Highest Common Factor of 587, 764, 774 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 587, 764, 774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 587, 764, 774 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 587, 764, 774 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 587, 764, 774 is 1.

HCF(587, 764, 774) = 1

HCF of 587, 764, 774 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 587, 764, 774 is 1.

Highest Common Factor of 587,764,774 using Euclid's algorithm

Highest Common Factor of 587,764,774 is 1

Step 1: Since 764 > 587, we apply the division lemma to 764 and 587, to get

764 = 587 x 1 + 177

Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 177 and 587, to get

587 = 177 x 3 + 56

Step 3: We consider the new divisor 177 and the new remainder 56, and apply the division lemma to get

177 = 56 x 3 + 9

We consider the new divisor 56 and the new remainder 9,and apply the division lemma to get

56 = 9 x 6 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 587 and 764 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(56,9) = HCF(177,56) = HCF(587,177) = HCF(764,587) .

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

Step 1: Since 774 > 1, we apply the division lemma to 774 and 1, to get

774 = 1 x 774 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 774 is 1

Notice that 1 = HCF(774,1) .

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Frequently Asked Questions on HCF of 587, 764, 774 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 587, 764, 774?

Answer: HCF of 587, 764, 774 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 587, 764, 774 using Euclid's Algorithm?

Answer: For arbitrary numbers 587, 764, 774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.