Highest Common Factor of 768, 5245 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 768, 5245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 768, 5245 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 768, 5245 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 768, 5245 is 1.
HCF(768, 5245) = 1
HCF of 768, 5245 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 768, 5245 is 1.
Highest Common Factor of 768,5245 is 1
Step 1: Since 5245 > 768, we apply the division lemma to 5245 and 768, to get
5245 = 768 x 6 + 637
Step 2: Since the reminder 768 ≠ 0, we apply division lemma to 637 and 768, to get
768 = 637 x 1 + 131
Step 3: We consider the new divisor 637 and the new remainder 131, and apply the division lemma to get
637 = 131 x 4 + 113
We consider the new divisor 131 and the new remainder 113,and apply the division lemma to get
131 = 113 x 1 + 18
We consider the new divisor 113 and the new remainder 18,and apply the division lemma to get
113 = 18 x 6 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 768 and 5245 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(113,18) = HCF(131,113) = HCF(637,131) = HCF(768,637) = HCF(5245,768) .
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Frequently Asked Questions on HCF of 768, 5245 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 768, 5245?
Answer: HCF of 768, 5245 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 768, 5245 using Euclid's Algorithm?
Answer: For arbitrary numbers 768, 5245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.