Highest Common Factor of 527, 186, 391 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, 186, 391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 186, 391 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, 186, 391 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, 186, 391 is 1.
HCF(527, 186, 391) = 1
HCF of 527, 186, 391 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, 186, 391 is 1.
Highest Common Factor of 527,186,391 is 1
Step 1: Since 527 > 186, we apply the division lemma to 527 and 186, to get
527 = 186 x 2 + 155
Step 2: Since the reminder 186 ≠ 0, we apply division lemma to 155 and 186, to get
186 = 155 x 1 + 31
Step 3: We consider the new divisor 155 and the new remainder 31, and apply the division lemma to get
155 = 31 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 527 and 186 is 31
Notice that 31 = HCF(155,31) = HCF(186,155) = HCF(527,186) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 391 > 31, we apply the division lemma to 391 and 31, to get
391 = 31 x 12 + 19
Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 19 and 31, to get
31 = 19 x 1 + 12
Step 3: We consider the new divisor 19 and the new remainder 12, and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 31 and 391 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(31,19) = HCF(391,31) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 527, 186, 391 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, 186, 391?
Answer: HCF of 527, 186, 391 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 186, 391 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 186, 391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.