Highest Common Factor of 7706, 3064 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 7706, 3064 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7706, 3064 is 2 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 7706, 3064 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 7706, 3064 is 2.
HCF(7706, 3064) = 2
HCF of 7706, 3064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7706, 3064 is 2.
Highest Common Factor of 7706,3064 is 2
Step 1: Since 7706 > 3064, we apply the division lemma to 7706 and 3064, to get
7706 = 3064 x 2 + 1578
Step 2: Since the reminder 3064 ≠ 0, we apply division lemma to 1578 and 3064, to get
3064 = 1578 x 1 + 1486
Step 3: We consider the new divisor 1578 and the new remainder 1486, and apply the division lemma to get
1578 = 1486 x 1 + 92
We consider the new divisor 1486 and the new remainder 92,and apply the division lemma to get
1486 = 92 x 16 + 14
We consider the new divisor 92 and the new remainder 14,and apply the division lemma to get
92 = 14 x 6 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7706 and 3064 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(92,14) = HCF(1486,92) = HCF(1578,1486) = HCF(3064,1578) = HCF(7706,3064) .
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Frequently Asked Questions on HCF of 7706, 3064 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 7706, 3064?
Answer: HCF of 7706, 3064 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7706, 3064 using Euclid's Algorithm?
Answer: For arbitrary numbers 7706, 3064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.