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 3723, 7837 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 3723, 7837 is 17 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 3723, 7837 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 3723, 7837 is 17.
HCF(3723, 7837) = 17
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3723, 7837 is 17.
Step 1: Since 7837 > 3723, we apply the division lemma to 7837 and 3723, to get
7837 = 3723 x 2 + 391
Step 2: Since the reminder 3723 ≠ 0, we apply division lemma to 391 and 3723, to get
3723 = 391 x 9 + 204
Step 3: We consider the new divisor 391 and the new remainder 204, and apply the division lemma to get
391 = 204 x 1 + 187
We consider the new divisor 204 and the new remainder 187,and apply the division lemma to get
204 = 187 x 1 + 17
We consider the new divisor 187 and the new remainder 17,and apply the division lemma to get
187 = 17 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 3723 and 7837 is 17
Notice that 17 = HCF(187,17) = HCF(204,187) = HCF(391,204) = HCF(3723,391) = HCF(7837,3723) .
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 3723, 7837?
Answer: HCF of 3723, 7837 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3723, 7837 using Euclid's Algorithm?
Answer: For arbitrary numbers 3723, 7837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.