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 849, 84510 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 849, 84510 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 849, 84510 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 849, 84510 is 3.
HCF(849, 84510) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 849, 84510 is 3.
Step 1: Since 84510 > 849, we apply the division lemma to 84510 and 849, to get
84510 = 849 x 99 + 459
Step 2: Since the reminder 849 ≠ 0, we apply division lemma to 459 and 849, to get
849 = 459 x 1 + 390
Step 3: We consider the new divisor 459 and the new remainder 390, and apply the division lemma to get
459 = 390 x 1 + 69
We consider the new divisor 390 and the new remainder 69,and apply the division lemma to get
390 = 69 x 5 + 45
We consider the new divisor 69 and the new remainder 45,and apply the division lemma to get
69 = 45 x 1 + 24
We consider the new divisor 45 and the new remainder 24,and apply the division lemma to get
45 = 24 x 1 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 849 and 84510 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(45,24) = HCF(69,45) = HCF(390,69) = HCF(459,390) = HCF(849,459) = HCF(84510,849) .
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 849, 84510?
Answer: HCF of 849, 84510 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 849, 84510 using Euclid's Algorithm?
Answer: For arbitrary numbers 849, 84510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.