Highest Common Factor of 805, 590, 530 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 805, 590, 530 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 805, 590, 530 is 5 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 805, 590, 530 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 805, 590, 530 is 5.
HCF(805, 590, 530) = 5
HCF of 805, 590, 530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 805, 590, 530 is 5.
Highest Common Factor of 805,590,530 is 5
Step 1: Since 805 > 590, we apply the division lemma to 805 and 590, to get
805 = 590 x 1 + 215
Step 2: Since the reminder 590 ≠ 0, we apply division lemma to 215 and 590, to get
590 = 215 x 2 + 160
Step 3: We consider the new divisor 215 and the new remainder 160, and apply the division lemma to get
215 = 160 x 1 + 55
We consider the new divisor 160 and the new remainder 55,and apply the division lemma to get
160 = 55 x 2 + 50
We consider the new divisor 55 and the new remainder 50,and apply the division lemma to get
55 = 50 x 1 + 5
We consider the new divisor 50 and the new remainder 5,and apply the division lemma to get
50 = 5 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 805 and 590 is 5
Notice that 5 = HCF(50,5) = HCF(55,50) = HCF(160,55) = HCF(215,160) = HCF(590,215) = HCF(805,590) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 530 > 5, we apply the division lemma to 530 and 5, to get
530 = 5 x 106 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 530 is 5
Notice that 5 = HCF(530,5) .
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Frequently Asked Questions on HCF of 805, 590, 530 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 805, 590, 530?
Answer: HCF of 805, 590, 530 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 805, 590, 530 using Euclid's Algorithm?
Answer: For arbitrary numbers 805, 590, 530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.