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 3567, 8861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3567, 8861 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 3567, 8861 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 3567, 8861 is 1.
HCF(3567, 8861) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3567, 8861 is 1.
Step 1: Since 8861 > 3567, we apply the division lemma to 8861 and 3567, to get
8861 = 3567 x 2 + 1727
Step 2: Since the reminder 3567 ≠ 0, we apply division lemma to 1727 and 3567, to get
3567 = 1727 x 2 + 113
Step 3: We consider the new divisor 1727 and the new remainder 113, and apply the division lemma to get
1727 = 113 x 15 + 32
We consider the new divisor 113 and the new remainder 32,and apply the division lemma to get
113 = 32 x 3 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 3567 and 8861 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(113,32) = HCF(1727,113) = HCF(3567,1727) = HCF(8861,3567) .
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 3567, 8861?
Answer: HCF of 3567, 8861 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3567, 8861 using Euclid's Algorithm?
Answer: For arbitrary numbers 3567, 8861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.