Highest Common Factor of 3092, 5100, 60022 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 3092, 5100, 60022 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 3092, 5100, 60022 is 2 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 3092, 5100, 60022 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 3092, 5100, 60022 is 2.

HCF(3092, 5100, 60022) = 2

HCF of 3092, 5100, 60022 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 3092, 5100, 60022 is 2.

Highest Common Factor of 3092,5100,60022 using Euclid's algorithm

Highest Common Factor of 3092,5100,60022 is 2

Step 1: Since 5100 > 3092, we apply the division lemma to 5100 and 3092, to get

5100 = 3092 x 1 + 2008

Step 2: Since the reminder 3092 ≠ 0, we apply division lemma to 2008 and 3092, to get

3092 = 2008 x 1 + 1084

Step 3: We consider the new divisor 2008 and the new remainder 1084, and apply the division lemma to get

2008 = 1084 x 1 + 924

We consider the new divisor 1084 and the new remainder 924,and apply the division lemma to get

1084 = 924 x 1 + 160

We consider the new divisor 924 and the new remainder 160,and apply the division lemma to get

924 = 160 x 5 + 124

We consider the new divisor 160 and the new remainder 124,and apply the division lemma to get

160 = 124 x 1 + 36

We consider the new divisor 124 and the new remainder 36,and apply the division lemma to get

124 = 36 x 3 + 16

We consider the new divisor 36 and the new remainder 16,and apply the division lemma to get

36 = 16 x 2 + 4

We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3092 and 5100 is 4

Notice that 4 = HCF(16,4) = HCF(36,16) = HCF(124,36) = HCF(160,124) = HCF(924,160) = HCF(1084,924) = HCF(2008,1084) = HCF(3092,2008) = HCF(5100,3092) .

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

Step 1: Since 60022 > 4, we apply the division lemma to 60022 and 4, to get

60022 = 4 x 15005 + 2

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, 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 4 and 60022 is 2

Notice that 2 = HCF(4,2) = HCF(60022,4) .

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Frequently Asked Questions on HCF of 3092, 5100, 60022 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 3092, 5100, 60022?

Answer: HCF of 3092, 5100, 60022 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3092, 5100, 60022 using Euclid's Algorithm?

Answer: For arbitrary numbers 3092, 5100, 60022 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.