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 6281, 5695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6281, 5695 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 6281, 5695 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 6281, 5695 is 1.
HCF(6281, 5695) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6281, 5695 is 1.
Step 1: Since 6281 > 5695, we apply the division lemma to 6281 and 5695, to get
6281 = 5695 x 1 + 586
Step 2: Since the reminder 5695 ≠ 0, we apply division lemma to 586 and 5695, to get
5695 = 586 x 9 + 421
Step 3: We consider the new divisor 586 and the new remainder 421, and apply the division lemma to get
586 = 421 x 1 + 165
We consider the new divisor 421 and the new remainder 165,and apply the division lemma to get
421 = 165 x 2 + 91
We consider the new divisor 165 and the new remainder 91,and apply the division lemma to get
165 = 91 x 1 + 74
We consider the new divisor 91 and the new remainder 74,and apply the division lemma to get
91 = 74 x 1 + 17
We consider the new divisor 74 and the new remainder 17,and apply the division lemma to get
74 = 17 x 4 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6281 and 5695 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(74,17) = HCF(91,74) = HCF(165,91) = HCF(421,165) = HCF(586,421) = HCF(5695,586) = HCF(6281,5695) .
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 6281, 5695?
Answer: HCF of 6281, 5695 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6281, 5695 using Euclid's Algorithm?
Answer: For arbitrary numbers 6281, 5695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.