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 8098, 9668 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8098, 9668 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 8098, 9668 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 8098, 9668 is 2.
HCF(8098, 9668) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8098, 9668 is 2.
Step 1: Since 9668 > 8098, we apply the division lemma to 9668 and 8098, to get
9668 = 8098 x 1 + 1570
Step 2: Since the reminder 8098 ≠ 0, we apply division lemma to 1570 and 8098, to get
8098 = 1570 x 5 + 248
Step 3: We consider the new divisor 1570 and the new remainder 248, and apply the division lemma to get
1570 = 248 x 6 + 82
We consider the new divisor 248 and the new remainder 82,and apply the division lemma to get
248 = 82 x 3 + 2
We consider the new divisor 82 and the new remainder 2,and apply the division lemma to get
82 = 2 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8098 and 9668 is 2
Notice that 2 = HCF(82,2) = HCF(248,82) = HCF(1570,248) = HCF(8098,1570) = HCF(9668,8098) .
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 8098, 9668?
Answer: HCF of 8098, 9668 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8098, 9668 using Euclid's Algorithm?
Answer: For arbitrary numbers 8098, 9668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.