Highest Common Factor of 819, 7685 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 819, 7685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 819, 7685 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 819, 7685 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 819, 7685 is 1.
HCF(819, 7685) = 1
HCF of 819, 7685 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 819, 7685 is 1.
Highest Common Factor of 819,7685 is 1
Step 1: Since 7685 > 819, we apply the division lemma to 7685 and 819, to get
7685 = 819 x 9 + 314
Step 2: Since the reminder 819 ≠ 0, we apply division lemma to 314 and 819, to get
819 = 314 x 2 + 191
Step 3: We consider the new divisor 314 and the new remainder 191, and apply the division lemma to get
314 = 191 x 1 + 123
We consider the new divisor 191 and the new remainder 123,and apply the division lemma to get
191 = 123 x 1 + 68
We consider the new divisor 123 and the new remainder 68,and apply the division lemma to get
123 = 68 x 1 + 55
We consider the new divisor 68 and the new remainder 55,and apply the division lemma to get
68 = 55 x 1 + 13
We consider the new divisor 55 and the new remainder 13,and apply the division lemma to get
55 = 13 x 4 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 819 and 7685 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(55,13) = HCF(68,55) = HCF(123,68) = HCF(191,123) = HCF(314,191) = HCF(819,314) = HCF(7685,819) .
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Frequently Asked Questions on HCF of 819, 7685 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 819, 7685?
Answer: HCF of 819, 7685 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 819, 7685 using Euclid's Algorithm?
Answer: For arbitrary numbers 819, 7685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.