Highest Common Factor of 868, 535, 403 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 868, 535, 403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 868, 535, 403 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 868, 535, 403 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 868, 535, 403 is 1.
HCF(868, 535, 403) = 1
HCF of 868, 535, 403 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 868, 535, 403 is 1.
Highest Common Factor of 868,535,403 is 1
Step 1: Since 868 > 535, we apply the division lemma to 868 and 535, to get
868 = 535 x 1 + 333
Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 333 and 535, to get
535 = 333 x 1 + 202
Step 3: We consider the new divisor 333 and the new remainder 202, and apply the division lemma to get
333 = 202 x 1 + 131
We consider the new divisor 202 and the new remainder 131,and apply the division lemma to get
202 = 131 x 1 + 71
We consider the new divisor 131 and the new remainder 71,and apply the division lemma to get
131 = 71 x 1 + 60
We consider the new divisor 71 and the new remainder 60,and apply the division lemma to get
71 = 60 x 1 + 11
We consider the new divisor 60 and the new remainder 11,and apply the division lemma to get
60 = 11 x 5 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 868 and 535 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(60,11) = HCF(71,60) = HCF(131,71) = HCF(202,131) = HCF(333,202) = HCF(535,333) = HCF(868,535) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 403 > 1, we apply the division lemma to 403 and 1, to get
403 = 1 x 403 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 403 is 1
Notice that 1 = HCF(403,1) .
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Frequently Asked Questions on HCF of 868, 535, 403 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 868, 535, 403?
Answer: HCF of 868, 535, 403 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 868, 535, 403 using Euclid's Algorithm?
Answer: For arbitrary numbers 868, 535, 403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.