Highest Common Factor of 764, 470, 781 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 764, 470, 781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 764, 470, 781 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 764, 470, 781 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 764, 470, 781 is 1.

HCF(764, 470, 781) = 1

HCF of 764, 470, 781 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 764, 470, 781 is 1.

Highest Common Factor of 764,470,781 using Euclid's algorithm

Highest Common Factor of 764,470,781 is 1

Step 1: Since 764 > 470, we apply the division lemma to 764 and 470, to get

764 = 470 x 1 + 294

Step 2: Since the reminder 470 ≠ 0, we apply division lemma to 294 and 470, to get

470 = 294 x 1 + 176

Step 3: We consider the new divisor 294 and the new remainder 176, and apply the division lemma to get

294 = 176 x 1 + 118

We consider the new divisor 176 and the new remainder 118,and apply the division lemma to get

176 = 118 x 1 + 58

We consider the new divisor 118 and the new remainder 58,and apply the division lemma to get

118 = 58 x 2 + 2

We consider the new divisor 58 and the new remainder 2,and apply the division lemma to get

58 = 2 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 764 and 470 is 2

Notice that 2 = HCF(58,2) = HCF(118,58) = HCF(176,118) = HCF(294,176) = HCF(470,294) = HCF(764,470) .

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

Step 1: Since 781 > 2, we apply the division lemma to 781 and 2, to get

781 = 2 x 390 + 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 781 is 1

Notice that 1 = HCF(2,1) = HCF(781,2) .

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Frequently Asked Questions on HCF of 764, 470, 781 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 764, 470, 781?

Answer: HCF of 764, 470, 781 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 764, 470, 781 using Euclid's Algorithm?

Answer: For arbitrary numbers 764, 470, 781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.