Highest Common Factor of 535, 868, 854, 29 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 535, 868, 854, 29 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 535, 868, 854, 29 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 535, 868, 854, 29 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 535, 868, 854, 29 is 1.
HCF(535, 868, 854, 29) = 1
HCF of 535, 868, 854, 29 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 535, 868, 854, 29 is 1.
Highest Common Factor of 535,868,854,29 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 535 and 868 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 854 > 1, we apply the division lemma to 854 and 1, to get
854 = 1 x 854 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 854 is 1
Notice that 1 = HCF(854,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29 > 1, we apply the division lemma to 29 and 1, to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29 is 1
Notice that 1 = HCF(29,1) .
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Frequently Asked Questions on HCF of 535, 868, 854, 29 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 535, 868, 854, 29?
Answer: HCF of 535, 868, 854, 29 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 535, 868, 854, 29 using Euclid's Algorithm?
Answer: For arbitrary numbers 535, 868, 854, 29 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.