Highest Common Factor of 542, 8858, 7853 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 542, 8858, 7853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 542, 8858, 7853 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 542, 8858, 7853 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 542, 8858, 7853 is 1.

HCF(542, 8858, 7853) = 1

HCF of 542, 8858, 7853 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 542, 8858, 7853 is 1.

Highest Common Factor of 542,8858,7853 using Euclid's algorithm

Highest Common Factor of 542,8858,7853 is 1

Step 1: Since 8858 > 542, we apply the division lemma to 8858 and 542, to get

8858 = 542 x 16 + 186

Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 186 and 542, to get

542 = 186 x 2 + 170

Step 3: We consider the new divisor 186 and the new remainder 170, and apply the division lemma to get

186 = 170 x 1 + 16

We consider the new divisor 170 and the new remainder 16,and apply the division lemma to get

170 = 16 x 10 + 10

We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get

16 = 10 x 1 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 542 and 8858 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(170,16) = HCF(186,170) = HCF(542,186) = HCF(8858,542) .

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

Step 1: Since 7853 > 2, we apply the division lemma to 7853 and 2, to get

7853 = 2 x 3926 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 7853 is 1

Notice that 1 = HCF(2,1) = HCF(7853,2) .

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Frequently Asked Questions on HCF of 542, 8858, 7853 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 542, 8858, 7853?

Answer: HCF of 542, 8858, 7853 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 542, 8858, 7853 using Euclid's Algorithm?

Answer: For arbitrary numbers 542, 8858, 7853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.