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 4203, 3942 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 4203, 3942 is 9 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 4203, 3942 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 4203, 3942 is 9.
HCF(4203, 3942) = 9
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4203, 3942 is 9.
Step 1: Since 4203 > 3942, we apply the division lemma to 4203 and 3942, to get
4203 = 3942 x 1 + 261
Step 2: Since the reminder 3942 ≠ 0, we apply division lemma to 261 and 3942, to get
3942 = 261 x 15 + 27
Step 3: We consider the new divisor 261 and the new remainder 27, and apply the division lemma to get
261 = 27 x 9 + 18
We consider the new divisor 27 and the new remainder 18,and apply the division lemma to get
27 = 18 x 1 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4203 and 3942 is 9
Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(261,27) = HCF(3942,261) = HCF(4203,3942) .
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 4203, 3942?
Answer: HCF of 4203, 3942 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4203, 3942 using Euclid's Algorithm?
Answer: For arbitrary numbers 4203, 3942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.