Highest Common Factor of 3222, 5057, 77786 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 3222, 5057, 77786 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3222, 5057, 77786 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 3222, 5057, 77786 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 3222, 5057, 77786 is 1.

HCF(3222, 5057, 77786) = 1

HCF of 3222, 5057, 77786 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 3222, 5057, 77786 is 1.

Highest Common Factor of 3222,5057,77786 using Euclid's algorithm

Highest Common Factor of 3222,5057,77786 is 1

Step 1: Since 5057 > 3222, we apply the division lemma to 5057 and 3222, to get

5057 = 3222 x 1 + 1835

Step 2: Since the reminder 3222 ≠ 0, we apply division lemma to 1835 and 3222, to get

3222 = 1835 x 1 + 1387

Step 3: We consider the new divisor 1835 and the new remainder 1387, and apply the division lemma to get

1835 = 1387 x 1 + 448

We consider the new divisor 1387 and the new remainder 448,and apply the division lemma to get

1387 = 448 x 3 + 43

We consider the new divisor 448 and the new remainder 43,and apply the division lemma to get

448 = 43 x 10 + 18

We consider the new divisor 43 and the new remainder 18,and apply the division lemma to get

43 = 18 x 2 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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 3222 and 5057 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(43,18) = HCF(448,43) = HCF(1387,448) = HCF(1835,1387) = HCF(3222,1835) = HCF(5057,3222) .

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

Step 1: Since 77786 > 1, we apply the division lemma to 77786 and 1, to get

77786 = 1 x 77786 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77786 is 1

Notice that 1 = HCF(77786,1) .

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Frequently Asked Questions on HCF of 3222, 5057, 77786 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 3222, 5057, 77786?

Answer: HCF of 3222, 5057, 77786 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3222, 5057, 77786 using Euclid's Algorithm?

Answer: For arbitrary numbers 3222, 5057, 77786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.