Highest Common Factor of 5111, 9457, 94942 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 5111, 9457, 94942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5111, 9457, 94942 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 5111, 9457, 94942 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 5111, 9457, 94942 is 1.

HCF(5111, 9457, 94942) = 1

HCF of 5111, 9457, 94942 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 5111, 9457, 94942 is 1.

Highest Common Factor of 5111,9457,94942 using Euclid's algorithm

Highest Common Factor of 5111,9457,94942 is 1

Step 1: Since 9457 > 5111, we apply the division lemma to 9457 and 5111, to get

9457 = 5111 x 1 + 4346

Step 2: Since the reminder 5111 ≠ 0, we apply division lemma to 4346 and 5111, to get

5111 = 4346 x 1 + 765

Step 3: We consider the new divisor 4346 and the new remainder 765, and apply the division lemma to get

4346 = 765 x 5 + 521

We consider the new divisor 765 and the new remainder 521,and apply the division lemma to get

765 = 521 x 1 + 244

We consider the new divisor 521 and the new remainder 244,and apply the division lemma to get

521 = 244 x 2 + 33

We consider the new divisor 244 and the new remainder 33,and apply the division lemma to get

244 = 33 x 7 + 13

We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get

33 = 13 x 2 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 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 5111 and 9457 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(244,33) = HCF(521,244) = HCF(765,521) = HCF(4346,765) = HCF(5111,4346) = HCF(9457,5111) .

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

Step 1: Since 94942 > 1, we apply the division lemma to 94942 and 1, to get

94942 = 1 x 94942 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94942 is 1

Notice that 1 = HCF(94942,1) .

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Frequently Asked Questions on HCF of 5111, 9457, 94942 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 5111, 9457, 94942?

Answer: HCF of 5111, 9457, 94942 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5111, 9457, 94942 using Euclid's Algorithm?

Answer: For arbitrary numbers 5111, 9457, 94942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.