Highest Common Factor of 7955, 4266 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 7955, 4266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7955, 4266 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 7955, 4266 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 7955, 4266 is 1.

HCF(7955, 4266) = 1

HCF of 7955, 4266 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 7955, 4266 is 1.

Highest Common Factor of 7955,4266 using Euclid's algorithm

Highest Common Factor of 7955,4266 is 1

Step 1: Since 7955 > 4266, we apply the division lemma to 7955 and 4266, to get

7955 = 4266 x 1 + 3689

Step 2: Since the reminder 4266 ≠ 0, we apply division lemma to 3689 and 4266, to get

4266 = 3689 x 1 + 577

Step 3: We consider the new divisor 3689 and the new remainder 577, and apply the division lemma to get

3689 = 577 x 6 + 227

We consider the new divisor 577 and the new remainder 227,and apply the division lemma to get

577 = 227 x 2 + 123

We consider the new divisor 227 and the new remainder 123,and apply the division lemma to get

227 = 123 x 1 + 104

We consider the new divisor 123 and the new remainder 104,and apply the division lemma to get

123 = 104 x 1 + 19

We consider the new divisor 104 and the new remainder 19,and apply the division lemma to get

104 = 19 x 5 + 9

We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get

19 = 9 x 2 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7955 and 4266 is 1

Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(104,19) = HCF(123,104) = HCF(227,123) = HCF(577,227) = HCF(3689,577) = HCF(4266,3689) = HCF(7955,4266) .

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Frequently Asked Questions on HCF of 7955, 4266 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 7955, 4266?

Answer: HCF of 7955, 4266 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7955, 4266 using Euclid's Algorithm?

Answer: For arbitrary numbers 7955, 4266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.