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 330, 8418, 2750 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 330, 8418, 2750 is 2 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 330, 8418, 2750 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 330, 8418, 2750 is 2.
HCF(330, 8418, 2750) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 330, 8418, 2750 is 2.
Step 1: Since 8418 > 330, we apply the division lemma to 8418 and 330, to get
8418 = 330 x 25 + 168
Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 168 and 330, to get
330 = 168 x 1 + 162
Step 3: We consider the new divisor 168 and the new remainder 162, and apply the division lemma to get
168 = 162 x 1 + 6
We consider the new divisor 162 and the new remainder 6, and apply the division lemma to get
162 = 6 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 330 and 8418 is 6
Notice that 6 = HCF(162,6) = HCF(168,162) = HCF(330,168) = HCF(8418,330) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2750 > 6, we apply the division lemma to 2750 and 6, to get
2750 = 6 x 458 + 2
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 2 and 6, to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6 and 2750 is 2
Notice that 2 = HCF(6,2) = HCF(2750,6) .
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 330, 8418, 2750?
Answer: HCF of 330, 8418, 2750 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 330, 8418, 2750 using Euclid's Algorithm?
Answer: For arbitrary numbers 330, 8418, 2750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.