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 4962, 9837 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4962, 9837 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 4962, 9837 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 4962, 9837 is 3.
HCF(4962, 9837) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4962, 9837 is 3.
Step 1: Since 9837 > 4962, we apply the division lemma to 9837 and 4962, to get
9837 = 4962 x 1 + 4875
Step 2: Since the reminder 4962 ≠ 0, we apply division lemma to 4875 and 4962, to get
4962 = 4875 x 1 + 87
Step 3: We consider the new divisor 4875 and the new remainder 87, and apply the division lemma to get
4875 = 87 x 56 + 3
We consider the new divisor 87 and the new remainder 3, and apply the division lemma to get
87 = 3 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4962 and 9837 is 3
Notice that 3 = HCF(87,3) = HCF(4875,87) = HCF(4962,4875) = HCF(9837,4962) .
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 4962, 9837?
Answer: HCF of 4962, 9837 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4962, 9837 using Euclid's Algorithm?
Answer: For arbitrary numbers 4962, 9837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.