Highest Common Factor of 520, 895, 451 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 520, 895, 451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 895, 451 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 520, 895, 451 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 520, 895, 451 is 1.
HCF(520, 895, 451) = 1
HCF of 520, 895, 451 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 895, 451 is 1.
Highest Common Factor of 520,895,451 is 1
Step 1: Since 895 > 520, we apply the division lemma to 895 and 520, to get
895 = 520 x 1 + 375
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 375 and 520, to get
520 = 375 x 1 + 145
Step 3: We consider the new divisor 375 and the new remainder 145, and apply the division lemma to get
375 = 145 x 2 + 85
We consider the new divisor 145 and the new remainder 85,and apply the division lemma to get
145 = 85 x 1 + 60
We consider the new divisor 85 and the new remainder 60,and apply the division lemma to get
85 = 60 x 1 + 25
We consider the new divisor 60 and the new remainder 25,and apply the division lemma to get
60 = 25 x 2 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 520 and 895 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(60,25) = HCF(85,60) = HCF(145,85) = HCF(375,145) = HCF(520,375) = HCF(895,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 451 > 5, we apply the division lemma to 451 and 5, to get
451 = 5 x 90 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, 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 5 and 451 is 1
Notice that 1 = HCF(5,1) = HCF(451,5) .
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Frequently Asked Questions on HCF of 520, 895, 451 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 520, 895, 451?
Answer: HCF of 520, 895, 451 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 895, 451 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 895, 451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.