Highest Common Factor of 7719, 5540 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 7719, 5540 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7719, 5540 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 7719, 5540 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 7719, 5540 is 1.

HCF(7719, 5540) = 1

HCF of 7719, 5540 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7719, 5540 is 1.

Highest Common Factor of 7719,5540 using Euclid's algorithm

Highest Common Factor of 7719,5540 is 1

Step 1: Since 7719 > 5540, we apply the division lemma to 7719 and 5540, to get

7719 = 5540 x 1 + 2179

Step 2: Since the reminder 5540 ≠ 0, we apply division lemma to 2179 and 5540, to get

5540 = 2179 x 2 + 1182

Step 3: We consider the new divisor 2179 and the new remainder 1182, and apply the division lemma to get

2179 = 1182 x 1 + 997

We consider the new divisor 1182 and the new remainder 997,and apply the division lemma to get

1182 = 997 x 1 + 185

We consider the new divisor 997 and the new remainder 185,and apply the division lemma to get

997 = 185 x 5 + 72

We consider the new divisor 185 and the new remainder 72,and apply the division lemma to get

185 = 72 x 2 + 41

We consider the new divisor 72 and the new remainder 41,and apply the division lemma to get

72 = 41 x 1 + 31

We consider the new divisor 41 and the new remainder 31,and apply the division lemma to get

41 = 31 x 1 + 10

We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get

31 = 10 x 3 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7719 and 5540 is 1

Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(41,31) = HCF(72,41) = HCF(185,72) = HCF(997,185) = HCF(1182,997) = HCF(2179,1182) = HCF(5540,2179) = HCF(7719,5540) .

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Frequently Asked Questions on HCF of 7719, 5540 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 7719, 5540?

Answer: HCF of 7719, 5540 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7719, 5540 using Euclid's Algorithm?

Answer: For arbitrary numbers 7719, 5540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.