Highest Common Factor of 631, 836, 15, 103 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 631, 836, 15, 103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 631, 836, 15, 103 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 631, 836, 15, 103 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 631, 836, 15, 103 is 1.
HCF(631, 836, 15, 103) = 1
HCF of 631, 836, 15, 103 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 631, 836, 15, 103 is 1.
Highest Common Factor of 631,836,15,103 is 1
Step 1: Since 836 > 631, we apply the division lemma to 836 and 631, to get
836 = 631 x 1 + 205
Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 205 and 631, to get
631 = 205 x 3 + 16
Step 3: We consider the new divisor 205 and the new remainder 16, and apply the division lemma to get
205 = 16 x 12 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 631 and 836 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(205,16) = HCF(631,205) = HCF(836,631) .
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) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 103 > 1, we apply the division lemma to 103 and 1, to get
103 = 1 x 103 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 103 is 1
Notice that 1 = HCF(103,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 631, 836, 15, 103 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 631, 836, 15, 103?
Answer: HCF of 631, 836, 15, 103 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 631, 836, 15, 103 using Euclid's Algorithm?
Answer: For arbitrary numbers 631, 836, 15, 103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.