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 6391, 3557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6391, 3557 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 6391, 3557 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 6391, 3557 is 1.
HCF(6391, 3557) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6391, 3557 is 1.
Step 1: Since 6391 > 3557, we apply the division lemma to 6391 and 3557, to get
6391 = 3557 x 1 + 2834
Step 2: Since the reminder 3557 ≠ 0, we apply division lemma to 2834 and 3557, to get
3557 = 2834 x 1 + 723
Step 3: We consider the new divisor 2834 and the new remainder 723, and apply the division lemma to get
2834 = 723 x 3 + 665
We consider the new divisor 723 and the new remainder 665,and apply the division lemma to get
723 = 665 x 1 + 58
We consider the new divisor 665 and the new remainder 58,and apply the division lemma to get
665 = 58 x 11 + 27
We consider the new divisor 58 and the new remainder 27,and apply the division lemma to get
58 = 27 x 2 + 4
We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get
27 = 4 x 6 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6391 and 3557 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(58,27) = HCF(665,58) = HCF(723,665) = HCF(2834,723) = HCF(3557,2834) = HCF(6391,3557) .
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 6391, 3557?
Answer: HCF of 6391, 3557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6391, 3557 using Euclid's Algorithm?
Answer: For arbitrary numbers 6391, 3557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.