Highest Common Factor of 9140, 1419, 52506 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 9140, 1419, 52506 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9140, 1419, 52506 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 9140, 1419, 52506 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 9140, 1419, 52506 is 1.

HCF(9140, 1419, 52506) = 1

HCF of 9140, 1419, 52506 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 9140, 1419, 52506 is 1.

Highest Common Factor of 9140,1419,52506 using Euclid's algorithm

Highest Common Factor of 9140,1419,52506 is 1

Step 1: Since 9140 > 1419, we apply the division lemma to 9140 and 1419, to get

9140 = 1419 x 6 + 626

Step 2: Since the reminder 1419 ≠ 0, we apply division lemma to 626 and 1419, to get

1419 = 626 x 2 + 167

Step 3: We consider the new divisor 626 and the new remainder 167, and apply the division lemma to get

626 = 167 x 3 + 125

We consider the new divisor 167 and the new remainder 125,and apply the division lemma to get

167 = 125 x 1 + 42

We consider the new divisor 125 and the new remainder 42,and apply the division lemma to get

125 = 42 x 2 + 41

We consider the new divisor 42 and the new remainder 41,and apply the division lemma to get

42 = 41 x 1 + 1

We consider the new divisor 41 and the new remainder 1,and apply the division lemma to get

41 = 1 x 41 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9140 and 1419 is 1

Notice that 1 = HCF(41,1) = HCF(42,41) = HCF(125,42) = HCF(167,125) = HCF(626,167) = HCF(1419,626) = HCF(9140,1419) .

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

Step 1: Since 52506 > 1, we apply the division lemma to 52506 and 1, to get

52506 = 1 x 52506 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52506 is 1

Notice that 1 = HCF(52506,1) .

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Frequently Asked Questions on HCF of 9140, 1419, 52506 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 9140, 1419, 52506?

Answer: HCF of 9140, 1419, 52506 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9140, 1419, 52506 using Euclid's Algorithm?

Answer: For arbitrary numbers 9140, 1419, 52506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.