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 3666, 4046 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3666, 4046 is 2 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 3666, 4046 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 3666, 4046 is 2.
HCF(3666, 4046) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3666, 4046 is 2.
Step 1: Since 4046 > 3666, we apply the division lemma to 4046 and 3666, to get
4046 = 3666 x 1 + 380
Step 2: Since the reminder 3666 ≠ 0, we apply division lemma to 380 and 3666, to get
3666 = 380 x 9 + 246
Step 3: We consider the new divisor 380 and the new remainder 246, and apply the division lemma to get
380 = 246 x 1 + 134
We consider the new divisor 246 and the new remainder 134,and apply the division lemma to get
246 = 134 x 1 + 112
We consider the new divisor 134 and the new remainder 112,and apply the division lemma to get
134 = 112 x 1 + 22
We consider the new divisor 112 and the new remainder 22,and apply the division lemma to get
112 = 22 x 5 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3666 and 4046 is 2
Notice that 2 = HCF(22,2) = HCF(112,22) = HCF(134,112) = HCF(246,134) = HCF(380,246) = HCF(3666,380) = HCF(4046,3666) .
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 3666, 4046?
Answer: HCF of 3666, 4046 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3666, 4046 using Euclid's Algorithm?
Answer: For arbitrary numbers 3666, 4046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.