Highest Common Factor of 948, 589, 875 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 948, 589, 875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 948, 589, 875 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 948, 589, 875 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 948, 589, 875 is 1.

HCF(948, 589, 875) = 1

HCF of 948, 589, 875 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 948, 589, 875 is 1.

Highest Common Factor of 948,589,875 using Euclid's algorithm

Highest Common Factor of 948,589,875 is 1

Step 1: Since 948 > 589, we apply the division lemma to 948 and 589, to get

948 = 589 x 1 + 359

Step 2: Since the reminder 589 ≠ 0, we apply division lemma to 359 and 589, to get

589 = 359 x 1 + 230

Step 3: We consider the new divisor 359 and the new remainder 230, and apply the division lemma to get

359 = 230 x 1 + 129

We consider the new divisor 230 and the new remainder 129,and apply the division lemma to get

230 = 129 x 1 + 101

We consider the new divisor 129 and the new remainder 101,and apply the division lemma to get

129 = 101 x 1 + 28

We consider the new divisor 101 and the new remainder 28,and apply the division lemma to get

101 = 28 x 3 + 17

We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get

28 = 17 x 1 + 11

We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get

17 = 11 x 1 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 948 and 589 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(101,28) = HCF(129,101) = HCF(230,129) = HCF(359,230) = HCF(589,359) = HCF(948,589) .

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

Step 1: Since 875 > 1, we apply the division lemma to 875 and 1, to get

875 = 1 x 875 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 875 is 1

Notice that 1 = HCF(875,1) .

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Frequently Asked Questions on HCF of 948, 589, 875 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 948, 589, 875?

Answer: HCF of 948, 589, 875 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 948, 589, 875 using Euclid's Algorithm?

Answer: For arbitrary numbers 948, 589, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.