Highest Common Factor of 598, 947, 766 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 598, 947, 766 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 598, 947, 766 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 598, 947, 766 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 598, 947, 766 is 1.

HCF(598, 947, 766) = 1

HCF of 598, 947, 766 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 598, 947, 766 is 1.

Highest Common Factor of 598,947,766 using Euclid's algorithm

Highest Common Factor of 598,947,766 is 1

Step 1: Since 947 > 598, we apply the division lemma to 947 and 598, to get

947 = 598 x 1 + 349

Step 2: Since the reminder 598 ≠ 0, we apply division lemma to 349 and 598, to get

598 = 349 x 1 + 249

Step 3: We consider the new divisor 349 and the new remainder 249, and apply the division lemma to get

349 = 249 x 1 + 100

We consider the new divisor 249 and the new remainder 100,and apply the division lemma to get

249 = 100 x 2 + 49

We consider the new divisor 100 and the new remainder 49,and apply the division lemma to get

100 = 49 x 2 + 2

We consider the new divisor 49 and the new remainder 2,and apply the division lemma to get

49 = 2 x 24 + 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 598 and 947 is 1

Notice that 1 = HCF(2,1) = HCF(49,2) = HCF(100,49) = HCF(249,100) = HCF(349,249) = HCF(598,349) = HCF(947,598) .

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

Step 1: Since 766 > 1, we apply the division lemma to 766 and 1, to get

766 = 1 x 766 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 766 is 1

Notice that 1 = HCF(766,1) .

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Frequently Asked Questions on HCF of 598, 947, 766 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 598, 947, 766?

Answer: HCF of 598, 947, 766 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 598, 947, 766 using Euclid's Algorithm?

Answer: For arbitrary numbers 598, 947, 766 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.