Highest Common Factor of 1228, 1595, 74787 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 1228, 1595, 74787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1228, 1595, 74787 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 1228, 1595, 74787 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 1228, 1595, 74787 is 1.

HCF(1228, 1595, 74787) = 1

HCF of 1228, 1595, 74787 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 1228, 1595, 74787 is 1.

Highest Common Factor of 1228,1595,74787 using Euclid's algorithm

Highest Common Factor of 1228,1595,74787 is 1

Step 1: Since 1595 > 1228, we apply the division lemma to 1595 and 1228, to get

1595 = 1228 x 1 + 367

Step 2: Since the reminder 1228 ≠ 0, we apply division lemma to 367 and 1228, to get

1228 = 367 x 3 + 127

Step 3: We consider the new divisor 367 and the new remainder 127, and apply the division lemma to get

367 = 127 x 2 + 113

We consider the new divisor 127 and the new remainder 113,and apply the division lemma to get

127 = 113 x 1 + 14

We consider the new divisor 113 and the new remainder 14,and apply the division lemma to get

113 = 14 x 8 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1228 and 1595 is 1

Notice that 1 = HCF(14,1) = HCF(113,14) = HCF(127,113) = HCF(367,127) = HCF(1228,367) = HCF(1595,1228) .

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

Step 1: Since 74787 > 1, we apply the division lemma to 74787 and 1, to get

74787 = 1 x 74787 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74787 is 1

Notice that 1 = HCF(74787,1) .

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Frequently Asked Questions on HCF of 1228, 1595, 74787 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 1228, 1595, 74787?

Answer: HCF of 1228, 1595, 74787 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1228, 1595, 74787 using Euclid's Algorithm?

Answer: For arbitrary numbers 1228, 1595, 74787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.