 594, 714, 644) = 1

HCF of 787, 594, 714, 644 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 787, 594, 714, 644 is 1.

Highest Common Factor of 787,594,714,644 using Euclid's algorithm

Highest Common Factor of 787,594,714,644 is 1

Step 1: Since 787 > 594, we apply the division lemma to 787 and 594, to get

787 = 594 x 1 + 193

Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 193 and 594, to get

594 = 193 x 3 + 15

Step 3: We consider the new divisor 193 and the new remainder 15, and apply the division lemma to get

193 = 15 x 12 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 787 and 594 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(193,15) = HCF(594,193) = HCF(787,594) .

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

Step 1: Since 714 > 1, we apply the division lemma to 714 and 1, to get

714 = 1 x 714 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 714 is 1

Notice that 1 = HCF(714,1) .

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

Step 1: Since 644 > 1, we apply the division lemma to 644 and 1, to get

644 = 1 x 644 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 644 is 1

Notice that 1 = HCF(644,1) .

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Frequently Asked Questions on HCF of 787, 594, 714, 644 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 787, 594, 714, 644?

Answer: HCF of 787, 594, 714, 644 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 787, 594, 714, 644 using Euclid's Algorithm?

Answer: For arbitrary numbers 787, 594, 714, 644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.