Highest Common Factor of 6328, 1885 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 6328, 1885 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6328, 1885 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 6328, 1885 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 6328, 1885 is 1.
HCF(6328, 1885) = 1
HCF of 6328, 1885 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6328, 1885 is 1.
Highest Common Factor of 6328,1885 is 1
Step 1: Since 6328 > 1885, we apply the division lemma to 6328 and 1885, to get
6328 = 1885 x 3 + 673
Step 2: Since the reminder 1885 ≠ 0, we apply division lemma to 673 and 1885, to get
1885 = 673 x 2 + 539
Step 3: We consider the new divisor 673 and the new remainder 539, and apply the division lemma to get
673 = 539 x 1 + 134
We consider the new divisor 539 and the new remainder 134,and apply the division lemma to get
539 = 134 x 4 + 3
We consider the new divisor 134 and the new remainder 3,and apply the division lemma to get
134 = 3 x 44 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
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 6328 and 1885 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(134,3) = HCF(539,134) = HCF(673,539) = HCF(1885,673) = HCF(6328,1885) .
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Frequently Asked Questions on HCF of 6328, 1885 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 6328, 1885?
Answer: HCF of 6328, 1885 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6328, 1885 using Euclid's Algorithm?
Answer: For arbitrary numbers 6328, 1885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.