Highest Common Factor of 5060, 7983 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 5060, 7983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5060, 7983 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 5060, 7983 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 5060, 7983 is 1.

HCF(5060, 7983) = 1

HCF of 5060, 7983 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 5060, 7983 is 1.

Highest Common Factor of 5060,7983 using Euclid's algorithm

Highest Common Factor of 5060,7983 is 1

Step 1: Since 7983 > 5060, we apply the division lemma to 7983 and 5060, to get

7983 = 5060 x 1 + 2923

Step 2: Since the reminder 5060 ≠ 0, we apply division lemma to 2923 and 5060, to get

5060 = 2923 x 1 + 2137

Step 3: We consider the new divisor 2923 and the new remainder 2137, and apply the division lemma to get

2923 = 2137 x 1 + 786

We consider the new divisor 2137 and the new remainder 786,and apply the division lemma to get

2137 = 786 x 2 + 565

We consider the new divisor 786 and the new remainder 565,and apply the division lemma to get

786 = 565 x 1 + 221

We consider the new divisor 565 and the new remainder 221,and apply the division lemma to get

565 = 221 x 2 + 123

We consider the new divisor 221 and the new remainder 123,and apply the division lemma to get

221 = 123 x 1 + 98

We consider the new divisor 123 and the new remainder 98,and apply the division lemma to get

123 = 98 x 1 + 25

We consider the new divisor 98 and the new remainder 25,and apply the division lemma to get

98 = 25 x 3 + 23

We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get

25 = 23 x 1 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5060 and 7983 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(98,25) = HCF(123,98) = HCF(221,123) = HCF(565,221) = HCF(786,565) = HCF(2137,786) = HCF(2923,2137) = HCF(5060,2923) = HCF(7983,5060) .

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Frequently Asked Questions on HCF of 5060, 7983 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 5060, 7983?

Answer: HCF of 5060, 7983 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5060, 7983 using Euclid's Algorithm?

Answer: For arbitrary numbers 5060, 7983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.