Highest Common Factor of 751, 4230, 9205 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 751, 4230, 9205 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 751, 4230, 9205 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 751, 4230, 9205 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 751, 4230, 9205 is 1.

HCF(751, 4230, 9205) = 1

HCF of 751, 4230, 9205 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 751, 4230, 9205 is 1.

Highest Common Factor of 751,4230,9205 using Euclid's algorithm

Highest Common Factor of 751,4230,9205 is 1

Step 1: Since 4230 > 751, we apply the division lemma to 4230 and 751, to get

4230 = 751 x 5 + 475

Step 2: Since the reminder 751 ≠ 0, we apply division lemma to 475 and 751, to get

751 = 475 x 1 + 276

Step 3: We consider the new divisor 475 and the new remainder 276, and apply the division lemma to get

475 = 276 x 1 + 199

We consider the new divisor 276 and the new remainder 199,and apply the division lemma to get

276 = 199 x 1 + 77

We consider the new divisor 199 and the new remainder 77,and apply the division lemma to get

199 = 77 x 2 + 45

We consider the new divisor 77 and the new remainder 45,and apply the division lemma to get

77 = 45 x 1 + 32

We consider the new divisor 45 and the new remainder 32,and apply the division lemma to get

45 = 32 x 1 + 13

We consider the new divisor 32 and the new remainder 13,and apply the division lemma to get

32 = 13 x 2 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 751 and 4230 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(32,13) = HCF(45,32) = HCF(77,45) = HCF(199,77) = HCF(276,199) = HCF(475,276) = HCF(751,475) = HCF(4230,751) .

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

Step 1: Since 9205 > 1, we apply the division lemma to 9205 and 1, to get

9205 = 1 x 9205 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9205 is 1

Notice that 1 = HCF(9205,1) .

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Frequently Asked Questions on HCF of 751, 4230, 9205 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 751, 4230, 9205?

Answer: HCF of 751, 4230, 9205 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 751, 4230, 9205 using Euclid's Algorithm?

Answer: For arbitrary numbers 751, 4230, 9205 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.