Highest Common Factor of 954, 598, 575 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 954, 598, 575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 954, 598, 575 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 954, 598, 575 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 954, 598, 575 is 1.

HCF(954, 598, 575) = 1

HCF of 954, 598, 575 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 954, 598, 575 is 1.

Highest Common Factor of 954,598,575 using Euclid's algorithm

Highest Common Factor of 954,598,575 is 1

Step 1: Since 954 > 598, we apply the division lemma to 954 and 598, to get

954 = 598 x 1 + 356

Step 2: Since the reminder 598 ≠ 0, we apply division lemma to 356 and 598, to get

598 = 356 x 1 + 242

Step 3: We consider the new divisor 356 and the new remainder 242, and apply the division lemma to get

356 = 242 x 1 + 114

We consider the new divisor 242 and the new remainder 114,and apply the division lemma to get

242 = 114 x 2 + 14

We consider the new divisor 114 and the new remainder 14,and apply the division lemma to get

114 = 14 x 8 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 954 and 598 is 2

Notice that 2 = HCF(14,2) = HCF(114,14) = HCF(242,114) = HCF(356,242) = HCF(598,356) = HCF(954,598) .

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

Step 1: Since 575 > 2, we apply the division lemma to 575 and 2, to get

575 = 2 x 287 + 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 575 is 1

Notice that 1 = HCF(2,1) = HCF(575,2) .

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Frequently Asked Questions on HCF of 954, 598, 575 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 954, 598, 575?

Answer: HCF of 954, 598, 575 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 954, 598, 575 using Euclid's Algorithm?

Answer: For arbitrary numbers 954, 598, 575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.