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 4110, 3723 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4110, 3723 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 4110, 3723 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 4110, 3723 is 3.
HCF(4110, 3723) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4110, 3723 is 3.
Step 1: Since 4110 > 3723, we apply the division lemma to 4110 and 3723, to get
4110 = 3723 x 1 + 387
Step 2: Since the reminder 3723 ≠ 0, we apply division lemma to 387 and 3723, to get
3723 = 387 x 9 + 240
Step 3: We consider the new divisor 387 and the new remainder 240, and apply the division lemma to get
387 = 240 x 1 + 147
We consider the new divisor 240 and the new remainder 147,and apply the division lemma to get
240 = 147 x 1 + 93
We consider the new divisor 147 and the new remainder 93,and apply the division lemma to get
147 = 93 x 1 + 54
We consider the new divisor 93 and the new remainder 54,and apply the division lemma to get
93 = 54 x 1 + 39
We consider the new divisor 54 and the new remainder 39,and apply the division lemma to get
54 = 39 x 1 + 15
We consider the new divisor 39 and the new remainder 15,and apply the division lemma to get
39 = 15 x 2 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4110 and 3723 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(39,15) = HCF(54,39) = HCF(93,54) = HCF(147,93) = HCF(240,147) = HCF(387,240) = HCF(3723,387) = HCF(4110,3723) .
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 4110, 3723?
Answer: HCF of 4110, 3723 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4110, 3723 using Euclid's Algorithm?
Answer: For arbitrary numbers 4110, 3723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.