Highest Common Factor of 909, 9858 using Euclid's algorithm
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 909, 9858 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 909, 9858 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 909, 9858 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 909, 9858 is 3.
HCF(909, 9858) = 3
HCF of 909, 9858 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 909, 9858 is 3.
Highest Common Factor of 909,9858 is 3
Step 1: Since 9858 > 909, we apply the division lemma to 9858 and 909, to get
9858 = 909 x 10 + 768
Step 2: Since the reminder 909 ≠ 0, we apply division lemma to 768 and 909, to get
909 = 768 x 1 + 141
Step 3: We consider the new divisor 768 and the new remainder 141, and apply the division lemma to get
768 = 141 x 5 + 63
We consider the new divisor 141 and the new remainder 63,and apply the division lemma to get
141 = 63 x 2 + 15
We consider the new divisor 63 and the new remainder 15,and apply the division lemma to get
63 = 15 x 4 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 909 and 9858 is 3
Notice that 3 = HCF(15,3) = HCF(63,15) = HCF(141,63) = HCF(768,141) = HCF(909,768) = HCF(9858,909) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 909, 9858 using Euclid's Algorithm
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 909, 9858?
Answer: HCF of 909, 9858 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 909, 9858 using Euclid's Algorithm?
Answer: For arbitrary numbers 909, 9858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.