Highest Common Factor of 5792, 7767 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 5792, 7767 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5792, 7767 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 5792, 7767 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 5792, 7767 is 1.

HCF(5792, 7767) = 1

HCF of 5792, 7767 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 5792, 7767 is 1.

Highest Common Factor of 5792,7767 using Euclid's algorithm

Highest Common Factor of 5792,7767 is 1

Step 1: Since 7767 > 5792, we apply the division lemma to 7767 and 5792, to get

7767 = 5792 x 1 + 1975

Step 2: Since the reminder 5792 ≠ 0, we apply division lemma to 1975 and 5792, to get

5792 = 1975 x 2 + 1842

Step 3: We consider the new divisor 1975 and the new remainder 1842, and apply the division lemma to get

1975 = 1842 x 1 + 133

We consider the new divisor 1842 and the new remainder 133,and apply the division lemma to get

1842 = 133 x 13 + 113

We consider the new divisor 133 and the new remainder 113,and apply the division lemma to get

133 = 113 x 1 + 20

We consider the new divisor 113 and the new remainder 20,and apply the division lemma to get

113 = 20 x 5 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 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 5792 and 7767 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(113,20) = HCF(133,113) = HCF(1842,133) = HCF(1975,1842) = HCF(5792,1975) = HCF(7767,5792) .

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Frequently Asked Questions on HCF of 5792, 7767 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 5792, 7767?

Answer: HCF of 5792, 7767 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5792, 7767 using Euclid's Algorithm?

Answer: For arbitrary numbers 5792, 7767 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.