Highest Common Factor of 601, 914, 291, 712 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 601, 914, 291, 712 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 601, 914, 291, 712 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 601, 914, 291, 712 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 601, 914, 291, 712 is 1.

HCF(601, 914, 291, 712) = 1

HCF of 601, 914, 291, 712 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 601, 914, 291, 712 is 1.

Highest Common Factor of 601,914,291,712 using Euclid's algorithm

Highest Common Factor of 601,914,291,712 is 1

Step 1: Since 914 > 601, we apply the division lemma to 914 and 601, to get

914 = 601 x 1 + 313

Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 313 and 601, to get

601 = 313 x 1 + 288

Step 3: We consider the new divisor 313 and the new remainder 288, and apply the division lemma to get

313 = 288 x 1 + 25

We consider the new divisor 288 and the new remainder 25,and apply the division lemma to get

288 = 25 x 11 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 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 601 and 914 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(288,25) = HCF(313,288) = HCF(601,313) = HCF(914,601) .

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

Step 1: Since 291 > 1, we apply the division lemma to 291 and 1, to get

291 = 1 x 291 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 291 is 1

Notice that 1 = HCF(291,1) .

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

Step 1: Since 712 > 1, we apply the division lemma to 712 and 1, to get

712 = 1 x 712 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 712 is 1

Notice that 1 = HCF(712,1) .

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Frequently Asked Questions on HCF of 601, 914, 291, 712 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 601, 914, 291, 712?

Answer: HCF of 601, 914, 291, 712 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 601, 914, 291, 712 using Euclid's Algorithm?

Answer: For arbitrary numbers 601, 914, 291, 712 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.