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 6183, 7166 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6183, 7166 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 6183, 7166 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 6183, 7166 is 1.
HCF(6183, 7166) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6183, 7166 is 1.
Step 1: Since 7166 > 6183, we apply the division lemma to 7166 and 6183, to get
7166 = 6183 x 1 + 983
Step 2: Since the reminder 6183 ≠ 0, we apply division lemma to 983 and 6183, to get
6183 = 983 x 6 + 285
Step 3: We consider the new divisor 983 and the new remainder 285, and apply the division lemma to get
983 = 285 x 3 + 128
We consider the new divisor 285 and the new remainder 128,and apply the division lemma to get
285 = 128 x 2 + 29
We consider the new divisor 128 and the new remainder 29,and apply the division lemma to get
128 = 29 x 4 + 12
We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get
29 = 12 x 2 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 6183 and 7166 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(128,29) = HCF(285,128) = HCF(983,285) = HCF(6183,983) = HCF(7166,6183) .
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 6183, 7166?
Answer: HCF of 6183, 7166 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6183, 7166 using Euclid's Algorithm?
Answer: For arbitrary numbers 6183, 7166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.