Highest Common Factor of 527, 869, 46 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 527, 869, 46 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 869, 46 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 527, 869, 46 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 527, 869, 46 is 1.
HCF(527, 869, 46) = 1
HCF of 527, 869, 46 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 527, 869, 46 is 1.
Highest Common Factor of 527,869,46 is 1
Step 1: Since 869 > 527, we apply the division lemma to 869 and 527, to get
869 = 527 x 1 + 342
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 342 and 527, to get
527 = 342 x 1 + 185
Step 3: We consider the new divisor 342 and the new remainder 185, and apply the division lemma to get
342 = 185 x 1 + 157
We consider the new divisor 185 and the new remainder 157,and apply the division lemma to get
185 = 157 x 1 + 28
We consider the new divisor 157 and the new remainder 28,and apply the division lemma to get
157 = 28 x 5 + 17
We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get
28 = 17 x 1 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 527 and 869 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(157,28) = HCF(185,157) = HCF(342,185) = HCF(527,342) = HCF(869,527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46 > 1, we apply the division lemma to 46 and 1, to get
46 = 1 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46 is 1
Notice that 1 = HCF(46,1) .
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Frequently Asked Questions on HCF of 527, 869, 46 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 527, 869, 46?
Answer: HCF of 527, 869, 46 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 869, 46 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 869, 46 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
