Highest Common Factor of 4369, 3032, 75614 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 4369, 3032, 75614 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4369, 3032, 75614 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 4369, 3032, 75614 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 4369, 3032, 75614 is 1.
HCF(4369, 3032, 75614) = 1
HCF of 4369, 3032, 75614 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4369, 3032, 75614 is 1.
Highest Common Factor of 4369,3032,75614 is 1
Step 1: Since 4369 > 3032, we apply the division lemma to 4369 and 3032, to get
4369 = 3032 x 1 + 1337
Step 2: Since the reminder 3032 ≠ 0, we apply division lemma to 1337 and 3032, to get
3032 = 1337 x 2 + 358
Step 3: We consider the new divisor 1337 and the new remainder 358, and apply the division lemma to get
1337 = 358 x 3 + 263
We consider the new divisor 358 and the new remainder 263,and apply the division lemma to get
358 = 263 x 1 + 95
We consider the new divisor 263 and the new remainder 95,and apply the division lemma to get
263 = 95 x 2 + 73
We consider the new divisor 95 and the new remainder 73,and apply the division lemma to get
95 = 73 x 1 + 22
We consider the new divisor 73 and the new remainder 22,and apply the division lemma to get
73 = 22 x 3 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4369 and 3032 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(73,22) = HCF(95,73) = HCF(263,95) = HCF(358,263) = HCF(1337,358) = HCF(3032,1337) = HCF(4369,3032) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 75614 > 1, we apply the division lemma to 75614 and 1, to get
75614 = 1 x 75614 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75614 is 1
Notice that 1 = HCF(75614,1) .
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Frequently Asked Questions on HCF of 4369, 3032, 75614 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 4369, 3032, 75614?
Answer: HCF of 4369, 3032, 75614 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4369, 3032, 75614 using Euclid's Algorithm?
Answer: For arbitrary numbers 4369, 3032, 75614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.