Highest Common Factor of 5641, 4329, 95388 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 5641, 4329, 95388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5641, 4329, 95388 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 5641, 4329, 95388 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 5641, 4329, 95388 is 1.

HCF(5641, 4329, 95388) = 1

HCF of 5641, 4329, 95388 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 5641, 4329, 95388 is 1.

Highest Common Factor of 5641,4329,95388 using Euclid's algorithm

Highest Common Factor of 5641,4329,95388 is 1

Step 1: Since 5641 > 4329, we apply the division lemma to 5641 and 4329, to get

5641 = 4329 x 1 + 1312

Step 2: Since the reminder 4329 ≠ 0, we apply division lemma to 1312 and 4329, to get

4329 = 1312 x 3 + 393

Step 3: We consider the new divisor 1312 and the new remainder 393, and apply the division lemma to get

1312 = 393 x 3 + 133

We consider the new divisor 393 and the new remainder 133,and apply the division lemma to get

393 = 133 x 2 + 127

We consider the new divisor 133 and the new remainder 127,and apply the division lemma to get

133 = 127 x 1 + 6

We consider the new divisor 127 and the new remainder 6,and apply the division lemma to get

127 = 6 x 21 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5641 and 4329 is 1

Notice that 1 = HCF(6,1) = HCF(127,6) = HCF(133,127) = HCF(393,133) = HCF(1312,393) = HCF(4329,1312) = HCF(5641,4329) .

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

Step 1: Since 95388 > 1, we apply the division lemma to 95388 and 1, to get

95388 = 1 x 95388 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95388 is 1

Notice that 1 = HCF(95388,1) .

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Frequently Asked Questions on HCF of 5641, 4329, 95388 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 5641, 4329, 95388?

Answer: HCF of 5641, 4329, 95388 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5641, 4329, 95388 using Euclid's Algorithm?

Answer: For arbitrary numbers 5641, 4329, 95388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.