Highest Common Factor of 895, 503, 603 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 895, 503, 603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 895, 503, 603 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 895, 503, 603 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 895, 503, 603 is 1.
HCF(895, 503, 603) = 1
HCF of 895, 503, 603 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 895, 503, 603 is 1.
Highest Common Factor of 895,503,603 is 1
Step 1: Since 895 > 503, we apply the division lemma to 895 and 503, to get
895 = 503 x 1 + 392
Step 2: Since the reminder 503 ≠ 0, we apply division lemma to 392 and 503, to get
503 = 392 x 1 + 111
Step 3: We consider the new divisor 392 and the new remainder 111, and apply the division lemma to get
392 = 111 x 3 + 59
We consider the new divisor 111 and the new remainder 59,and apply the division lemma to get
111 = 59 x 1 + 52
We consider the new divisor 59 and the new remainder 52,and apply the division lemma to get
59 = 52 x 1 + 7
We consider the new divisor 52 and the new remainder 7,and apply the division lemma to get
52 = 7 x 7 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 895 and 503 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(52,7) = HCF(59,52) = HCF(111,59) = HCF(392,111) = HCF(503,392) = HCF(895,503) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 603 > 1, we apply the division lemma to 603 and 1, to get
603 = 1 x 603 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 603 is 1
Notice that 1 = HCF(603,1) .
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Frequently Asked Questions on HCF of 895, 503, 603 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 895, 503, 603?
Answer: HCF of 895, 503, 603 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 895, 503, 603 using Euclid's Algorithm?
Answer: For arbitrary numbers 895, 503, 603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.