Highest Common Factor of 6294, 1681 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 6294, 1681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6294, 1681 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 6294, 1681 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 6294, 1681 is 1.
HCF(6294, 1681) = 1
HCF of 6294, 1681 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6294, 1681 is 1.
Highest Common Factor of 6294,1681 is 1
Step 1: Since 6294 > 1681, we apply the division lemma to 6294 and 1681, to get
6294 = 1681 x 3 + 1251
Step 2: Since the reminder 1681 ≠ 0, we apply division lemma to 1251 and 1681, to get
1681 = 1251 x 1 + 430
Step 3: We consider the new divisor 1251 and the new remainder 430, and apply the division lemma to get
1251 = 430 x 2 + 391
We consider the new divisor 430 and the new remainder 391,and apply the division lemma to get
430 = 391 x 1 + 39
We consider the new divisor 391 and the new remainder 39,and apply the division lemma to get
391 = 39 x 10 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6294 and 1681 is 1
Notice that 1 = HCF(39,1) = HCF(391,39) = HCF(430,391) = HCF(1251,430) = HCF(1681,1251) = HCF(6294,1681) .
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Frequently Asked Questions on HCF of 6294, 1681 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 6294, 1681?
Answer: HCF of 6294, 1681 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6294, 1681 using Euclid's Algorithm?
Answer: For arbitrary numbers 6294, 1681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.