Highest Common Factor of 947, 578, 762 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 947, 578, 762 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 947, 578, 762 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 947, 578, 762 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 947, 578, 762 is 1.

HCF(947, 578, 762) = 1

HCF of 947, 578, 762 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 947, 578, 762 is 1.

Highest Common Factor of 947,578,762 using Euclid's algorithm

Highest Common Factor of 947,578,762 is 1

Step 1: Since 947 > 578, we apply the division lemma to 947 and 578, to get

947 = 578 x 1 + 369

Step 2: Since the reminder 578 ≠ 0, we apply division lemma to 369 and 578, to get

578 = 369 x 1 + 209

Step 3: We consider the new divisor 369 and the new remainder 209, and apply the division lemma to get

369 = 209 x 1 + 160

We consider the new divisor 209 and the new remainder 160,and apply the division lemma to get

209 = 160 x 1 + 49

We consider the new divisor 160 and the new remainder 49,and apply the division lemma to get

160 = 49 x 3 + 13

We consider the new divisor 49 and the new remainder 13,and apply the division lemma to get

49 = 13 x 3 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 947 and 578 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(49,13) = HCF(160,49) = HCF(209,160) = HCF(369,209) = HCF(578,369) = HCF(947,578) .

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

Step 1: Since 762 > 1, we apply the division lemma to 762 and 1, to get

762 = 1 x 762 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 762 is 1

Notice that 1 = HCF(762,1) .

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Frequently Asked Questions on HCF of 947, 578, 762 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 947, 578, 762?

Answer: HCF of 947, 578, 762 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 947, 578, 762 using Euclid's Algorithm?

Answer: For arbitrary numbers 947, 578, 762 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.