Highest Common Factor of 3364, 7711, 88064 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 3364, 7711, 88064 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3364, 7711, 88064 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 3364, 7711, 88064 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 3364, 7711, 88064 is 1.
HCF(3364, 7711, 88064) = 1
HCF of 3364, 7711, 88064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3364, 7711, 88064 is 1.
Highest Common Factor of 3364,7711,88064 is 1
Step 1: Since 7711 > 3364, we apply the division lemma to 7711 and 3364, to get
7711 = 3364 x 2 + 983
Step 2: Since the reminder 3364 ≠ 0, we apply division lemma to 983 and 3364, to get
3364 = 983 x 3 + 415
Step 3: We consider the new divisor 983 and the new remainder 415, and apply the division lemma to get
983 = 415 x 2 + 153
We consider the new divisor 415 and the new remainder 153,and apply the division lemma to get
415 = 153 x 2 + 109
We consider the new divisor 153 and the new remainder 109,and apply the division lemma to get
153 = 109 x 1 + 44
We consider the new divisor 109 and the new remainder 44,and apply the division lemma to get
109 = 44 x 2 + 21
We consider the new divisor 44 and the new remainder 21,and apply the division lemma to get
44 = 21 x 2 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 3364 and 7711 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(44,21) = HCF(109,44) = HCF(153,109) = HCF(415,153) = HCF(983,415) = HCF(3364,983) = HCF(7711,3364) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88064 > 1, we apply the division lemma to 88064 and 1, to get
88064 = 1 x 88064 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88064 is 1
Notice that 1 = HCF(88064,1) .
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Frequently Asked Questions on HCF of 3364, 7711, 88064 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 3364, 7711, 88064?
Answer: HCF of 3364, 7711, 88064 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3364, 7711, 88064 using Euclid's Algorithm?
Answer: For arbitrary numbers 3364, 7711, 88064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.