Highest Common Factor of 5041, 3818, 90156 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 5041, 3818, 90156 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5041, 3818, 90156 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 5041, 3818, 90156 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 5041, 3818, 90156 is 1.

HCF(5041, 3818, 90156) = 1

HCF of 5041, 3818, 90156 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 5041, 3818, 90156 is 1.

Highest Common Factor of 5041,3818,90156 using Euclid's algorithm

Highest Common Factor of 5041,3818,90156 is 1

Step 1: Since 5041 > 3818, we apply the division lemma to 5041 and 3818, to get

5041 = 3818 x 1 + 1223

Step 2: Since the reminder 3818 ≠ 0, we apply division lemma to 1223 and 3818, to get

3818 = 1223 x 3 + 149

Step 3: We consider the new divisor 1223 and the new remainder 149, and apply the division lemma to get

1223 = 149 x 8 + 31

We consider the new divisor 149 and the new remainder 31,and apply the division lemma to get

149 = 31 x 4 + 25

We consider the new divisor 31 and the new remainder 25,and apply the division lemma to get

31 = 25 x 1 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 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 5041 and 3818 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(31,25) = HCF(149,31) = HCF(1223,149) = HCF(3818,1223) = HCF(5041,3818) .

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

Step 1: Since 90156 > 1, we apply the division lemma to 90156 and 1, to get

90156 = 1 x 90156 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90156 is 1

Notice that 1 = HCF(90156,1) .

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Frequently Asked Questions on HCF of 5041, 3818, 90156 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 5041, 3818, 90156?

Answer: HCF of 5041, 3818, 90156 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5041, 3818, 90156 using Euclid's Algorithm?

Answer: For arbitrary numbers 5041, 3818, 90156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.