Highest Common Factor of 6766, 7591, 83772 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 6766, 7591, 83772 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6766, 7591, 83772 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 6766, 7591, 83772 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 6766, 7591, 83772 is 1.

HCF(6766, 7591, 83772) = 1

HCF of 6766, 7591, 83772 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 6766, 7591, 83772 is 1.

Highest Common Factor of 6766,7591,83772 using Euclid's algorithm

Highest Common Factor of 6766,7591,83772 is 1

Step 1: Since 7591 > 6766, we apply the division lemma to 7591 and 6766, to get

7591 = 6766 x 1 + 825

Step 2: Since the reminder 6766 ≠ 0, we apply division lemma to 825 and 6766, to get

6766 = 825 x 8 + 166

Step 3: We consider the new divisor 825 and the new remainder 166, and apply the division lemma to get

825 = 166 x 4 + 161

We consider the new divisor 166 and the new remainder 161,and apply the division lemma to get

166 = 161 x 1 + 5

We consider the new divisor 161 and the new remainder 5,and apply the division lemma to get

161 = 5 x 32 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6766 and 7591 is 1

Notice that 1 = HCF(5,1) = HCF(161,5) = HCF(166,161) = HCF(825,166) = HCF(6766,825) = HCF(7591,6766) .

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

Step 1: Since 83772 > 1, we apply the division lemma to 83772 and 1, to get

83772 = 1 x 83772 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83772 is 1

Notice that 1 = HCF(83772,1) .

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Frequently Asked Questions on HCF of 6766, 7591, 83772 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 6766, 7591, 83772?

Answer: HCF of 6766, 7591, 83772 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6766, 7591, 83772 using Euclid's Algorithm?

Answer: For arbitrary numbers 6766, 7591, 83772 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.