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 820, 8952 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 820, 8952 is 4 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 820, 8952 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 820, 8952 is 4.
HCF(820, 8952) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 820, 8952 is 4.
Step 1: Since 8952 > 820, we apply the division lemma to 8952 and 820, to get
8952 = 820 x 10 + 752
Step 2: Since the reminder 820 ≠ 0, we apply division lemma to 752 and 820, to get
820 = 752 x 1 + 68
Step 3: We consider the new divisor 752 and the new remainder 68, and apply the division lemma to get
752 = 68 x 11 + 4
We consider the new divisor 68 and the new remainder 4, and apply the division lemma to get
68 = 4 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 820 and 8952 is 4
Notice that 4 = HCF(68,4) = HCF(752,68) = HCF(820,752) = HCF(8952,820) .
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 820, 8952?
Answer: HCF of 820, 8952 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 820, 8952 using Euclid's Algorithm?
Answer: For arbitrary numbers 820, 8952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.