Highest Common Factor of 6237, 3894 using Euclid's algorithm
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 6237, 3894 i.e. 33 the largest integer that leaves a remainder zero for all numbers.
HCF of 6237, 3894 is 33 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 6237, 3894 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 6237, 3894 is 33.
HCF(6237, 3894) = 33
HCF of 6237, 3894 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6237, 3894 is 33.
Highest Common Factor of 6237,3894 is 33
Step 1: Since 6237 > 3894, we apply the division lemma to 6237 and 3894, to get
6237 = 3894 x 1 + 2343
Step 2: Since the reminder 3894 ≠ 0, we apply division lemma to 2343 and 3894, to get
3894 = 2343 x 1 + 1551
Step 3: We consider the new divisor 2343 and the new remainder 1551, and apply the division lemma to get
2343 = 1551 x 1 + 792
We consider the new divisor 1551 and the new remainder 792,and apply the division lemma to get
1551 = 792 x 1 + 759
We consider the new divisor 792 and the new remainder 759,and apply the division lemma to get
792 = 759 x 1 + 33
We consider the new divisor 759 and the new remainder 33,and apply the division lemma to get
759 = 33 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 6237 and 3894 is 33
Notice that 33 = HCF(759,33) = HCF(792,759) = HCF(1551,792) = HCF(2343,1551) = HCF(3894,2343) = HCF(6237,3894) .
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Frequently Asked Questions on HCF of 6237, 3894 using Euclid's Algorithm
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 6237, 3894?
Answer: HCF of 6237, 3894 is 33 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6237, 3894 using Euclid's Algorithm?
Answer: For arbitrary numbers 6237, 3894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.