Highest Common Factor of 1373, 6297, 46098 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 1373, 6297, 46098 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1373, 6297, 46098 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 1373, 6297, 46098 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 1373, 6297, 46098 is 1.

HCF(1373, 6297, 46098) = 1

HCF of 1373, 6297, 46098 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 1373, 6297, 46098 is 1.

Highest Common Factor of 1373,6297,46098 using Euclid's algorithm

Highest Common Factor of 1373,6297,46098 is 1

Step 1: Since 6297 > 1373, we apply the division lemma to 6297 and 1373, to get

6297 = 1373 x 4 + 805

Step 2: Since the reminder 1373 ≠ 0, we apply division lemma to 805 and 1373, to get

1373 = 805 x 1 + 568

Step 3: We consider the new divisor 805 and the new remainder 568, and apply the division lemma to get

805 = 568 x 1 + 237

We consider the new divisor 568 and the new remainder 237,and apply the division lemma to get

568 = 237 x 2 + 94

We consider the new divisor 237 and the new remainder 94,and apply the division lemma to get

237 = 94 x 2 + 49

We consider the new divisor 94 and the new remainder 49,and apply the division lemma to get

94 = 49 x 1 + 45

We consider the new divisor 49 and the new remainder 45,and apply the division lemma to get

49 = 45 x 1 + 4

We consider the new divisor 45 and the new remainder 4,and apply the division lemma to get

45 = 4 x 11 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1373 and 6297 is 1

Notice that 1 = HCF(4,1) = HCF(45,4) = HCF(49,45) = HCF(94,49) = HCF(237,94) = HCF(568,237) = HCF(805,568) = HCF(1373,805) = HCF(6297,1373) .

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

Step 1: Since 46098 > 1, we apply the division lemma to 46098 and 1, to get

46098 = 1 x 46098 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46098 is 1

Notice that 1 = HCF(46098,1) .

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Frequently Asked Questions on HCF of 1373, 6297, 46098 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 1373, 6297, 46098?

Answer: HCF of 1373, 6297, 46098 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1373, 6297, 46098 using Euclid's Algorithm?

Answer: For arbitrary numbers 1373, 6297, 46098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.