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 3246, 3944, 38309 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3246, 3944, 38309 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 3246, 3944, 38309 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 3246, 3944, 38309 is 1.
HCF(3246, 3944, 38309) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3246, 3944, 38309 is 1.
Step 1: Since 3944 > 3246, we apply the division lemma to 3944 and 3246, to get
3944 = 3246 x 1 + 698
Step 2: Since the reminder 3246 ≠ 0, we apply division lemma to 698 and 3246, to get
3246 = 698 x 4 + 454
Step 3: We consider the new divisor 698 and the new remainder 454, and apply the division lemma to get
698 = 454 x 1 + 244
We consider the new divisor 454 and the new remainder 244,and apply the division lemma to get
454 = 244 x 1 + 210
We consider the new divisor 244 and the new remainder 210,and apply the division lemma to get
244 = 210 x 1 + 34
We consider the new divisor 210 and the new remainder 34,and apply the division lemma to get
210 = 34 x 6 + 6
We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get
34 = 6 x 5 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3246 and 3944 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(210,34) = HCF(244,210) = HCF(454,244) = HCF(698,454) = HCF(3246,698) = HCF(3944,3246) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38309 > 2, we apply the division lemma to 38309 and 2, to get
38309 = 2 x 19154 + 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 38309 is 1
Notice that 1 = HCF(2,1) = HCF(38309,2) .
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 3246, 3944, 38309?
Answer: HCF of 3246, 3944, 38309 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3246, 3944, 38309 using Euclid's Algorithm?
Answer: For arbitrary numbers 3246, 3944, 38309 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.