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, 867, 440, 625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 330, 867, 440, 625 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 330, 867, 440, 625 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, 867, 440, 625 is 1.
HCF(330, 867, 440, 625) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 330, 867, 440, 625 is 1.
Step 1: Since 867 > 330, we apply the division lemma to 867 and 330, to get
867 = 330 x 2 + 207
Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 207 and 330, to get
330 = 207 x 1 + 123
Step 3: We consider the new divisor 207 and the new remainder 123, and apply the division lemma to get
207 = 123 x 1 + 84
We consider the new divisor 123 and the new remainder 84,and apply the division lemma to get
123 = 84 x 1 + 39
We consider the new divisor 84 and the new remainder 39,and apply the division lemma to get
84 = 39 x 2 + 6
We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get
39 = 6 x 6 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 330 and 867 is 3
Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(84,39) = HCF(123,84) = HCF(207,123) = HCF(330,207) = HCF(867,330) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 440 > 3, we apply the division lemma to 440 and 3, to get
440 = 3 x 146 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 3 and 440 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(440,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 625 > 1, we apply the division lemma to 625 and 1, to get
625 = 1 x 625 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 625 is 1
Notice that 1 = HCF(625,1) .
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 330, 867, 440, 625?
Answer: HCF of 330, 867, 440, 625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 330, 867, 440, 625 using Euclid's Algorithm?
Answer: For arbitrary numbers 330, 867, 440, 625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.