Highest Common Factor of 863, 318, 115, 15 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 863, 318, 115, 15 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 863, 318, 115, 15 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 863, 318, 115, 15 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 863, 318, 115, 15 is 1.
HCF(863, 318, 115, 15) = 1
HCF of 863, 318, 115, 15 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 863, 318, 115, 15 is 1.
Highest Common Factor of 863,318,115,15 is 1
Step 1: Since 863 > 318, we apply the division lemma to 863 and 318, to get
863 = 318 x 2 + 227
Step 2: Since the reminder 318 ≠ 0, we apply division lemma to 227 and 318, to get
318 = 227 x 1 + 91
Step 3: We consider the new divisor 227 and the new remainder 91, and apply the division lemma to get
227 = 91 x 2 + 45
We consider the new divisor 91 and the new remainder 45,and apply the division lemma to get
91 = 45 x 2 + 1
We consider the new divisor 45 and the new remainder 1,and apply the division lemma to get
45 = 1 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 863 and 318 is 1
Notice that 1 = HCF(45,1) = HCF(91,45) = HCF(227,91) = HCF(318,227) = HCF(863,318) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 115 > 1, we apply the division lemma to 115 and 1, to get
115 = 1 x 115 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 115 is 1
Notice that 1 = HCF(115,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15 > 1, we apply the division lemma to 15 and 1, to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15 is 1
Notice that 1 = HCF(15,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 863, 318, 115, 15 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 863, 318, 115, 15?
Answer: HCF of 863, 318, 115, 15 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 863, 318, 115, 15 using Euclid's Algorithm?
Answer: For arbitrary numbers 863, 318, 115, 15 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.