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 818, 944, 95 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 818, 944, 95 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 818, 944, 95 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 818, 944, 95 is 1.
HCF(818, 944, 95) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 818, 944, 95 is 1.
Step 1: Since 944 > 818, we apply the division lemma to 944 and 818, to get
944 = 818 x 1 + 126
Step 2: Since the reminder 818 ≠ 0, we apply division lemma to 126 and 818, to get
818 = 126 x 6 + 62
Step 3: We consider the new divisor 126 and the new remainder 62, and apply the division lemma to get
126 = 62 x 2 + 2
We consider the new divisor 62 and the new remainder 2, and apply the division lemma to get
62 = 2 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 818 and 944 is 2
Notice that 2 = HCF(62,2) = HCF(126,62) = HCF(818,126) = HCF(944,818) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 95 > 2, we apply the division lemma to 95 and 2, to get
95 = 2 x 47 + 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 95 is 1
Notice that 1 = HCF(2,1) = HCF(95,2) .
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 818, 944, 95?
Answer: HCF of 818, 944, 95 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 818, 944, 95 using Euclid's Algorithm?
Answer: For arbitrary numbers 818, 944, 95 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.