Highest Common Factor of 7104, 8815, 46079 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 7104, 8815, 46079 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7104, 8815, 46079 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 7104, 8815, 46079 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 7104, 8815, 46079 is 1.
HCF(7104, 8815, 46079) = 1
HCF of 7104, 8815, 46079 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7104, 8815, 46079 is 1.
Highest Common Factor of 7104,8815,46079 is 1
Step 1: Since 8815 > 7104, we apply the division lemma to 8815 and 7104, to get
8815 = 7104 x 1 + 1711
Step 2: Since the reminder 7104 ≠ 0, we apply division lemma to 1711 and 7104, to get
7104 = 1711 x 4 + 260
Step 3: We consider the new divisor 1711 and the new remainder 260, and apply the division lemma to get
1711 = 260 x 6 + 151
We consider the new divisor 260 and the new remainder 151,and apply the division lemma to get
260 = 151 x 1 + 109
We consider the new divisor 151 and the new remainder 109,and apply the division lemma to get
151 = 109 x 1 + 42
We consider the new divisor 109 and the new remainder 42,and apply the division lemma to get
109 = 42 x 2 + 25
We consider the new divisor 42 and the new remainder 25,and apply the division lemma to get
42 = 25 x 1 + 17
We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get
25 = 17 x 1 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7104 and 8815 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(42,25) = HCF(109,42) = HCF(151,109) = HCF(260,151) = HCF(1711,260) = HCF(7104,1711) = HCF(8815,7104) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46079 > 1, we apply the division lemma to 46079 and 1, to get
46079 = 1 x 46079 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46079 is 1
Notice that 1 = HCF(46079,1) .
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Frequently Asked Questions on HCF of 7104, 8815, 46079 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 7104, 8815, 46079?
Answer: HCF of 7104, 8815, 46079 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7104, 8815, 46079 using Euclid's Algorithm?
Answer: For arbitrary numbers 7104, 8815, 46079 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.