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 5927, 8690, 69516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5927, 8690, 69516 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 5927, 8690, 69516 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 5927, 8690, 69516 is 1.
HCF(5927, 8690, 69516) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5927, 8690, 69516 is 1.
Step 1: Since 8690 > 5927, we apply the division lemma to 8690 and 5927, to get
8690 = 5927 x 1 + 2763
Step 2: Since the reminder 5927 ≠ 0, we apply division lemma to 2763 and 5927, to get
5927 = 2763 x 2 + 401
Step 3: We consider the new divisor 2763 and the new remainder 401, and apply the division lemma to get
2763 = 401 x 6 + 357
We consider the new divisor 401 and the new remainder 357,and apply the division lemma to get
401 = 357 x 1 + 44
We consider the new divisor 357 and the new remainder 44,and apply the division lemma to get
357 = 44 x 8 + 5
We consider the new divisor 44 and the new remainder 5,and apply the division lemma to get
44 = 5 x 8 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5927 and 8690 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(44,5) = HCF(357,44) = HCF(401,357) = HCF(2763,401) = HCF(5927,2763) = HCF(8690,5927) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69516 > 1, we apply the division lemma to 69516 and 1, to get
69516 = 1 x 69516 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69516 is 1
Notice that 1 = HCF(69516,1) .
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 5927, 8690, 69516?
Answer: HCF of 5927, 8690, 69516 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5927, 8690, 69516 using Euclid's Algorithm?
Answer: For arbitrary numbers 5927, 8690, 69516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.