Highest Common Factor of 7969, 6785 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 7969, 6785 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7969, 6785 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 7969, 6785 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 7969, 6785 is 1.

HCF(7969, 6785) = 1

HCF of 7969, 6785 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 7969, 6785 is 1.

Highest Common Factor of 7969,6785 using Euclid's algorithm

Highest Common Factor of 7969,6785 is 1

Step 1: Since 7969 > 6785, we apply the division lemma to 7969 and 6785, to get

7969 = 6785 x 1 + 1184

Step 2: Since the reminder 6785 ≠ 0, we apply division lemma to 1184 and 6785, to get

6785 = 1184 x 5 + 865

Step 3: We consider the new divisor 1184 and the new remainder 865, and apply the division lemma to get

1184 = 865 x 1 + 319

We consider the new divisor 865 and the new remainder 319,and apply the division lemma to get

865 = 319 x 2 + 227

We consider the new divisor 319 and the new remainder 227,and apply the division lemma to get

319 = 227 x 1 + 92

We consider the new divisor 227 and the new remainder 92,and apply the division lemma to get

227 = 92 x 2 + 43

We consider the new divisor 92 and the new remainder 43,and apply the division lemma to get

92 = 43 x 2 + 6

We consider the new divisor 43 and the new remainder 6,and apply the division lemma to get

43 = 6 x 7 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7969 and 6785 is 1

Notice that 1 = HCF(6,1) = HCF(43,6) = HCF(92,43) = HCF(227,92) = HCF(319,227) = HCF(865,319) = HCF(1184,865) = HCF(6785,1184) = HCF(7969,6785) .

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Frequently Asked Questions on HCF of 7969, 6785 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 7969, 6785?

Answer: HCF of 7969, 6785 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7969, 6785 using Euclid's Algorithm?

Answer: For arbitrary numbers 7969, 6785 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.