Highest Common Factor of 175, 460, 791 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 175, 460, 791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 175, 460, 791 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 175, 460, 791 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 175, 460, 791 is 1.

HCF(175, 460, 791) = 1

HCF of 175, 460, 791 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 175, 460, 791 is 1.

Highest Common Factor of 175,460,791 using Euclid's algorithm

Highest Common Factor of 175,460,791 is 1

Step 1: Since 460 > 175, we apply the division lemma to 460 and 175, to get

460 = 175 x 2 + 110

Step 2: Since the reminder 175 ≠ 0, we apply division lemma to 110 and 175, to get

175 = 110 x 1 + 65

Step 3: We consider the new divisor 110 and the new remainder 65, and apply the division lemma to get

110 = 65 x 1 + 45

We consider the new divisor 65 and the new remainder 45,and apply the division lemma to get

65 = 45 x 1 + 20

We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get

45 = 20 x 2 + 5

We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get

20 = 5 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 175 and 460 is 5

Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(65,45) = HCF(110,65) = HCF(175,110) = HCF(460,175) .

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

Step 1: Since 791 > 5, we apply the division lemma to 791 and 5, to get

791 = 5 x 158 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, 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 5 and 791 is 1

Notice that 1 = HCF(5,1) = HCF(791,5) .

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Frequently Asked Questions on HCF of 175, 460, 791 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 175, 460, 791?

Answer: HCF of 175, 460, 791 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 175, 460, 791 using Euclid's Algorithm?

Answer: For arbitrary numbers 175, 460, 791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.