Highest Common Factor of 4416, 5092, 74263 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 4416, 5092, 74263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4416, 5092, 74263 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 4416, 5092, 74263 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 4416, 5092, 74263 is 1.

HCF(4416, 5092, 74263) = 1

HCF of 4416, 5092, 74263 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 4416, 5092, 74263 is 1.

Highest Common Factor of 4416,5092,74263 using Euclid's algorithm

Highest Common Factor of 4416,5092,74263 is 1

Step 1: Since 5092 > 4416, we apply the division lemma to 5092 and 4416, to get

5092 = 4416 x 1 + 676

Step 2: Since the reminder 4416 ≠ 0, we apply division lemma to 676 and 4416, to get

4416 = 676 x 6 + 360

Step 3: We consider the new divisor 676 and the new remainder 360, and apply the division lemma to get

676 = 360 x 1 + 316

We consider the new divisor 360 and the new remainder 316,and apply the division lemma to get

360 = 316 x 1 + 44

We consider the new divisor 316 and the new remainder 44,and apply the division lemma to get

316 = 44 x 7 + 8

We consider the new divisor 44 and the new remainder 8,and apply the division lemma to get

44 = 8 x 5 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4416 and 5092 is 4

Notice that 4 = HCF(8,4) = HCF(44,8) = HCF(316,44) = HCF(360,316) = HCF(676,360) = HCF(4416,676) = HCF(5092,4416) .

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

Step 1: Since 74263 > 4, we apply the division lemma to 74263 and 4, to get

74263 = 4 x 18565 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: 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 4 and 74263 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(74263,4) .

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Frequently Asked Questions on HCF of 4416, 5092, 74263 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 4416, 5092, 74263?

Answer: HCF of 4416, 5092, 74263 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4416, 5092, 74263 using Euclid's Algorithm?

Answer: For arbitrary numbers 4416, 5092, 74263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.