Highest Common Factor of 751, 455, 541 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, 455, 541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 751, 455, 541 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, 455, 541 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, 455, 541 is 1.

HCF(751, 455, 541) = 1

HCF of 751, 455, 541 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, 455, 541 is 1.

Highest Common Factor of 751,455,541 using Euclid's algorithm

Highest Common Factor of 751,455,541 is 1

Step 1: Since 751 > 455, we apply the division lemma to 751 and 455, to get

751 = 455 x 1 + 296

Step 2: Since the reminder 455 ≠ 0, we apply division lemma to 296 and 455, to get

455 = 296 x 1 + 159

Step 3: We consider the new divisor 296 and the new remainder 159, and apply the division lemma to get

296 = 159 x 1 + 137

We consider the new divisor 159 and the new remainder 137,and apply the division lemma to get

159 = 137 x 1 + 22

We consider the new divisor 137 and the new remainder 22,and apply the division lemma to get

137 = 22 x 6 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 751 and 455 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(137,22) = HCF(159,137) = HCF(296,159) = HCF(455,296) = HCF(751,455) .

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

Step 1: Since 541 > 1, we apply the division lemma to 541 and 1, to get

541 = 1 x 541 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 541 is 1

Notice that 1 = HCF(541,1) .

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Frequently Asked Questions on HCF of 751, 455, 541 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, 455, 541?

Answer: HCF of 751, 455, 541 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 751, 455, 541 using Euclid's Algorithm?

Answer: For arbitrary numbers 751, 455, 541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.