Highest Common Factor of 604, 951, 465, 64 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 604, 951, 465, 64 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 604, 951, 465, 64 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 604, 951, 465, 64 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 604, 951, 465, 64 is 1.

HCF(604, 951, 465, 64) = 1

HCF of 604, 951, 465, 64 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 604, 951, 465, 64 is 1.

Highest Common Factor of 604,951,465,64 using Euclid's algorithm

Highest Common Factor of 604,951,465,64 is 1

Step 1: Since 951 > 604, we apply the division lemma to 951 and 604, to get

951 = 604 x 1 + 347

Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 347 and 604, to get

604 = 347 x 1 + 257

Step 3: We consider the new divisor 347 and the new remainder 257, and apply the division lemma to get

347 = 257 x 1 + 90

We consider the new divisor 257 and the new remainder 90,and apply the division lemma to get

257 = 90 x 2 + 77

We consider the new divisor 90 and the new remainder 77,and apply the division lemma to get

90 = 77 x 1 + 13

We consider the new divisor 77 and the new remainder 13,and apply the division lemma to get

77 = 13 x 5 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 604 and 951 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(77,13) = HCF(90,77) = HCF(257,90) = HCF(347,257) = HCF(604,347) = HCF(951,604) .

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

Step 1: Since 465 > 1, we apply the division lemma to 465 and 1, to get

465 = 1 x 465 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 465 is 1

Notice that 1 = HCF(465,1) .

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

Step 1: Since 64 > 1, we apply the division lemma to 64 and 1, to get

64 = 1 x 64 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64 is 1

Notice that 1 = HCF(64,1) .

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Frequently Asked Questions on HCF of 604, 951, 465, 64 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 604, 951, 465, 64?

Answer: HCF of 604, 951, 465, 64 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 604, 951, 465, 64 using Euclid's Algorithm?

Answer: For arbitrary numbers 604, 951, 465, 64 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.