Highest Common Factor of 6767, 5584 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 6767, 5584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6767, 5584 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 6767, 5584 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 6767, 5584 is 1.

HCF(6767, 5584) = 1

HCF of 6767, 5584 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 6767, 5584 is 1.

Highest Common Factor of 6767,5584 using Euclid's algorithm

Highest Common Factor of 6767,5584 is 1

Step 1: Since 6767 > 5584, we apply the division lemma to 6767 and 5584, to get

6767 = 5584 x 1 + 1183

Step 2: Since the reminder 5584 ≠ 0, we apply division lemma to 1183 and 5584, to get

5584 = 1183 x 4 + 852

Step 3: We consider the new divisor 1183 and the new remainder 852, and apply the division lemma to get

1183 = 852 x 1 + 331

We consider the new divisor 852 and the new remainder 331,and apply the division lemma to get

852 = 331 x 2 + 190

We consider the new divisor 331 and the new remainder 190,and apply the division lemma to get

331 = 190 x 1 + 141

We consider the new divisor 190 and the new remainder 141,and apply the division lemma to get

190 = 141 x 1 + 49

We consider the new divisor 141 and the new remainder 49,and apply the division lemma to get

141 = 49 x 2 + 43

We consider the new divisor 49 and the new remainder 43,and apply the division lemma to get

49 = 43 x 1 + 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 6767 and 5584 is 1

Notice that 1 = HCF(6,1) = HCF(43,6) = HCF(49,43) = HCF(141,49) = HCF(190,141) = HCF(331,190) = HCF(852,331) = HCF(1183,852) = HCF(5584,1183) = HCF(6767,5584) .

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Frequently Asked Questions on HCF of 6767, 5584 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 6767, 5584?

Answer: HCF of 6767, 5584 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6767, 5584 using Euclid's Algorithm?

Answer: For arbitrary numbers 6767, 5584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.