Highest Common Factor of 744, 877, 528 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 744, 877, 528 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 744, 877, 528 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 744, 877, 528 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 744, 877, 528 is 1.

HCF(744, 877, 528) = 1

HCF of 744, 877, 528 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 744, 877, 528 is 1.

Highest Common Factor of 744,877,528 using Euclid's algorithm

Highest Common Factor of 744,877,528 is 1

Step 1: Since 877 > 744, we apply the division lemma to 877 and 744, to get

877 = 744 x 1 + 133

Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 133 and 744, to get

744 = 133 x 5 + 79

Step 3: We consider the new divisor 133 and the new remainder 79, and apply the division lemma to get

133 = 79 x 1 + 54

We consider the new divisor 79 and the new remainder 54,and apply the division lemma to get

79 = 54 x 1 + 25

We consider the new divisor 54 and the new remainder 25,and apply the division lemma to get

54 = 25 x 2 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 744 and 877 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(54,25) = HCF(79,54) = HCF(133,79) = HCF(744,133) = HCF(877,744) .

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

Step 1: Since 528 > 1, we apply the division lemma to 528 and 1, to get

528 = 1 x 528 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 528 is 1

Notice that 1 = HCF(528,1) .

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Frequently Asked Questions on HCF of 744, 877, 528 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 744, 877, 528?

Answer: HCF of 744, 877, 528 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 744, 877, 528 using Euclid's Algorithm?

Answer: For arbitrary numbers 744, 877, 528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.