Highest Common Factor of 5286, 3855 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 5286, 3855 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5286, 3855 is 3 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 5286, 3855 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 5286, 3855 is 3.
HCF(5286, 3855) = 3
HCF of 5286, 3855 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5286, 3855 is 3.
Highest Common Factor of 5286,3855 is 3
Step 1: Since 5286 > 3855, we apply the division lemma to 5286 and 3855, to get
5286 = 3855 x 1 + 1431
Step 2: Since the reminder 3855 ≠ 0, we apply division lemma to 1431 and 3855, to get
3855 = 1431 x 2 + 993
Step 3: We consider the new divisor 1431 and the new remainder 993, and apply the division lemma to get
1431 = 993 x 1 + 438
We consider the new divisor 993 and the new remainder 438,and apply the division lemma to get
993 = 438 x 2 + 117
We consider the new divisor 438 and the new remainder 117,and apply the division lemma to get
438 = 117 x 3 + 87
We consider the new divisor 117 and the new remainder 87,and apply the division lemma to get
117 = 87 x 1 + 30
We consider the new divisor 87 and the new remainder 30,and apply the division lemma to get
87 = 30 x 2 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5286 and 3855 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(87,30) = HCF(117,87) = HCF(438,117) = HCF(993,438) = HCF(1431,993) = HCF(3855,1431) = HCF(5286,3855) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5286, 3855 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 5286, 3855?
Answer: HCF of 5286, 3855 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5286, 3855 using Euclid's Algorithm?
Answer: For arbitrary numbers 5286, 3855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.