Highest Common Factor of 332, 218, 751 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 332, 218, 751 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 332, 218, 751 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 332, 218, 751 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 332, 218, 751 is 1.

HCF(332, 218, 751) = 1

HCF of 332, 218, 751 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 332, 218, 751 is 1.

Highest Common Factor of 332,218,751 using Euclid's algorithm

Highest Common Factor of 332,218,751 is 1

Step 1: Since 332 > 218, we apply the division lemma to 332 and 218, to get

332 = 218 x 1 + 114

Step 2: Since the reminder 218 ≠ 0, we apply division lemma to 114 and 218, to get

218 = 114 x 1 + 104

Step 3: We consider the new divisor 114 and the new remainder 104, and apply the division lemma to get

114 = 104 x 1 + 10

We consider the new divisor 104 and the new remainder 10,and apply the division lemma to get

104 = 10 x 10 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 332 and 218 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(104,10) = HCF(114,104) = HCF(218,114) = HCF(332,218) .

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

Step 1: Since 751 > 2, we apply the division lemma to 751 and 2, to get

751 = 2 x 375 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 751 is 1

Notice that 1 = HCF(2,1) = HCF(751,2) .

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Frequently Asked Questions on HCF of 332, 218, 751 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 332, 218, 751?

Answer: HCF of 332, 218, 751 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 332, 218, 751 using Euclid's Algorithm?

Answer: For arbitrary numbers 332, 218, 751 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.