Highest Common Factor of 886, 388, 513, 516 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 886, 388, 513, 516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 886, 388, 513, 516 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 886, 388, 513, 516 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 886, 388, 513, 516 is 1.
HCF(886, 388, 513, 516) = 1
HCF of 886, 388, 513, 516 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 886, 388, 513, 516 is 1.
Highest Common Factor of 886,388,513,516 is 1
Step 1: Since 886 > 388, we apply the division lemma to 886 and 388, to get
886 = 388 x 2 + 110
Step 2: Since the reminder 388 ≠ 0, we apply division lemma to 110 and 388, to get
388 = 110 x 3 + 58
Step 3: We consider the new divisor 110 and the new remainder 58, and apply the division lemma to get
110 = 58 x 1 + 52
We consider the new divisor 58 and the new remainder 52,and apply the division lemma to get
58 = 52 x 1 + 6
We consider the new divisor 52 and the new remainder 6,and apply the division lemma to get
52 = 6 x 8 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 886 and 388 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(52,6) = HCF(58,52) = HCF(110,58) = HCF(388,110) = HCF(886,388) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 513 > 2, we apply the division lemma to 513 and 2, to get
513 = 2 x 256 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 513 is 1
Notice that 1 = HCF(2,1) = HCF(513,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 516 > 1, we apply the division lemma to 516 and 1, to get
516 = 1 x 516 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 516 is 1
Notice that 1 = HCF(516,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 886, 388, 513, 516 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 886, 388, 513, 516?
Answer: HCF of 886, 388, 513, 516 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 886, 388, 513, 516 using Euclid's Algorithm?
Answer: For arbitrary numbers 886, 388, 513, 516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.