Highest Common Factor of 6776, 9373, 52244 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 6776, 9373, 52244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6776, 9373, 52244 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 6776, 9373, 52244 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 6776, 9373, 52244 is 1.

HCF(6776, 9373, 52244) = 1

HCF of 6776, 9373, 52244 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 6776, 9373, 52244 is 1.

Highest Common Factor of 6776,9373,52244 using Euclid's algorithm

Highest Common Factor of 6776,9373,52244 is 1

Step 1: Since 9373 > 6776, we apply the division lemma to 9373 and 6776, to get

9373 = 6776 x 1 + 2597

Step 2: Since the reminder 6776 ≠ 0, we apply division lemma to 2597 and 6776, to get

6776 = 2597 x 2 + 1582

Step 3: We consider the new divisor 2597 and the new remainder 1582, and apply the division lemma to get

2597 = 1582 x 1 + 1015

We consider the new divisor 1582 and the new remainder 1015,and apply the division lemma to get

1582 = 1015 x 1 + 567

We consider the new divisor 1015 and the new remainder 567,and apply the division lemma to get

1015 = 567 x 1 + 448

We consider the new divisor 567 and the new remainder 448,and apply the division lemma to get

567 = 448 x 1 + 119

We consider the new divisor 448 and the new remainder 119,and apply the division lemma to get

448 = 119 x 3 + 91

We consider the new divisor 119 and the new remainder 91,and apply the division lemma to get

119 = 91 x 1 + 28

We consider the new divisor 91 and the new remainder 28,and apply the division lemma to get

91 = 28 x 3 + 7

We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get

28 = 7 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 6776 and 9373 is 7

Notice that 7 = HCF(28,7) = HCF(91,28) = HCF(119,91) = HCF(448,119) = HCF(567,448) = HCF(1015,567) = HCF(1582,1015) = HCF(2597,1582) = HCF(6776,2597) = HCF(9373,6776) .

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

Step 1: Since 52244 > 7, we apply the division lemma to 52244 and 7, to get

52244 = 7 x 7463 + 3

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get

7 = 3 x 2 + 1

Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 52244 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(52244,7) .

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Frequently Asked Questions on HCF of 6776, 9373, 52244 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 6776, 9373, 52244?

Answer: HCF of 6776, 9373, 52244 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6776, 9373, 52244 using Euclid's Algorithm?

Answer: For arbitrary numbers 6776, 9373, 52244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.