Highest Common Factor of 7395, 1564, 30059 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 7395, 1564, 30059 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7395, 1564, 30059 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 7395, 1564, 30059 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 7395, 1564, 30059 is 1.
HCF(7395, 1564, 30059) = 1
HCF of 7395, 1564, 30059 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7395, 1564, 30059 is 1.
Highest Common Factor of 7395,1564,30059 is 1
Step 1: Since 7395 > 1564, we apply the division lemma to 7395 and 1564, to get
7395 = 1564 x 4 + 1139
Step 2: Since the reminder 1564 ≠ 0, we apply division lemma to 1139 and 1564, to get
1564 = 1139 x 1 + 425
Step 3: We consider the new divisor 1139 and the new remainder 425, and apply the division lemma to get
1139 = 425 x 2 + 289
We consider the new divisor 425 and the new remainder 289,and apply the division lemma to get
425 = 289 x 1 + 136
We consider the new divisor 289 and the new remainder 136,and apply the division lemma to get
289 = 136 x 2 + 17
We consider the new divisor 136 and the new remainder 17,and apply the division lemma to get
136 = 17 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 7395 and 1564 is 17
Notice that 17 = HCF(136,17) = HCF(289,136) = HCF(425,289) = HCF(1139,425) = HCF(1564,1139) = HCF(7395,1564) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30059 > 17, we apply the division lemma to 30059 and 17, to get
30059 = 17 x 1768 + 3
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 3 and 17, to get
17 = 3 x 5 + 2
Step 3: 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 17 and 30059 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(30059,17) .
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Frequently Asked Questions on HCF of 7395, 1564, 30059 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 7395, 1564, 30059?
Answer: HCF of 7395, 1564, 30059 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7395, 1564, 30059 using Euclid's Algorithm?
Answer: For arbitrary numbers 7395, 1564, 30059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.