Highest Common Factor of 376, 707, 588 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 376, 707, 588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 376, 707, 588 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 376, 707, 588 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 376, 707, 588 is 1.

HCF(376, 707, 588) = 1

HCF of 376, 707, 588 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 376, 707, 588 is 1.

Highest Common Factor of 376,707,588 using Euclid's algorithm

Highest Common Factor of 376,707,588 is 1

Step 1: Since 707 > 376, we apply the division lemma to 707 and 376, to get

707 = 376 x 1 + 331

Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 331 and 376, to get

376 = 331 x 1 + 45

Step 3: We consider the new divisor 331 and the new remainder 45, and apply the division lemma to get

331 = 45 x 7 + 16

We consider the new divisor 45 and the new remainder 16,and apply the division lemma to get

45 = 16 x 2 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 376 and 707 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(45,16) = HCF(331,45) = HCF(376,331) = HCF(707,376) .

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

Step 1: Since 588 > 1, we apply the division lemma to 588 and 1, to get

588 = 1 x 588 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 588 is 1

Notice that 1 = HCF(588,1) .

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Frequently Asked Questions on HCF of 376, 707, 588 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 376, 707, 588?

Answer: HCF of 376, 707, 588 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 376, 707, 588 using Euclid's Algorithm?

Answer: For arbitrary numbers 376, 707, 588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.