Highest Common Factor of 5375, 7904, 31645 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 5375, 7904, 31645 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5375, 7904, 31645 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 5375, 7904, 31645 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 5375, 7904, 31645 is 1.

HCF(5375, 7904, 31645) = 1

HCF of 5375, 7904, 31645 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 5375, 7904, 31645 is 1.

Highest Common Factor of 5375,7904,31645 using Euclid's algorithm

Highest Common Factor of 5375,7904,31645 is 1

Step 1: Since 7904 > 5375, we apply the division lemma to 7904 and 5375, to get

7904 = 5375 x 1 + 2529

Step 2: Since the reminder 5375 ≠ 0, we apply division lemma to 2529 and 5375, to get

5375 = 2529 x 2 + 317

Step 3: We consider the new divisor 2529 and the new remainder 317, and apply the division lemma to get

2529 = 317 x 7 + 310

We consider the new divisor 317 and the new remainder 310,and apply the division lemma to get

317 = 310 x 1 + 7

We consider the new divisor 310 and the new remainder 7,and apply the division lemma to get

310 = 7 x 44 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5375 and 7904 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(310,7) = HCF(317,310) = HCF(2529,317) = HCF(5375,2529) = HCF(7904,5375) .

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

Step 1: Since 31645 > 1, we apply the division lemma to 31645 and 1, to get

31645 = 1 x 31645 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31645 is 1

Notice that 1 = HCF(31645,1) .

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Frequently Asked Questions on HCF of 5375, 7904, 31645 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 5375, 7904, 31645?

Answer: HCF of 5375, 7904, 31645 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5375, 7904, 31645 using Euclid's Algorithm?

Answer: For arbitrary numbers 5375, 7904, 31645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.