Highest Common Factor of 948, 601 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, 601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 948, 601 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, 601 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, 601 is 1.

HCF(948, 601) = 1

HCF of 948, 601 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, 601 is 1.

Highest Common Factor of 948,601 using Euclid's algorithm

Highest Common Factor of 948,601 is 1

Step 1: Since 948 > 601, we apply the division lemma to 948 and 601, to get

948 = 601 x 1 + 347

Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 347 and 601, to get

601 = 347 x 1 + 254

Step 3: We consider the new divisor 347 and the new remainder 254, and apply the division lemma to get

347 = 254 x 1 + 93

We consider the new divisor 254 and the new remainder 93,and apply the division lemma to get

254 = 93 x 2 + 68

We consider the new divisor 93 and the new remainder 68,and apply the division lemma to get

93 = 68 x 1 + 25

We consider the new divisor 68 and the new remainder 25,and apply the division lemma to get

68 = 25 x 2 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 948 and 601 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(68,25) = HCF(93,68) = HCF(254,93) = HCF(347,254) = HCF(601,347) = HCF(948,601) .

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Frequently Asked Questions on HCF of 948, 601 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, 601?

Answer: HCF of 948, 601 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 948, 601 using Euclid's Algorithm?

Answer: For arbitrary numbers 948, 601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.