Highest Common Factor of 505, 593, 734 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 505, 593, 734 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 505, 593, 734 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 505, 593, 734 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 505, 593, 734 is 1.
HCF(505, 593, 734) = 1
HCF of 505, 593, 734 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 505, 593, 734 is 1.
Highest Common Factor of 505,593,734 is 1
Step 1: Since 593 > 505, we apply the division lemma to 593 and 505, to get
593 = 505 x 1 + 88
Step 2: Since the reminder 505 ≠ 0, we apply division lemma to 88 and 505, to get
505 = 88 x 5 + 65
Step 3: We consider the new divisor 88 and the new remainder 65, and apply the division lemma to get
88 = 65 x 1 + 23
We consider the new divisor 65 and the new remainder 23,and apply the division lemma to get
65 = 23 x 2 + 19
We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get
23 = 19 x 1 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 505 and 593 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(65,23) = HCF(88,65) = HCF(505,88) = HCF(593,505) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 734 > 1, we apply the division lemma to 734 and 1, to get
734 = 1 x 734 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 734 is 1
Notice that 1 = HCF(734,1) .
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Frequently Asked Questions on HCF of 505, 593, 734 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 505, 593, 734?
Answer: HCF of 505, 593, 734 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 505, 593, 734 using Euclid's Algorithm?
Answer: For arbitrary numbers 505, 593, 734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.