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 518, 919, 836 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 518, 919, 836 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 518, 919, 836 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 518, 919, 836 is 1.
HCF(518, 919, 836) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 518, 919, 836 is 1.
Step 1: Since 919 > 518, we apply the division lemma to 919 and 518, to get
919 = 518 x 1 + 401
Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 401 and 518, to get
518 = 401 x 1 + 117
Step 3: We consider the new divisor 401 and the new remainder 117, and apply the division lemma to get
401 = 117 x 3 + 50
We consider the new divisor 117 and the new remainder 50,and apply the division lemma to get
117 = 50 x 2 + 17
We consider the new divisor 50 and the new remainder 17,and apply the division lemma to get
50 = 17 x 2 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 518 and 919 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(50,17) = HCF(117,50) = HCF(401,117) = HCF(518,401) = HCF(919,518) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 836 > 1, we apply the division lemma to 836 and 1, to get
836 = 1 x 836 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 836 is 1
Notice that 1 = HCF(836,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 518, 919, 836?
Answer: HCF of 518, 919, 836 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 518, 919, 836 using Euclid's Algorithm?
Answer: For arbitrary numbers 518, 919, 836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.