Highest Common Factor of 2325, 5095, 50092 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 2325, 5095, 50092 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2325, 5095, 50092 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 2325, 5095, 50092 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 2325, 5095, 50092 is 1.

HCF(2325, 5095, 50092) = 1

HCF of 2325, 5095, 50092 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 2325, 5095, 50092 is 1.

Highest Common Factor of 2325,5095,50092 using Euclid's algorithm

Highest Common Factor of 2325,5095,50092 is 1

Step 1: Since 5095 > 2325, we apply the division lemma to 5095 and 2325, to get

5095 = 2325 x 2 + 445

Step 2: Since the reminder 2325 ≠ 0, we apply division lemma to 445 and 2325, to get

2325 = 445 x 5 + 100

Step 3: We consider the new divisor 445 and the new remainder 100, and apply the division lemma to get

445 = 100 x 4 + 45

We consider the new divisor 100 and the new remainder 45,and apply the division lemma to get

100 = 45 x 2 + 10

We consider the new divisor 45 and the new remainder 10,and apply the division lemma to get

45 = 10 x 4 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2325 and 5095 is 5

Notice that 5 = HCF(10,5) = HCF(45,10) = HCF(100,45) = HCF(445,100) = HCF(2325,445) = HCF(5095,2325) .

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

Step 1: Since 50092 > 5, we apply the division lemma to 50092 and 5, to get

50092 = 5 x 10018 + 2

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get

5 = 2 x 2 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 5 and 50092 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(50092,5) .

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Frequently Asked Questions on HCF of 2325, 5095, 50092 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 2325, 5095, 50092?

Answer: HCF of 2325, 5095, 50092 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2325, 5095, 50092 using Euclid's Algorithm?

Answer: For arbitrary numbers 2325, 5095, 50092 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.