Highest Common Factor of 9658, 6892 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 9658, 6892 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9658, 6892 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 9658, 6892 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 9658, 6892 is 2.
HCF(9658, 6892) = 2
HCF of 9658, 6892 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9658, 6892 is 2.
Highest Common Factor of 9658,6892 is 2
Step 1: Since 9658 > 6892, we apply the division lemma to 9658 and 6892, to get
9658 = 6892 x 1 + 2766
Step 2: Since the reminder 6892 ≠ 0, we apply division lemma to 2766 and 6892, to get
6892 = 2766 x 2 + 1360
Step 3: We consider the new divisor 2766 and the new remainder 1360, and apply the division lemma to get
2766 = 1360 x 2 + 46
We consider the new divisor 1360 and the new remainder 46,and apply the division lemma to get
1360 = 46 x 29 + 26
We consider the new divisor 46 and the new remainder 26,and apply the division lemma to get
46 = 26 x 1 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9658 and 6892 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(46,26) = HCF(1360,46) = HCF(2766,1360) = HCF(6892,2766) = HCF(9658,6892) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9658, 6892 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 9658, 6892?
Answer: HCF of 9658, 6892 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9658, 6892 using Euclid's Algorithm?
Answer: For arbitrary numbers 9658, 6892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.