Highest Common Factor of 8942, 8340, 92099 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 8942, 8340, 92099 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8942, 8340, 92099 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 8942, 8340, 92099 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 8942, 8340, 92099 is 1.

HCF(8942, 8340, 92099) = 1

HCF of 8942, 8340, 92099 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 8942, 8340, 92099 is 1.

Highest Common Factor of 8942,8340,92099 using Euclid's algorithm

Highest Common Factor of 8942,8340,92099 is 1

Step 1: Since 8942 > 8340, we apply the division lemma to 8942 and 8340, to get

8942 = 8340 x 1 + 602

Step 2: Since the reminder 8340 ≠ 0, we apply division lemma to 602 and 8340, to get

8340 = 602 x 13 + 514

Step 3: We consider the new divisor 602 and the new remainder 514, and apply the division lemma to get

602 = 514 x 1 + 88

We consider the new divisor 514 and the new remainder 88,and apply the division lemma to get

514 = 88 x 5 + 74

We consider the new divisor 88 and the new remainder 74,and apply the division lemma to get

88 = 74 x 1 + 14

We consider the new divisor 74 and the new remainder 14,and apply the division lemma to get

74 = 14 x 5 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 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 8942 and 8340 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(74,14) = HCF(88,74) = HCF(514,88) = HCF(602,514) = HCF(8340,602) = HCF(8942,8340) .

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

Step 1: Since 92099 > 2, we apply the division lemma to 92099 and 2, to get

92099 = 2 x 46049 + 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 92099 is 1

Notice that 1 = HCF(2,1) = HCF(92099,2) .

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Frequently Asked Questions on HCF of 8942, 8340, 92099 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 8942, 8340, 92099?

Answer: HCF of 8942, 8340, 92099 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8942, 8340, 92099 using Euclid's Algorithm?

Answer: For arbitrary numbers 8942, 8340, 92099 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.