Highest Common Factor of 368, 557, 107 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 368, 557, 107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 368, 557, 107 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 368, 557, 107 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 368, 557, 107 is 1.

HCF(368, 557, 107) = 1

HCF of 368, 557, 107 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 368, 557, 107 is 1.

Highest Common Factor of 368,557,107 using Euclid's algorithm

Highest Common Factor of 368,557,107 is 1

Step 1: Since 557 > 368, we apply the division lemma to 557 and 368, to get

557 = 368 x 1 + 189

Step 2: Since the reminder 368 ≠ 0, we apply division lemma to 189 and 368, to get

368 = 189 x 1 + 179

Step 3: We consider the new divisor 189 and the new remainder 179, and apply the division lemma to get

189 = 179 x 1 + 10

We consider the new divisor 179 and the new remainder 10,and apply the division lemma to get

179 = 10 x 17 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 368 and 557 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(179,10) = HCF(189,179) = HCF(368,189) = HCF(557,368) .

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

Step 1: Since 107 > 1, we apply the division lemma to 107 and 1, to get

107 = 1 x 107 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 107 is 1

Notice that 1 = HCF(107,1) .

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Frequently Asked Questions on HCF of 368, 557, 107 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 368, 557, 107?

Answer: HCF of 368, 557, 107 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 368, 557, 107 using Euclid's Algorithm?

Answer: For arbitrary numbers 368, 557, 107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.