Highest Common Factor of 614, 855, 598 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 614, 855, 598 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 614, 855, 598 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 614, 855, 598 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 614, 855, 598 is 1.
HCF(614, 855, 598) = 1
HCF of 614, 855, 598 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 614, 855, 598 is 1.
Highest Common Factor of 614,855,598 is 1
Step 1: Since 855 > 614, we apply the division lemma to 855 and 614, to get
855 = 614 x 1 + 241
Step 2: Since the reminder 614 ≠ 0, we apply division lemma to 241 and 614, to get
614 = 241 x 2 + 132
Step 3: We consider the new divisor 241 and the new remainder 132, and apply the division lemma to get
241 = 132 x 1 + 109
We consider the new divisor 132 and the new remainder 109,and apply the division lemma to get
132 = 109 x 1 + 23
We consider the new divisor 109 and the new remainder 23,and apply the division lemma to get
109 = 23 x 4 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 614 and 855 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(109,23) = HCF(132,109) = HCF(241,132) = HCF(614,241) = HCF(855,614) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 598 > 1, we apply the division lemma to 598 and 1, to get
598 = 1 x 598 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 598 is 1
Notice that 1 = HCF(598,1) .
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Frequently Asked Questions on HCF of 614, 855, 598 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 614, 855, 598?
Answer: HCF of 614, 855, 598 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 614, 855, 598 using Euclid's Algorithm?
Answer: For arbitrary numbers 614, 855, 598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.