Highest Common Factor of 505, 767, 353, 57 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 505, 767, 353, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 505, 767, 353, 57 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 505, 767, 353, 57 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 505, 767, 353, 57 is 1.

HCF(505, 767, 353, 57) = 1

HCF of 505, 767, 353, 57 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 505, 767, 353, 57 is 1.

Highest Common Factor of 505,767,353,57 using Euclid's algorithm

Highest Common Factor of 505,767,353,57 is 1

Step 1: Since 767 > 505, we apply the division lemma to 767 and 505, to get

767 = 505 x 1 + 262

Step 2: Since the reminder 505 ≠ 0, we apply division lemma to 262 and 505, to get

505 = 262 x 1 + 243

Step 3: We consider the new divisor 262 and the new remainder 243, and apply the division lemma to get

262 = 243 x 1 + 19

We consider the new divisor 243 and the new remainder 19,and apply the division lemma to get

243 = 19 x 12 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 505 and 767 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(243,19) = HCF(262,243) = HCF(505,262) = HCF(767,505) .

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

Step 1: Since 353 > 1, we apply the division lemma to 353 and 1, to get

353 = 1 x 353 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 353 is 1

Notice that 1 = HCF(353,1) .

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

Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get

57 = 1 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1

Notice that 1 = HCF(57,1) .

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Frequently Asked Questions on HCF of 505, 767, 353, 57 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 505, 767, 353, 57?

Answer: HCF of 505, 767, 353, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 505, 767, 353, 57 using Euclid's Algorithm?

Answer: For arbitrary numbers 505, 767, 353, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.