Highest Common Factor of 1395, 5369, 25425 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 1395, 5369, 25425 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1395, 5369, 25425 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 1395, 5369, 25425 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 1395, 5369, 25425 is 1.
HCF(1395, 5369, 25425) = 1
HCF of 1395, 5369, 25425 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1395, 5369, 25425 is 1.
Highest Common Factor of 1395,5369,25425 is 1
Step 1: Since 5369 > 1395, we apply the division lemma to 5369 and 1395, to get
5369 = 1395 x 3 + 1184
Step 2: Since the reminder 1395 ≠ 0, we apply division lemma to 1184 and 1395, to get
1395 = 1184 x 1 + 211
Step 3: We consider the new divisor 1184 and the new remainder 211, and apply the division lemma to get
1184 = 211 x 5 + 129
We consider the new divisor 211 and the new remainder 129,and apply the division lemma to get
211 = 129 x 1 + 82
We consider the new divisor 129 and the new remainder 82,and apply the division lemma to get
129 = 82 x 1 + 47
We consider the new divisor 82 and the new remainder 47,and apply the division lemma to get
82 = 47 x 1 + 35
We consider the new divisor 47 and the new remainder 35,and apply the division lemma to get
47 = 35 x 1 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1395 and 5369 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(47,35) = HCF(82,47) = HCF(129,82) = HCF(211,129) = HCF(1184,211) = HCF(1395,1184) = HCF(5369,1395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 25425 > 1, we apply the division lemma to 25425 and 1, to get
25425 = 1 x 25425 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 25425 is 1
Notice that 1 = HCF(25425,1) .
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Frequently Asked Questions on HCF of 1395, 5369, 25425 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 1395, 5369, 25425?
Answer: HCF of 1395, 5369, 25425 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1395, 5369, 25425 using Euclid's Algorithm?
Answer: For arbitrary numbers 1395, 5369, 25425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.