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 4170, 8282 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4170, 8282 is 2 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 4170, 8282 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 4170, 8282 is 2.
HCF(4170, 8282) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4170, 8282 is 2.
Step 1: Since 8282 > 4170, we apply the division lemma to 8282 and 4170, to get
8282 = 4170 x 1 + 4112
Step 2: Since the reminder 4170 ≠ 0, we apply division lemma to 4112 and 4170, to get
4170 = 4112 x 1 + 58
Step 3: We consider the new divisor 4112 and the new remainder 58, and apply the division lemma to get
4112 = 58 x 70 + 52
We consider the new divisor 58 and the new remainder 52,and apply the division lemma to get
58 = 52 x 1 + 6
We consider the new divisor 52 and the new remainder 6,and apply the division lemma to get
52 = 6 x 8 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4170 and 8282 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(52,6) = HCF(58,52) = HCF(4112,58) = HCF(4170,4112) = HCF(8282,4170) .
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 4170, 8282?
Answer: HCF of 4170, 8282 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4170, 8282 using Euclid's Algorithm?
Answer: For arbitrary numbers 4170, 8282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.